Question

(4 pts) Design a circuit that realizes the following three functions using ONLY ONE 1-hot decoder...

(4 pts) Design a circuit that realizes the following three functions using ONLY ONE 1-hot decoder and any additional gates.

?1 (?,?,?) = ∑?(1,3,7)

? 2(?,?,?) = ∑?(2,3,5)   

?3 (?,?,?) = ∑?(0,1,5,7)

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Answer #1

According to the question, the inputs are A, B, C and let the output bits are D0, D1, D2, D3, D4, D5, D6, D7, the truth table for 1-hot decoder are as follows:-

A B C D0 D1 D2 D3 D4 D5 D6 D7
0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0
0 1 0 0 0 1 0 0 0 0 0
0 1 1 0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 1 0 0 0
1 0 1 0 0 0 0 0 1 0 0
1 1 0 0 0 0 0 0 0 1 0
1 1 1 0 0 0 0 0 0 0 1

Now the implementation of the given boolean function, using 1-hot decoder and 1 additional logical gate are as follows:-

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