Digital Electronics - Complete Course (104+ Hours)

Explore the xnor gate, its equivalence and parity properties, including 2-input, 3-input, and 4-input behavior, equality detection, and practical applications in parity generation and detection.

Explore the decimal number system, base ten, with digits 0–9 and place-value weights. Demonstrate integer and decimal representations and prepare for binary conversions.

Learn decimal to binary conversion with division by 2 and handling fractions via multiplication by 2, featuring 27, 37, and 19.125 examples.

Explore decimal arithmetic basics—addition, subtraction, multiplication, and division in the decimal number system. Preview binary arithmetic and computer techniques with complements, noting octal and hexadecimal tie-ins.

Learn binary subtraction rules and borrow techniques through step-by-step examples, showing how to handle 0 minus 1 and other borrows to obtain correct binary results.

Learn binary multiplication by forming partial products with and rules, shifting, and adding to get the final product, while handling binary and decimal points and noting Booth and computer methods.

Perform binary division by successive subtraction using the MQ and D registers, tracking quotient and remainder, and managing borrow, carry flags, and left-shift operations.

In digital electronics, the lecture explains two's complement calculation and representations, including ones complement, sign magnitude, and unsigned forms, plus the range and the special minus zero case.

Demonstrate 8-bit one's complement arithmetic by converting subtraction into addition, using carry around, and reading the result from the MSB in examples like 25 minus 14.

Explore 12-bit two's complement arithmetic by adding a positive and a negative fixed-point number, including representation of 0.5 and 0.75, sign bits, and carry handling.

Explore unsigned binary subtraction using two's and one's complement, matching bit lengths, performing complements, and interpreting results via carry to indicate positive values, as unsigned numbers lack a sign bit.

This lecture contrasts unsigned and signed binary arithmetic using 1's and 2's complements, explains carry handling and MSB rules, and demonstrates subtracting x and y.

Learn how to convert between octal and decimal numbers using base-8 powers, division, and multiplication methods, with integer and fractional part examples.

Convert between decimal and hexadecimal using base-16 representations to simplify large binary and decimal conversions. Map digits A–F, apply 16 power positions, and perform hexadecimal arithmetic.

Master base determination and conversion by solving decimal to base representations, using trial and error, and recognizing the same number across 2 to 8 base systems.

Explores numbers in base 18 and decimal conversions, with division among three daughters and two sons. Also converts rupees to Saturn currency and allocates funds for food, clothing, and travel.

Introduces bcd codes with 8421 natural bcd, a 4-bit per digit representation for 0-9, contrasts with binary for digits beyond 9, and outlines addition and subtraction.

Explore xs-3 code, a binary, non-weighted, self-complementing BCD-based system where each digit is mapped by adding 3, enabling arithmetic, sequential coding, and 9's complement operations.

Explore xs3 subtraction using complement, applying xs3 addition rules and 9s and 10s complement; understand end-around carry, how carry indicates positive normal result, and convert back from xs3.

Explore subtraction in axis 3 and bcd arithmetic using 9's and 10's complements, end-around carry, and excess-3 representations through examples like 92 minus 67 and 92 minus 367.

Explore how parity bits and checksum bits detect errors in transmitted data, using even and odd parity, xor-based checksum bits, and retransmission for unresolved errors.

Explore the 7-bit hamming code, combining 4 data bits with 3 parity bits into a 7-bit code word. Parity checks using C1, C2, and C3 locate and correct single-bit errors.

Explore 15-bit hamming codes, extending the 7-bit scheme with 11 data bits and 4 parity bits to form a 15-bit code word, enabling single-error correction and parity-based data transmission.

Explore the implementation of combinational circuits by interconnecting logic gates to map inputs to outputs, without memory, using design procedures, K-maps, and minimized functions, including half and full adders.

Follow the design procedure for combinational circuits: determine input and output counts, derive the truth table, establish input-output relations, simplify with KMAP, and implement the circuit.

Designs a 3-bit input square circuit that yields a 6-bit binary output, using truth tables and Karnaugh maps to derive Y5–Y0 from A, B, C inputs.

