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(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2....

(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2. 2-to-4 de

(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2. 2-to-4 decoders with non-inverted outputs and logic gates.
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Answer :

F(A. B. C. D)-〉 (0, 5, 6, 7,11)

The truth table for this:

Truth Table A | B | C | D | Y 0O1 1 O 2O1 3 O01 01 0 1O 10 1 121 1 0 0 0 1311 0 1 0 14 1 15 1 1 1

K-- map of this:

Map AB 1 0 0 0 AB 0 1 1 AB 0 0 0 0 AB 0 0 1 0 Map Layout AB 0 1 3 AB 4 57 6 AB 12 13 15 14 AB 8 9 11 10

Groips (5,7) A.BD (6,7)A.B.C (0) A.B.C.D (11) A.B.C.D y ABD+ ABC ABCD + ABCD

Put S0 = A, And S1 = B

The truth table for S0 and  S1

S0 S1 Y
0 0 D0
0 1 D1
1 0 D3
1 1 D2

Use MUX 4X1 :

D0 = C'.D'

D1 = C + D

D2 = 0 (because no pair form in this k- map)

D3 = C.D

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For any doubt drop a comment.

Thank you!

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