Question

Select the Boolean expression that is equivalent to xy.

a.(x ↓ y) ↑ (x ↓ y)
b.(x ↑ x) ↑ (y ↑ y)
c.(x ↓ y) ↓ (x ↓ y)
d.(x ↑ x) ↓(y ↑ y)

Answer 1

The Boolean expression xy can be represented as x AND y. The correct Boolean expression that is equivalent to xy is (x OR y).

Step-by-step explanation:

The Boolean expression xy can be represented as x AND y. To find the equivalent Boolean expression, we need to look at each option and simplify it using Boolean logic. Option a can be simplified as (x OR y) AND (x OR y), which is equivalent to (x OR y). Option b can be simplified as (x OR x) AND (y OR y), which is equivalent to x AND y. Option c can be simplified as (x OR y) OR (x OR y), which is equivalent to (x OR y). Option d can be simplified as (x OR x) OR (y OR y), which is equivalent to (x OR y). Therefore, the correct Boolean expression that is equivalent to xy is (x OR y), so the answer is option a.