Combinational logic
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Combinational Logic. Outline. 4.1 Introduction 4.2 Combinational Circuits 4.3 Analysis Procedure 4.4 Design Procedure 4.5 Binary Adder- Subtractor 4.6 Decimal Adder 4.7 Binary Multiplier 4.9 Decoders 4.10 Encoder 4.11 Multiplexers. Introduction. Combinational Circuits.

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Combinational Logic

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Combinational logic

Combinational Logic


Outline

Outline

  • 4.1 Introduction

  • 4.2 Combinational Circuits

  • 4.3 Analysis Procedure

  • 4.4 Design Procedure

  • 4.5 Binary Adder- Subtractor

  • 4.6 Decimal Adder

  • 4.7 Binary Multiplier

  • 4.9 Decoders

  • 4.10 Encoder

  • 4.11 Multiplexers


Introduction

Introduction


Combinational circuits

Combinational Circuits


Analysis procedure

Analysis Procedure


Analysis procedure example

Analysis Procedure Example


Analysis procedure example1

Analysis Procedure Example


Truth table

Truth Table


Design procedure

Design Procedure


Combinational logic

Design Method and Constraint


Bcd to excess 3 code conversion

BCD To Excess-3 Code Conversion


Bcd to excess 3 code conversion1

BCD To Excess-3 Code Conversion


Bcd to excess 3 code conversion2

BCD To Excess-3 Code Conversion


Logic diagram for bcd to excess 3 converter

Logic diagram for BCD-to-excess-3 Converter


1 bit half adder

1-Bit Half Adder


Implementation of half adder

Implementation of Half Adder


1 bit full adder

1- Bit Full Adder


Implementation of full adder in sum of products form

Implementation of full adder in sum-of-products form


Implementation of full adder with two half adders and an or gate

Implementation of Full Adder With Two Half Adders and an OR gate


4 bit full adder

4- Bit Full Adder


Carry lookahead adder 1 7

Carry Lookahead Adder (1/7)


Carry lookahead adder 2 7

Carry Lookahead Adder (2/7)


Combinational logic

Carry Lookahead Adder (3/7)


Carry lookahead adder 4 7

Carry Lookahead Adder (4/7)


Carry lookahead adder 5 7

Carry Lookahead Adder (5/7)


4 bit adder subtractor

4-Bit Adder/Subtractor


Overflow discussion

Overflow Discussion


Bcd adder

BCD Adder


Truth table of bcd adder

Truth Table of BCD Adder


Logic diagram of bcd adder

Logic Diagram of BCD Adder


Binary multiplier

Binary Multiplier


Bit by 3 bit binary multiplier

Bit by 3-Bit Binary Multiplier


Decoder

Decoder


Three to eight line decoder

Three-to-Eight Line Decoder


Demultiplexer

Demultiplexer


Combinational logic

Decoder Examples

  • 3-to-8-Line Decoder: example: Binary-to-octal conversion.

D0 = m0 = A2’A1’A0’

D1= m1 = A2’A1’A0

…etc


Implementation

Implementation


Encoder

Encoder

z

=

D

+

D

+

D

+

D

1357

The encoder can be implemented

y

=

D

+

D

+

D

+

D

2367

with three OR gates.

x

=

D

+

D

+

D

+

D

4567


Encoder1

Encoder


Priority encoder

Priority Encoder


Priority encoder1

Priority Encoder


Priority encoder2

Priority Encoder


4 11 multiplexers

4-11 Multiplexers


4 to 1 line multiplexer

4-to-1-line multiplexer


Quadruple two to one line multiplexer

Quadruple two-to-one-line multiplexer


Boolean function implementation

Boolean function implementation


Three state gate

Three-State Gate


Four to one line multiplexer

Four-to-One-Line Multiplexer


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