Question

Write the minterms in canonical form for the Boolean Function X (A, B), from the truth table given below:

A	B	X
0	0	1
0	1	0
1	0	0
1	1	1

Answer 1

Minterms correspond to the rows where X = 1. In this case, minterms appear in row 1 and row 4.

• Row 1: (A = 0, B = 0) → Minterm: A′B′
• Row 4: (A = 1, B = 1) → Minterm: AB

Therefore, the sum of products (SOP) expression is:

X(A, B) = A′B′ + AB.