Question

In: Electrical Engineering

Create a PLA, that implements the following functions: F1 = ∑(0, 3, 5, 9) F2 =...

Create a PLA, that implements the following functions: F1 = ∑(0, 3, 5, 9) F2 = ∑(1, 4, 8, 12) F3 = ∑(1, 5, 15) F4 = ∑(2, 5, 9, 13, 14)

Solutions

Expert Solution

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Given Functions are:

F1 = ∑(0, 3, 5, 9)

F2 = ∑(1, 4, 8, 12)

F3 = ∑(1, 5, 15)

F4 = ∑(2, 5, 9, 13, 14)

A PLA is a Programmable Logic Array which has programmble AND gates and Programmable OR gates.

Step1:

Reduction of the given functions using Kmap

for F1,we get

For F2,we get

For F3,we get

For F4,we get

Step2:

Implementation using a PLA

Total number of input buffers are 4,because we have four varibles,

Total number of AND gates are equal to minterms i.e. 13.

Total number of OR gates equal to the total number of functions i.e. 4.


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