Design and analyze a combinational circuit using KMFs to map inputs to outputs, and explore half adder, half subtractor, full subtractor, and a 2-bit binary multiplier with basic gates.

Implement a full adder with universal gates, deriving sum as A XOR B XOR Ci and carry as Ci+1, and compare NAND versus NOR realizations with gate counts and delays.

Explore a 4-bit binary ripple adder-subtractor using full adders to form 2's complement for subtraction via a mode signal and xor gates.

Explore the serial adder, a low-complexity sequential circuit using a flip-flop and shift registers with a one-bit full adder to add bits serially.

Explore the binary subtractor using 1's complement. Use A plus the 1's complement of B with end around carry and MSB rules to determine signed results in a 4-bit adder.

Explore the 1-digit BCD adder circuit at the component level, using a 4-bit parallel adder, an F detector for invalid sums, and a 6-addition trick to handle carries.

Explore how the BCD adder performs decimal and BCD addition, why F and C dash convey the same information, and how a box model enables cascading multi-digit addition.

Extend a four-digit BCD subtractor to multiple digits using 9's complementor and 10th complementor, propagating carries across digits and using the MSB carry to determine the result.

Explain how the XS-3 adder handles decimal addition, adding 3 or 13 based on carry, with examples and carry propagation for multi-digit operations.

Explore XS3 subtraction using 1's and 2's complement in unsigned arithmetic, and compare with BCD subtraction while analyzing carry propagation and end-around carry.

Explore code converters, a combinational circuit that makes systems using binary, BCD, gray, and XS3 codes compatible by converting between codes, enabling arithmetic and data exchange.

Learn how to design a 4-bit binary to gray code converter using a reflective method, truth tables, K-maps, and minimized XOR expressions.

Explore a 4-bit binary to BCD converter using Karnaugh maps, defining BCD up to 9 with an extra variable and don't care inputs beyond 9, and derive output expressions.

Learn how a seven segment display represents digits 0–9 using seven segments and A–G control lines. Explore driving single or multiple displays from a 4-bit input.

design a seven-segment display detector for a four-bit bcd input that flags numbers 0, 2, 6, and 8 illuminating the lower left segment, and derive the boolean expression and circuit.

Explore how a two-digit seven-segment display works, using a binary input to drive two BCD-to-seven-segment converters, a counter, and a clock to count from 00 to 99.

Explore parity generation and checking in digital communications, using an xor-based parity bit added at the transmitter and verified by the receiver for even or odd parity.

Explore 3-bit parity generation using xor of d2, d1, d0 to yield even parity, then extend to odd parity and parity checks with k-map analysis.

Build a 16‑bit parity checker using the TI 74180 by cascading two 8‑bit blocks, with E=1 for even parity and unused bits grounded.

Learn the 1-bit magnitude comparator, a combinational circuit that compares A and B to produce G, E, and L (greater, equal, less). See how to generalize with k-maps and XNOR.

Explore the 2-bit magnitude comparator, extending from 1-bit, using msb-first logic to determine greater, equal, or less with A1, A0, B1, B0 and outputs G, E, L.

Explore an alternative, modular approach to implementing a 2-bit comparator, deriving non-minimized expressions that scale to higher bits, using paired terms, xnor, and greater/less outcomes.

Examine the problem of magnitude comparators as bit width grows, show how input variables and k-map complexity rises, and explain modular construction from 1- and 2-bit blocks to higher-bit comparators.

Explore a 2-bit magnitude comparator built in a modular fashion, derive G, E, and L expressions from A1,A0 and B1,B0, and preview extension to 3- and 4-bit designs.

Explore the decoder, a key combinational circuit that converts binary input to a single active output and demonstrates one-hot encoding with n inputs producing m outputs (m ≤ 2^n).

Demonstrates the application of decoders in implementing multiple combinational functions by tapping minterms and feeding them to or gates, illustrated with a full adder and its sum and carry outputs.

Explore the motivation for priority encoders, solving all-zero input and multi-input ambiguity in normal encoders with a valid bit, priority selection, and do-not-care terms, optionally with enable.

Analyze encoder and priority encoder concepts, including 4x2 and 8x3 types, modular design challenges, and issues with all-zero inputs along with the valid bit and enable.

