Question
You are given a NOR gate with inputs X and Y. The output is Z. Complete
the following expression.
Z=
the following expression.
Z=
Answers
GPT-4o mini
The output \( Z \) of a NOR gate is defined as the negation of the disjunction (OR operation) of its inputs. In other words, the output is true only when both inputs are false.
The expression for the output \( Z \) of a NOR gate with inputs \( X \) and \( Y \) can be written as:
\[
Z = \overline{X + Y}
\]
Here, \( + \) represents the OR operation, and the overline represents the NOT operation. Thus, \( Z \) is true (1) when both \( X \) and \( Y \) are false (0).
The expression for the output \( Z \) of a NOR gate with inputs \( X \) and \( Y \) can be written as:
\[
Z = \overline{X + Y}
\]
Here, \( + \) represents the OR operation, and the overline represents the NOT operation. Thus, \( Z \) is true (1) when both \( X \) and \( Y \) are false (0).