Question

The Boolean expression Y = (AB)' is logically equivalent to what single gate?
O A. NAND
O B. NOR
O C. AND
O D.OR​

Answer 1

Answer:

AB (as in product i.e AB=A*B)  represent AND gate and NOT of AB will return NOT of AND gate which is equal to NAND gate.

Therefore option A is correct one.

Answer 2

The Boolean expression Y = (AB)' is logically equivalent to NAND gate. Option A is the correct answer.

• Here, if we break the given formula Y = (AB)', we get Y = (A * B)'.
• As we know that the * sign is used to denoted AND gate. Therefore the Boolean operation to be performed inside the bracket is AND operation.
• Now, the ' sign is used to denote the complement of an expression. Hence, The operation is NOT operation.
• Therefore, The NOT operation over the AND operation gives us the NAND operation. Hence, The Boolean expression Y = (AB)' is logically equivalent to NAND gate.