AR20-DLD

UNIT–I: Digital Systems and Binary Numbers

Digital Systems, Binary Numbers, Number based Conversions, Octal & Hexadecimal Numbers, Complements – r’s complement, (r-1)’s complement, Signed binary Numbers, Arithmetic addition and subtraction, Binary Codes, Binary Storage & Registers, Floating Point Representation.

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UNIT–II: Concept of Boolean algebra and Gate Level Minimization

Basic Definitions, Axiomatic Definitions, Basic Theorems &Properties of Boolean algebra, Boolean Functions, Canonical and Standard Forms, Digital logic gates, The Map Method – Two-Variable, Three-Variable, Four-Variable K-Maps. Product of Sums Simplification, Sum of Products Simplification, Don’t Care Conditions, NAND and NOR Implementation, Exclusive‐OR Function

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UNIT–III: Combinational Logic

Introduction, Analysis Procedure, Design Procedure – Code Converters, Binary Adder–Subtractor, Decimal Adder, Binary Multiplier, Magnitude Comparator, Decoders, Encoders, Multiplexers, Boolean Function Implementation using Decoders and Multiplexers, Programmable Logic Devices: Read only Memory, Programmable Logic Array, Programmable Array Logic.

UNIT–IV: Sequential Logic

Introduction to Sequential Circuits, Latches, Flip‐Flops, Analysis of Clocked Sequential Circuits, Mealy and Moore Models of Finite State Machines, Synthesis of Sequential Circuits, State reduction and State Assignment, Design Procedure.

UNIT–V: Registers and Counters

Registers, Shift Registers, Universal Shift register, Ripple Counters – Binary Ripple counter, BCD ripple counter, Synchronous Counters – Binary counter, Up-down Counter, BCD counter. Counters with unused states, Ring Counter, Johnson Counter

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