Learn how a multiplexer acts as a data selector, passing one of many inputs to a single output based on select lines and enabling time-division multiplexing.

Master a modular design to build a 16x1 mux from smaller 8x1 and 4x1 units, using four select lines and permanent enables.

Visualize static hazard in a simple circuit where two delayed paths feed an or gate, caused by delta1 and delta2. Show that delta1>delta2 creates a glitch; delta2>=delta1 avoids it.

Analyze static hazards in a digital circuit from example 2 with OR and AND gates and delays, showing how delta 1 relative to delta 2 causes a static 0 hazard.

Explore dynamic hazard in digital electronics, where a single input bit change can cause the combinational output to flip multiple times due to path delays, unlike static hazard.

Explore the design and analysis of combinational circuits, from adders and subtractors to decoders, encoders, and hazard-free modular designs, with insights on memory implications.

Summarize sr latch configurations with nor and nand, showing active high and active low variants and rs versus sr inputs, memory behavior, and jk extension toward d and t latch.

The lecture explains the JK latch using a NOR SR latch, eliminating the invalid condition with a toggle. It shows 00 no change, 01 reset, 10 set, 11 toggle.

Explore the NAND SR gated latch, comparing active high and active low, with clocked S bar and R bar inputs and their set, reset, and invalid states.

Explore the t gated latch with jk inputs, showing nor and nand versions, where t toggles q and q bar based on clock, with active high positive edge trigger.

Examine master-slave configurations for sr, d, and t latches and jk behavior, using positive and negative level clocks, and introduce edge-triggered flip-flop concepts with edge detection in next videos.

Understand SR flip-flop operation, including edge-triggered behavior, active high/low types using NOR and NAND, and the characteristic and excitation tables plus next-state equations for design.

Learn to convert between flip-flops, including SR to JK and T from D, by deriving excitation and characteristic tables, then using K-maps and XOR to implement JK and D designs.

Examine flip-flop characteristics, including propagation delay, setup and hold times, rise and fall times, and clock to queue delay, with emphasis on tplh and tphl measurements.

Explore setup time and hold time in flip-flops, defining input stability before and after the clock edge, and learn to compute clock frequency with propagation delays.

Explore memory elements and flip-flops, including latches, SR/JK/D/T types, and edge- and level-triggered designs, with asynchronous preset/clear and key timing characteristics; preview applications in counters, resistors, and FSMs.

Learn bounce elimination circuits using an SR latch to suppress switch chattering and stabilize 0 to 1 transitions, and explore their use as a simple 1-bit read/write memory cell.

Master serial in, serial out shift registers powered by a common clock. Explore SISO, SIPO, PISO, and PIPO data pathways and timing like 2n-1 clock cycles for n-bit transfers.

Discover how to implement a 2-bit down counter by wiring the clock to Q0 bar, and understand the negative-edge triggering, mod-4 counting, and frequency division by 2 and 4.

Explore non-ripple asynchronous counters, where clocks are not shared. Use timing diagrams or transition tables to determine sequence and modulus with JK flip-flops in toggle mode, preparing for synchronous counters.

design and analyze synchronous counters, contrast with asynchronous types, plan input conditions and clocking, and address lockout with self-starting ring and Johnson counters and sequence generation.

Analyze the lockout in a t flip-flop counter and why three flip-flops are needed for six states. Discover how to redesign for a self-starting, lockout-free counter by breaking the loop.

Design a synchronous counter with D flip-flops to generate the 1357 sequence and verify self-starting; analyze a modulus-6 counter with T flip-flops.

Examine how unused states cause lockout in a ring counter and how a simple nor gate feedback with the serial input creates a self-starting, lockout-free counter.

Explore ring counter fundamentals, clock timing with tpd and nor delays, and practical applications including interrupt generation, sequential LED driving, and use in ADCs and stepper motors.

Investigate the twisted ring counter, a Johnson-counter variant, tracing its circuit behavior from 0000 to 1111, its state expansion, and the lockout considerations for a 2^n design.

Explore method one of pulse train generation by designing a synchronous counter that yields a 1110 pulse sequence, using a dedicated flip-flop, unique state assignments, and jk excitation analysis.

