Chapter 4 -- Modular Combinational Logic

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Table of Contents

Chapter 4 -- Modular Combinational Logic

Decoders

Decoder Realization

More complex decoders

Example 4.1 -- Realize f(Q,X,P) = ?m(0,1,4,6,7) = ?M(2,3,5)

Example 4.1 (concluded)

SN 74138 Decoder Module

Four-to-one multiplexer design

Use a 74151A multiplexer to Realize f(x1,x2,x3) = ?m(0,2,3,5)

Half Adders

Full Adders

Ripple Carry Adder

Addition Time for a Basic Ripple-Carry Adder

SN7482 Two-Bit Pseudo Parallel Adder Module

SN7482 Pseudo Parallel Adder -- Truth Table

SN7482 Pseudo Parallel Adder -- Logic Diagram

SN7482 Two-Bit Adder -- Logic Equations

Add Time for SN7482 Adder Circuits

SN7483 Four-Bit Adder Module

SN7483 Four-Bit Adder Module -- Logic Diagram

SN7483 Four-Bit Adder -- Logic Equations

Add Times for SN7483 Adder Circuits

Fully Parallel Three-Bit Adder

Add Time for a Fully Parallel Adder

Carry Look-Ahead Adders -- Basic Idea

Carry Look-Ahead Adders -- Three-Bit Example

Carry Look-Ahead Adder Design

Add Times for Carry Look-Ahead Adders

Binary Subtraction Circuits

Two’s Complement Adder/Subtracter

Arithmetic Overflow Detection

Overflow Detection Circuits

Author: Bill D. Carroll