There are 3 variables in the Boolean function and the value of th
| There are 3 variables in the Boolean function and the value of the function is 0. Find the number of cells in the K-Map which will contain a 0 when SOP expression is used.
A. 8
B. 2
C. 4
D. 0
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
Given a 3-variable Boolean function value ‘0’. If we write the SOP expression.
F(A, B, C) = 0
|
A |
B |
C |
Y |
|
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
|
0 |
1 |
0 |
0 |
|
0 |
1 |
1 |
0 |
|
1 |
0 |
0 |
0 |
|
1 |
0 |
1 |
0 |
|
1 |
1 |
0 |
0 |
|
1 |
1 |
1 |
0 |
When we map the number of 1’s and 0’s of Truth table to the K-map, we draw it as shown:
From the 3-variable K-map, the number of cells which contain a ‘0’ is ‘8’ cells