Explore edge-triggered flip-flops in modern CMOS, including 74 lvc low voltage flip-flops with clear and preset and SN74AHC273 octal D flip-flops, highlighting memory behavior and invalid states.

Learn to interpret state diagrams and state tables for mealy machines, mapping present state, inputs, and outputs for circuit implementation.

Explore the differences between Mealy and Moore machines and why mixing their state diagrams creates confusion; learn to design separate Mealy and Moore machines for the same problem.

Explore converting Mealy to Moore and Moore to Mealy, building state diagrams and tables, and choosing crisscross formats to reduce confusion and clarify transitions.

Explore state diagrams and state tables through a Mealy and Moore machine example, clarifying transitions, present vs next state, and how outputs are determined before state reduction.

State reduction removes redundant or equivalent states by ensuring all inputs yield the same next state and outputs, producing a reduced state diagram and Mealy state table.

Analyze the state diagram and state table to perform state reduction, identify equivalent states, and reduce the machine to its most reduced form with three states, preserving outputs.

Design a sequential circuit by turning a real system into a finite state machine and assigning states. From a state diagram, build a Mealy machine with D flip-flops and K-maps.

Design a sequential circuit using D flip-flops for a multi-state FSM, reduce redundant states, assign four states with two flip-flops, derive excitation and next-state equations, and implement the final circuit.

Design a four-state sequential circuit with D flip-flops from a reduced state diagram, derive excitation and next-state equations, and implement with k-maps and XOR logic.

Explore designing a serial adder as a Mealy machine by implementing a serial ladder with flip-flops, carry propagation, and next-state logic for bit-by-bit addition.

Describe converting a serial adder from a two-state to a four-state Moore machine, mapping outputs and carries, and deriving the excitation table and next-state logic.

Explore sequence detectors, a sequential circuit that outputs one when a target bit pattern is detected and zero otherwise; compare overlapping and non-overlapping types with examples.

Explore how a sequence detector works with overlapping and non overlapping outputs, using the example input 101110101111 and the detection of the 111 pattern.

Study sequence detector state diagrams and their basis in finite state machines, comparing overlapping and non-overlapping designs. Build the 11011 detector, analyze state transitions, outputs, and flip-flop requirements.

Explore the sequence detector state diagram for 11011, showing how the FSM uses an extra detect state, handles overlapping, and contrasts overlapping allowed versus not allowed.

Explore constructing a sequence detector using a Mealy machine, analyzing overlapping and non-overlapping 1010 detection with state diagrams and output behavior.

Design a sequence detector using a state diagram, illustrating overlapping allowed and not-allowed cases, with transitions between states and outputs as input bits arrive.

Design and analyze A0101 sequence detectors using state diagrams for overlapping and non-overlapping detection, tracing transitions through states A to E.

Explore how sequence detector state diagrams manage non-overlapping and overlapping detection, illustrated with examples like 110 and 111 to show how matching first and last bits guides the state.

Design a three-sequence detector using state diagrams for sequences 1100, 1010, and 1001, comparing overlapping not allowed versus overlapping allowed while signaling a detected sequence with output one.

Explore building a sequence detector with a Murray diagram and state diagram, handling non-overlapping and overlapping sequences, and tracing outputs for patterns like 1100 and 1010.

Learn the complete design of sequence detectors, including state diagrams for overlapping and non-overlapping cases, using a 110 example to derive state tables and a realizable Mealy Murray circuit.

Design a complete sequence detector for 1001 with D flip-flops in Mealy version, handling overlapping and non-overlapping cases, with state diagrams, excitation tables, and implementation details.

Demonstrates designing a five-state sequence detector with three flip-flops, detailing overlapping versus non-overlapping detection, state diagrams, excitation tables, and K-map derivations.

Moore machines provide stable, safe outputs since outputs depend only on the present state, not the input. They suit medical and railway signaling; Mealy serves instant reactions.

Explore designing a two-floor elevator controller as a finite state machine, detailing present and next state logic, up or down inputs, and red and green indicators.

Discover how a two-button digital lock uses a finite state machine with five states to require pressing and releasing B2 then B1, unlocking only on the correct sequence.

