Combinational Circuits

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Logic circuits for digital systems may be

 Combinational Circuits

 Sequential Circuits

 Consists of logic gates whose outputs at any time are determined by combining the values of the applied inputs using logical operations.

n inputs

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Combinational

Circuit

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m outputs

Decoders

Encoders

Counters

Half Adder

Full Adder

 Combinational circuit with a number of output lines, only one of which is asserted at any time , dependent on the pattern of input lines.

 n inputs and 2 n outputs.

 1 2 1 = 2

 2 2 2 = 4

 3 2 3 = 8

Converts binary information from the n coded inputs to a maximum of 2 n unique outputs.

 Larger decoders from small decoders with enable inputs.

 3-8 line decoder from 2-4 line decoders

 6-64 line decoder from 4-16 line decoders

3-to-8-line decoder constructed from two 2to-4-line decoders

The MSB is connected to the enable inputs if A

2

=0, upper is enabled; if A

2

=1, lower is enabled.

 Combinational logic circuit which performs reverse of decoder functions.

 Accepts an active level on one of its inputs and converts to a coded output.

 The process of converting familiar symbols or numbers to a coded format is called encoding.

Priority Function.

Highest priority takes precedence.

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