Combinational Logic Circuits & Design in Digital Electronics

Introduction to binary addition of 1-bit and n-bit, applications of adders, advantages of adders and types of adders.

Half adder definition, design procedure of half adder, symbol of half adder, truth table of half adder and K-map simplification of half adder , logic expressions of half adder and logic diagram of half adder.

Full adder definition or 1-bit adder definition, design procedure of full adder, symbol of full adder, truth table of full adder and K-map simplification for sum and carry of full adder, logic expressions of sum & carry, logic diagram of full adder and Implementation of Full Adder using Half Adders.

Design of Ripple Carry Adder,  n-bit adder, n-bit parallel adder, 4-bit Ripple Carry Adder, Delay problem and remedy, advantages and disadvantages of Ripple carry adder.

Introduction to binary subtraction of 1-bit and n-bit, applications of subtractors, advantages of subtractors and types of subtractors.

Half subtractor definition, design procedure of half subtractor, symbol of half subtractor,  truth table of half subtractor and K-map simplification for difference and borrow of half subtractor, logic expressions of difference and borrow and logic diagram of half subtractor.

Full subtractor definition, design procedure of full subtractor, symbol of full subtractor,  truth table of full subtractor and K-map simplification for difference and borrow of full subtractor, logic expressions of difference and borrow, logic diagram of full subtractor Full subtractor using half subtractors.

Design of n-bit subtractor, n-bit parallel subtractor, 4-bit subtractor n-bit Subtraction using Addition and 4-bit Subtractor using Adder, n-bit Adder/Subtractor and design of 4-bit Adder/Subtractor.

Introduction of Encoder, applications of encoder in communication systems, need of encoders, advantages of encoders, Block diagram or Symbol of Encoder and Types of Encoders.

Encoder logic symbol, truth table of encoder, logic diagram of encoder, logic expressions of encoder, logic diagram of encoder, 4:2 Encoder, design of 4:2 Encoder, design of 4:2 Encoder with enable, 8:3 Encoder, design of 8:3 Encoder, design of Decimal to BCD Encoder, Drawbacks of encoder.

4:2 priority Encoder, Design of 4:2 Priority Encoder, logic symbol, truth table of priority encoder, logic diagram of priority encoder, logic expressions of priority encoder, logic diagram of priority encoder.

4:2 priority Encoder, Design of 4:2 Priority Encoder, logic symbol, truth table of priority encoder, logic diagram of priority encoder, logic expressions of priority encoder, logic diagram of priority encoder.

Introduction of Decoder, applications of Decoder in communication systems, need of Decoders, advantages of Decoders, Block diagram or Symbol of Decoder and Types of Decoders.

Decoder logic symbol, truth table of Decoder, logic diagram of Decoder, logic expressions of decoder, logic diagram of decoder, 2:4 Decoder, design of 2:4 Decoder, design of 2:4 Decoder with enable, 3:8 Decoder, design of 3:8 Decoder.

3:8 Decoder using 2:4 Decoders, 4 to 16 Decoder two 3 to 8 Decoders, 4 to 16 Decoder using five 2 x 4 decoders, 4 to 16 Decoder using two 3 to 8 Decoders.

Implementing Boolean Functions using decoders, Implementing Full Adder using decoders and Decoder as a De-Multiplexer

Introduction of multiplexing and need of multiplexing, purpose of multiplexing, introduction of Multiplexer, applications of multiplexer and the basic function of multiplexer, and functional diagram of multiplexer.

Design of 2X1 Multiplexer - logic symbol, Truth table, logic expression and logic diagram, Design of 4X1 Multiplexer - logic symbol, Truth table, logic expression and logic diagram and Design of 8X1 Multiplexer - logic symbol, Truth table, logic expression and logic diagram.

Multiplexer Tree, number of multiplers calculation, design of 4X1 MUX using 2X1 MUX, design of 8X1 MUX using 4X1 MUX and 2X1 MUX, design of 16X1 MUX using 4X1 MUX, design of 16X1 MUX using 8X1 MUX and 4X1 MUX.

Implementation of logic gates using MUX, Implementation of NOT gate, AND gate , OR gate, NAND and NOR gates, Ex-OR and EX-NOR gates, Implementation of Boolean function using MUX, Implementation  of Boolean functions with n- variables, Implementation of Boolean function using 2^n X 1 MUX, 2^(n-1) X 1 MUX, Full Adder Implementation using 8:1 MUX, Implementation of the function F(A, B, C)= Σ (1, 2, 5, 7) using 8 to 1 MUX, Full Adder Implementation using 4:1 MUX, Implementation of f ( A, B, C) = Σ ( 1, 2, 3, 5, 6 ) with don’t care (7) using 4 : 1 MUX, Implementation of F(A,B,C,D) =    (1,3,4,11,12,13,14,15) using 8X1 MUX.

Introduction to DeMUX, Typical Application of a DEMUX, What is a Demultiplexer (DEMUX)?, Functional Diagram of a Demultiplexer

Design of 1 : 2 Demultiplexer, Logic Symbol of Demultiplexer, Truth Table, Logic expression of Demultiplexer, Design of 1 : 4 Demultiplexer, Logic Symbol of 1:4 Demultiplexer, Truth Table of 1:4 DeMUX, Logic expression of 1:4 Demultiplexer, Design of 1 : 8 Demultiplexer, Logic Symbol of 1:8 Demultiplexer, Truth Table of 1:8 DeMUX, Logic expression of 1:8 Demultiplexer,Quiz

Demultiplexer Tree, Design of 1:8 DeMUX using 1: 4 DeMUXs, ØDesign of 1:8 DeMUX using 1: 2 DeMUXs

Implementation of logic expressions Using 1: 8 DeMUX and

Implementation of Full Subtractor Using 1: 8 DeMUX, Assignmnet

Comparison of MUX and DeMUX

Code Converters, Introduction, Applications S

Steps involved in code conversion, Binary to BCD Code Converter, Gray to Binary Code Converter, Binary to Gray Code Converter,  BCD to Excess-3 Code Converter, BCD to 7-Segment Display

Parity Generator & Checker, Introduction, Parity Bit, Types of Parity, Even parity, Odd Parity

Parity Generator, Design, 3-Bit Even Parity Generator, 3-Bit Odd Parity Generator

Parity Check,  4-Bit Even Parity Checker, Design of 4-Bit Even Parity Checker, 4-Bit Odd Parity Checker, Design of 4-Bit Odd Parity Checker

Introduction, Design of 1 bit comparator, Design of 2 bit comparator, Design of 4 bit comparator, Single bit Comparator, Two-Bit Magnitude Comparator, Four-bit Magnitude Comparator