Derive the sequence of a synchronous sequential circuit using a t flip-flop, building present and next state tables and tracing q1 and q0 through toggling and or conditions.

Explore programmable logic devices (plds) as a bridge between breadboard prototypes and application-specific integrated circuits, enabling hardware implementations of combinational and sequential circuits with easy modification.

Explore the types of simple pld architectures—prom, pla, and pal—and contrast them with complex pld and fpgas, noting a shift from older, mostly combinational designs to powerful modern fpgas.

explains note points in PLD, permanent connections, and programming by blowing fuses, with dark circles and crosses illustrating wiring. covers PAL/PLA size and PROM basics: address lines and outputs.

Explore programmable read-only memory (prom) by building a 4x2 rom from decoders, understanding address lines, minterms, and fuse-map programming to realize s and c outputs.

Explore PROM implementation in digital electronics, mapping minterms to truth tables with address lines, decoders, and OR gates; program PROM by wiring fuse connections to realize functions.

Learn how PROM is programmed to realize XNOR and XOR gates by selectively fusing connections, using diodes to prevent shorts, and documenting the truth table.

Explore how default minterm generation in PROM-like circuits leads to waste, and how programmable logic arrays generate only the required product terms, reducing gate count and circuit area.

Explore how a programmable logic array uses programmable and gates and a programmable or gate to realize functions with fewer gates, via minterms, product terms, and a full adder.

Apply optimized design to reduce and gates in PLA and PAL by identifying common product terms and using F1, F2 and their complements, plus XOR-based inversion to minimize gates.

Demonstrates optimized design for a four-function circuit using a three-input, four-output pla and Karnaugh maps to minimize and gates, derive f1, f2, f3, f4 bar, and discuss pal.

Pal fixes the or gates and programs only the and gates to reduce overhead. Dedicated and gates serve each or gate, with unequal distribution and unused gates allowed.

Explore programmable array logic (pal) with 3x3x1 and 3x2x1 configurations, wiring product terms into end gates to realize f1, f2, and f3 from three inputs and one output.

This lecture traces the evolution of simple plds from prom to pla to pal, highlighting fixed vs programmable inputs and reduced and gate counts, with notes on academic relevance today.

Learn about pal 16 l8 ic architecture, including 16 inputs (and their complements), eight outputs, dedicated input pins, and how nand and end gates drive outputs with a tri-state control.

Explore how the elegant PAL 16L8 design enables input and output usage, tri-state operation, and cascading architectures. Learn to implement cross-coupled NAND latch and scale product terms for complex functions.

Explore pal ic architectures and sequential circuits by examining pal 16 l8, pal 16 r4, and pal 16 r6, demonstrating flip-flops, feedback, nested logic, and present/next state design.

Explore sequential circuits using PAL architectures, from one-bit flip-flop feedback to next-state, present-state, and output logic, and compare PAL 16 R4 with PAL 22V10 for improved capacity.

Explore the PAL 22 V ten programmable array logic IC, its macrocell architecture with a flip-flop, clock, and multiplexers, and how asynchronous reset and synchronous set control outputs.

Explore the pal 22v10 macrocell with 22 inputs and 10 outputs, featuring a microcell and flexible output options for combinational designs and optimization using f1, f1 bar, f2, f2 bar.

Shows implementing an eight-bit odd parity generator in a PAL 22V10 PLD, examining XOR-based parity, and the product-term limits that affect feasibility.

explore programming technologies and semiconductor memories, comparing fusing with eprom, eeprom, and flash for making connections and implementing wired logic like nand and nor.

Explain the evolution from UV erasable memory to electrically erasable memory, highlighting EEPROM and flash architectures, pass transistors, NAND/NOR layouts, and floating-gate operation.

This lecture motivates complex PLDs by explaining SPLD limits—few flip-flops and small memories—and shows how glue logic and chip-select decoding with system-on-chip integration drive the shift to CPLDs and FPGAs.

Explore complex plds as blocks of simple plds connected by programmable interconnects, using product term allocators to route gates to or gates or xor gates.

Explore how CPLDs integrate simple PLD blocks into macro cells and a programmable interconnect array, featuring a crossbar switch that connects inputs to outputs in Altera MAC devices.

