Question

Which gate is an equivalent representation of a 2-input NOR gate?

1) AND gate
2) OR gate
3) NAND gate
4) XOR gate

Answer 1

The equivalent of a 2-input NOR gate is an OR gate followed by a NOT gate, but none of the gate options provided (AND, OR, NAND, XOR) are equivalent to a NOR gate without modification.

Step-by-step explanation:

The equivalent representation of a 2-input NOR gate is a combination of an OR gate followed by a NOT gate. In other words, if the inputs of an OR gate are inverted (using a NOT gate), it functions as a NOR gate. However, when directly comparing to the options provided, none of the other gates (AND, OR, NAND, XOR) are equivalent to a 2-input NOR gate on their own without modification.

A NOR gate's output is true only when both inputs are false. In boolean logic, the NOR gate is represented as (A + B)', with '+' representing OR and the apostrophe (') representing the NOT operation. The equivalent in NAND terms is NAND of inverted inputs, but this requires two inverters in addition to the NAND, which is not a single gate listed in the options.