Question

In a Boolean expression \( Y = AB + BA' \), if \( A = 1 \), \( B = 1 \), then find the value of Y.

Hint:

In Boolean algebra, the complement of 1 is 0, and the complement of 0 is 1.

Answer 1

Step 1: Substitute the values of \( A \) and \( B \) into the Boolean expression.
The Boolean expression is: \[ Y = AB + BA' \] Substituting the values \( A = 1 \) and \( B = 1 \): \[ Y = (1 \times 1) + (1 \times 0) = 1 + 0 = 1 \]
Final Answer:
The value of \( Y \) is \( \boxed{1} \).