Compare Xilinx CPLDs architectures, including macrocells, labs, and I/O blocks, across EPM and XC9500, and explore microcells, muxes, feedback, and crossbar concepts from the datasheet.

Explore the macrocell of a max 7000 s CPLD, including the product term allocator, flip-flops, fast select paths, and cascading outputs for combinational and sequential design.

Explore how a VHDL example translates into a CPLD circuit, detailing clock, reset, and enable behavior, and derive the q output from a XOR b on a positive-edge trigger.

Explore how the product term allocator, i/o block, and timing model relate to cplds, using the product term select matrix, demultiplexers, and various gates for cascading.

Compare CPLDs and FPGAs, noting FPGAs offer larger architectures with look-up tables and many registers, while CPLDs are still used for small designs like protocol translation.

Explore the fundamentals of digital to analog converters and analog to digital converters, focusing on DAC top-level operation, Vref, bit weights, full scale, and LSB definitions.

Explore how a top-level digital to analog converter translates n-bit digital input into output voltage, derive resolution and step size, and compute lsb and full-scale relationships.

Explore the r-2r ladder dac, a digital-to-analog converter using r and 2r resistors to convert binary inputs into an output voltage, with k equals vr divided by 2^n.

Explore the R-2R DAC architecture, derive full-scale and LSB voltages for an n-bit ladder, and analyze non-inverting and inverting op-amp outputs with their gains.

Explore binary weighted DAC architecture, noting fixed full-scale and LSB voltages after the DAC, with gain applied post-DAC. Highlight the decimal weighting and the practical drawbacks of many resistors.

Learn the binary weighted DAC using inverting and non-inverting op-amp configurations, with MSB to LSB weighting, current summation, and the impact of resistor values on output.

Compare the r-2r ladder DAC with the binary weighted DAC to explain architecture, output behavior, and why the r-2r design favors scalability and linearity.

Examine the inverted r-2r dac, a switched current, mdx multiplying dac that yields a current output with a virtual ground, requiring a resistor to produce voltage at the output.

Analyze a four-bit inverting DAC using an R-2R network, compute Vout from a 10 V input as -6.25 V, and design a binary-weighted DAC with a -5 V full-scale range.

Explains a switched capacitor DAC with a four-bit capacitor network, mapping digital inputs to VR reference and ground through weighted capacitors, using voltage division to produce Vout.

Explore the string DAC, a Kelvin divider circuit that converts digital input bits to an analog output. It uses switches, resistors, Vref, and a non-inverting amplifier.

Explore DAC specifications and datasheet parameters, including resolution, accuracy, offset and gain errors, INL and DNL, missing codes, monotonicity, temperature sensitivity, and settling time.

Practice solving DAC problems by calculating step size, full-scale voltage, and percentage resolution for eight- and six-bit DACs, including binary and BCD cases.

Explore how a binary weighted eight-bit DAC uses R and R networks to determine the LSB and Vout, then adapt for a two-decade BCD DAC using Thevenin equivalents and weight calculations.

Analyze a bipolar digital-to-analog converter circuit with sign magnitude and ones complement representations; derive Vout from D0, D1, D2 and D2 bar, and compare polar and unipolar DAC behavior.

Explore the basic architecture of an analog-to-digital converter, using comparators and control circuitry to convert analog input into a digital output, and review types like flash, SAR, and delta-sigma.

Demonstrate how a counter-type digital ramp ADC uses a comparator, DAC, and latch to generate a digital output, with end of conversion signaling and quantization error considered.

Explore counter-type ADCs by calculating maximum conversion time and rate from 2^n-1 t_clock with a 1 MHz clock, and determine DAC thresholds and binary-to-BCD display.

Compare tracking type ADC and counter type ADC, highlighting four bit up down counters, comparators, DAC, and a control circuit that tracks input voltage and latches output.

Explore flash type converters, also called simultaneous or parallel type, using resistor ladders and comparators with a priority encoder for fastest one-clock conversion.

Explore the successive approximation type ADC (SAR ADC), where a control circuit iteratively sets bits from the MSB using a DAC and comparator output, delivering conversion in n clock cycles.

