GAEST305 Digital Circuit and Logical Design

Course Objectives:
1. To familiarize the basic concepts of Boolean algebra and digital systems.
2. To enable the learner to design simple combinational and sequential logic circuits which is
essential in understanding organization & design of computer systems.

Syllabus Description :

Module 1 : Introduction to digital Systems :-

Digital abstraction Number Systems – Binary, Hexadecimal, grouping bits, Base conversion; Binary Arithmetic – Addition and subtraction, Unsigned and Signed numbers; Fixed-Point Number Systems; Floating-Point Number Systems Basic gates- Operation of a Logic circuit; Buffer; Gates – Inverter, AND gate, OR gate, NOR gate, NAND gate, XOR gate, XNOR gate; Digital circuit operation – logic levels, output dc specifications, input dc specifications, noise margins, power supplies; Driving loads – driving other gates, resistive loads and LEDs.

Module 2 : Combinational Logic Design: –

Boolean Algebra – Operations, Axioms, Theorems; Combinational logic analysis – Canonical SOP and POS, Minterm and Maxterm equivalence; Logic minimization – Algebraic minimization, K-map minimization, Dont cares, Code convertors.

Module 3 : MSI Logic and Digital Building Blocks

MSI logic – Decoders (One-Hot decoder, 7 segment display decoder), Encoders, Multiplexers, Demultiplexers; Digital Building Blocks – Arithmetic Circuits – Half adder, Full adder, half subtractor, full subtractor; Comparators.

Module 4 : Sequential Logic Design :-

Latches and Flip-Flops- SR latch, SR latch with enable, JK flipflop, D flipflop, Register Enabled Flip-Flop, Resettable Flip- Flop. Sequential logic timing considerations; Common circuits based on sequential storage devices – toggle flop clock divider, asynchronous ripple counter, shift register.

Finite State Machines :-
Finite State Machines – logic synthesis for an FSM, FSM design process and design examples; Synchronous Sequential Circuits – Counters;