Digital Logic Design

OBJECTIVE:

- To introduce the basic tools for design with combinational and sequential digital logic and state machines.

- To learn simple digital circuits in preparation for computer engineering.

UNIT- I:

Digital Systems and Binary Numbers; Digital Systems, Binary Numbers, Binary Numbers, Octal and Hexadecimal Numbers, Complements of Numbers, Complements of Numbers, Signed Binary Numbers,Arithmetic addition and subtraction

UNIT -II:

Concept of Boolean algebra: Basic Theorems and Properties of Boolean algebra, Boolean Functions, Canonical and Standard Forms, Minterms and Maxterms,

Unit -III:

Gate level minimization : Map Method, Two-Variable K-Map, Three-Variable K-Map, Four Variable K-Maps. Products of Sum Simplification, Sum of Products Simplification, Don’t – Care Conditions, NAND and NOR Implementation, Exclusive‐OR Function

UNIT- IV:

Combinational Logic: Introduction, Analysis Procedure, Design Procedure, Binary Adder–Subtractor, Decimal Adder, Binary Multiplier, Decoders, Encoders, Multiplexers, HDL Models of Combinational Circuits

Unit- V:

Synchronous sequential logic: Introduction to Sequential Circuits, Storage Elements: Latches, Storage Elements: Flip‐Flops, Analysis of Clocked Sequential Circuits, Mealy and Moore Models of Finite State Machines

Unit-VI:

Registers and counters : Registers, Shift Registers, Ripple Counters, Synchronous Counters, Ring Counter, Johnson Counter, Ripple Counter