Learn how an eight-bit SAR ADC converts a 2.17 V input with 20 millivolts resolution in eight cycles using a binary search across Q7–Q0 and a DAC reference voltage.

Discover how the dual slope integrating type adc uses a simple integrating circuit with an op amp and capacitor to perform precise, cheap conversions for digital multimeters.

Learn how a dual slope integrating type ADC converts a VA input into a digital output by charging during t1 and discharging with minus VR during t2.

Demonstrates a 2D dual slope ADC in a digital voltmeter, with integration time, reference value, timing calculations, and how to derive conversion rate and integrator resistance from clock and counts.

Explains how delta-sigma adc oversamples an analog input to generate a one-bit output, uses a digital filter and decimator to produce a 24-bit digital output while reducing high-frequency noise.

Survey adc types and conversion time concepts, focusing on counter type and tracking, max conversion time 2^n minus one, and the role of sampling and hold circuits.

Sample and hold circuit captures and retains the input voltage at each ADC conversion using an nMOS switch and a capacitor.

Explore adc specifications, including conversion time, quantization error, and input range, and relate data sheets to adc performance, vref, resolution, and DAC interactions.

Compare the maximum conversion times of eight-bit digital ramp, SAR, and flash ADCs at 100 kHz, and examine related DAC concepts and full-scale calculations.

Explore adc/dac concepts in digital electronics through practical calculations of average conversion time, step size, resolution, and dynamic range for binary and BCD converters, including temperature sensitivity and creeping counters.

Explore digital-to-analog converters (DACs) from early to advanced, examining R-2R ladder and current-steering DACs, double buffering, parallel input options, references, and key specs like linearity and settling time.

Explore ADC architectures from eight-bit SAR converters to twelve-bit delta-sigma and pipelined designs, including multiplexers, reference voltage selection, and key performance traits.

Examine how a satellite communication payload uses high-speed adc and dac, beamformers, and fpga processing to convert rf signals to digital and back, with precision adc/dac and control systems.

Introduce logic families and how gates are built from semiconductor devices, enabling nand and nor as universal gates; compare discrete circuits and ics, and trace mosfet-based design evolution.

Explore how an npn transistor acts as a switch, moving from cutoff to active to saturation as Vin exceeds Vbe, inverting Vout across RC; compare with pnp behavior.

Explore JFET and MOSFET as switching devices, focusing on NFET/NMOS and PFET/PMOS behavior, enhancement and depletion types, and how logic high and logic low invert in inverter circuits.

Explore diode transistor logic (DTL) by building a NAND gate from diodes and transistors, then adding an inverter to form a 9-gate circuit, highlighting threshold, drops, and fan-out.

Analyze a 5-volt NAND gate built with diode transistor logic, and compute power dissipation from ICC using ICCH and ICCL, accounting for 0.7 V and 0.2 V drops.

Explore the TTL totem pole output, a variant of the TTL NAND gate, and how transistors and a diode enable fast charging and discharging of a capacitive load.

Compare TTL families across 74 variants like 74L, 74S, 74LS, 74AS, 74ALS, and 74F, highlighting propagation delay, power dissipation, fan-out, noise margin, and the shift toward CMOS and ECL.

Explore NMOS inverter with a resistive load acting as a universal gate, and note how resistor-based loads require large chip area.

Analyze PMOS inverter with a resistive load, showing how Vin and Vout switch the device between linear, saturation, and cut-off regions and shape the transfer characteristics.

Explore the PMOS depletion-load inverter, achieving full swing and sharp transitions, and understand how driver and load transistors move through saturation and linear regions.

Explore PMOS as a switch in simulation, analyzing input and output characteristics, threshold voltage effects, and inverter behavior with a depletion-type PMOS load.

Explains pass transistor logic with NMOS and PMOS to implement NAND, NOR, and inverter, and compares weak pull-up/pull-down behavior to CMOS inverter and transmission gate.

Improve BiCMOS inverter switching by discharging base charges with MOS transistors, achieving full swing, using bleeder resistors and CMOS NAND and NOR configurations with attention to static power.

Design sequential circuits using the logic family by building clocked flip-flops such as the sr flip-flop and d flip-flop with NMOS and PMOS.