Design a combinational circuit that generates 9’s complement of a BCD number.

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Decimal BCD 9’s Complement
A B C D W X Y Z
0 0 0 0 0 1 0 0 1
1 0 0 0 1 1 0 0 0
2 0 0 1 0 0 1 1 1
3 0 0 1 1 0 1 1 0
4 0 1 0 0 0 1 0 1
5 0 1 0 1 0 1 0 0
6 0 1 1 0 0 0 1 1
7 0 1 1 1 0 0 1 0
8 1 0 0 0 0 0 0 1
9 1 0 0 1 0 0 0 0

The don’t care conditions are

d(A, B, B, D) = Σ(10, 11, 12, 13, 14, 15)

K-map for W

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F =A’B’C’

K-map for X

 

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F = B’C + BC’

K-map for Y

 

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F = C

K-map for Z

 

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F = D’

The logic circuit according to k-map is

User Loaded Image | CSIT Guide

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