
Delve into the definition and scope of logical algebra, including boolean algebra and algebraic logic, with binary variables and true/false values.
Examine two-valued binary logic in digital electronics, showing how 0 and 1 map to voltages such as 2.5 V, 3.3 V, and 0.9 V in TTL and seamless technology.
Explore binary arithmetic, including addition and subtraction, with sign representation via the most significant bit and techniques to derive multiplication and division from left or right shifts.
Learn to express logical functions using truth tables and canonical forms, derive compact forms through boolean algebra rules, and simplify functions from their truth tables.
Define encoders and decoders, explain how encoders convert input bits to output codes, and show how decoders perform the inverse, then illustrate deriving truth tables and implementing with logic gates.
Explore sequential logic and flip-flops as one-bit memory elements with Q and not Q outputs; cover RS, JK, and T flip-flops, clock signals, preset and clear, and asynchronous operation.
Digital circuits, both combinatorial and sequential, as well as Boolean algebraic number systems, are introduced in this course. It provides a perspective of the logic function design, going from the issue through the truth table. The combination of inputs is then what determines how to obtain a function. It allows students to create a circuit using gates that have been reorganized into packages. Students can construct various digital circuits, including encoders, transcoders, multiplexers, counters, registers, and memories, by using the knowledge from this course. By transforming the problems into lookup tables and setting the input parameters and output parameters, it is possible to synthesize numerous decision-making processes. This course represents a sound basis for students in the case of vast integrated circuits because it provides the necessary tools to perform any numerical circuit.
The essential points covered in this course are given as follows :
Binary Arithmetic
Binary, decimal, and hexadecimal systems
Change between bases
The types of codes
Binary arithmetic (addition, subtraction)
The basic rules of digital logic gates
The Logic functions
The truth and Karnaugh tables simplify logic functions.
Principle of Encoders and decoders
Transcoders (binary-Aiken, binary-Gray)
The Seven-segment displays
Multiplexer and demultiplexer system
Studying the different types of flip-flops
Synchronous and asynchronous counters
Shift registers.
Memories