Question

The binary ______ operation checks to see whether there is a one in either or both numbers in a given place. If so, then the resultant number is one. If not, the resultant number is zero. A) XOR

B) AND

C) OR

D) NOT

Answer 1

C.

Step-by-step explanation:

The binary **OR** operation checks to see whether there is a one in either or both numbers in a given place. If so, then the resultant number is one. If not, the resultant number is zero.

So, the correct answer is **C) OR**.

Answer 2

The binary operation that checks for at least one in either or both numbers is the OR operation. It produces a result of one if any of the inputs is one, otherwise, it results in zero.

Step-by-step explanation:

The binary operation described in the question checks to see whether there is a one in either or both numbers in a given place. The correct binary operation for this description is C) OR. In binary logic, the OR operation outputs a one if either of the input bits is one. In contrast, the AND operation only outputs one if both input bits are one, the XOR operation outputs one if the input bits are different, and the NOT operation is a unary operation that inverts the bit.

For example:

• 1 OR 0 = 1
• 0 OR 1 = 1
• 1 OR 1 = 1
• 0 OR 0 = 0

Using sets as an analogy, consider two sets A and B. The set A OR B would contain all outcomes that lie in either set A, set B, or both. If sets A and B are described as having the following elements:

A = {2, 4, 6, 14, 16, 18}

B = {8, 10, 12, 15, 17, 19}

Then A OR B would be: {2, 4, 6, 8, 10, 12, 14, 15, 16, 17, 18, 19}, encompassing all elements of both sets.