Question 45

Modulus is helpful in determining if an integer is a multiple of another integer.

The modulus operation provides the remainder of the division of one integer by another, which is essential for identifying multiples. If the result of the modulus operation is zero, it indicates that the first integer is a multiple of the second.

A) Bitwise AND

The bitwise AND operation compares the bits of two integers and returns a new integer that has bits set to 1 where both operands have bits set to 1. This operation does not provide any information about divisibility or multiples and is therefore not helpful for this purpose.

B) Bit flipping

Bit flipping involves changing bits from 0 to 1 and from 1 to 0 in an integer. This operation alters the integer's value but does not relate to determining if one integer is a multiple of another, making it irrelevant to the question.

C) Modulus

The modulus operation is specifically designed to determine the remainder of a division operation. When checking if an integer \( A \) is a multiple of another integer \( B \), calculating \( A \mod B \) will yield zero if \( A \) is indeed a multiple of \( B \). This makes it the correct choice for the given question.

D) Addition

Addition combines two integers to produce a sum but does not provide any insight into their divisibility or multiples. Thus, this operation cannot be used to determine if one integer is a multiple of another.

Conclusion

The modulus operation is the only method among the options provided that effectively determines if one integer is a multiple of another. While bitwise AND, bit flipping, and addition are useful in different contexts, they do not serve the purpose of assessing divisibility, which is crucial for identifying multiples. Therefore, option C stands out as the definitive correct answer.