Question

The truth table of the priority encoder has been given below: Inputs Outputs D3 D2 D1 DO A1 A0 V 0 0 0 0 X X 0 0 0 0 1 0 0 1 0 0 1 X 0 1 1 0 1 X X 1 0 1 1 X X X 1 1 1 a.) Write down the Boolean functions for outputs A1, A0 and V by K-map (show the steps in details). b.) Draw the circuit diagram for this encoder by using simple logic gates (2-input 'and', 2-input 'or', and 'not' gates). c.) Can you reduce the number of used logic gates by gate sharing? Give the number of used logic gates and draw the corresponding circuit.

          The truth table of the priority encoder has been given below:
Inputs
Outputs
D3
D2
D1
DO
A1
A0
V
0
0
0
0
X
X
0
0
0
0
1
0
0
1
0
0
1
X
0
1
1
0
1
X
X
1
0
1
1
X
X
X
1
1
1
a.)
Write down the Boolean functions for outputs A1, A0 and V by K-map (show the steps in
details).
b.)
Draw the circuit diagram for this encoder by using simple logic gates (2-input 'and', 2-input
'or', and 'not' gates).
c.)
Can you reduce the number of used logic gates by gate sharing? Give the number of used
logic gates and draw the corresponding circuit.

Show more…

The truth table of the priority encoder has been given below:
Inputs
Outputs
D3
D2
D1
DO
A1
A0
V
0
0
0
0
X
X
0
0
0
0
1
0
0
1
0
0
1
X
0
1
1
0
1
X
X
1
0
1
1
X
X
X
1
1
1
a.)
Write down the Boolean functions for outputs A1, A0 and V by K-map (show the steps in
details).
b.)
Draw the circuit diagram for this encoder by using simple logic gates (2-input 'and', 2-input
'or', and 'not' gates).
c.)
Can you reduce the number of used logic gates by gate sharing? Give the number of used
logic gates and draw the corresponding circuit.

Added by Cory A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hafiz Shahzaib

Step 1

The K-maps for each output are shown below: K-map for AL: AI\DI 00 01 11 10 --------------------- 0 | 0 0 1 1 1 | 0 1 0 0 From the K-map, we can see that the Boolean function for AL is: AL = AI' DI' K-map for AO: AI\DI 00 01 11 Show more…

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Thanks for your feedback!

The truth table of the priority encoder has been given below: Inputs Outputs DI LO AI AO X * X | * X *| * 1 1.) Write down the Boolean functions for outputs AL, AO, and V by K-map (show the steps in detail). b) Draw the circuit diagram for this encoder by using simple logic gates (input *and: 2-input OR and NOT gates). c) Can you reduce the number of used logic gates by gate sharing? Give the number of used logic gates and draw the corresponding circuit.

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