Question

The input required for the output of X nand Y

to equal zero (false) is...
a. Not when (X = 0, Y = 1) or (X = 0, Y = 0) or
(X = 1, Y = 0).
b. X = 1, Y = 0.
c. X = 0, Y = 0.
d. When (X = 0, Y = 1) and (X = 0, Y = 0) and
(X = 1, Y = 0).
e. X = 0, Y = 1.

Answer 1

Step-by-step explanation:

The input required for the output of X nand Y to equal zero (false) is option b. X = 1, Y = 0.

In a NAND operation, the output is true (1) unless both inputs are true (1). In this case, we want the output to be false (0). To achieve this, one of the inputs must be true (1) and the other must be false (0). Option b satisfies this condition with X = 1 and Y = 0.

To prove that the input X = 1 and Y = 0 results in the output of X NAND Y equaling zero (false), we can evaluate the NAND operation with these inputs.

The NAND operation is defined as follows:

X NAND Y = NOT (X AND Y)

In this case, X = 1 and Y = 0. Substituting these values into the NAND operation:

X NAND Y = NOT (1 AND 0)

To evaluate the AND operation:

1 AND 0 = 0

Taking the negation of the result:

NOT (0) = 1

Therefore, the output of X NAND Y is 1.

Since the question asks for the input that results in the output of zero (false), we can conclude that the input X = 1 and Y = 0 does not satisfy this condition. Hence, the correct answer is not option b.