Which operation is helpful in determining if an integer is a multiple of another integer?

Rationale

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

The modulus operation calculates the remainder of the division of one integer by another. If the result is zero, it indicates that the first integer is a multiple of the second, making this operation essential for such determinations.

A (Bitwise AND) YOUR ANSWER

The bitwise AND operation compares the binary representations of two integers and returns a new integer where each bit is set to 1 only if both corresponding bits are 1. This operation does not provide information about multiples and is not designed for divisibility checks.

B (Bit flipping) YOUR ANSWER

Bit flipping involves changing the value of a specific bit in a binary number from 0 to 1 or from 1 to 0. While this can manipulate binary representations, it does not relate to identifying whether one integer is a multiple of another, as it does not perform any division or remainder calculation.

C (Modulus) CORRECT

The modulus operation computes the remainder when one integer is divided by another. If the result is zero, it indicates that the first integer is a multiple of the second. This property is fundamental in number theory and is the correct method for determining multiples.

D (Addition) YOUR ANSWER

Addition combines two integers to produce a sum but does not address relationships of divisibility. While one can add multiples together, the operation itself does not reveal whether an integer is a multiple of another.

Conclusion

To determine if an integer is a multiple of another, the modulus operation is utilized effectively. This operation allows for a direct examination of divisibility by revealing whether a remainder exists when dividing two integers. In contrast, the other options—bitwise AND, bit flipping, and addition—do not serve this purpose, as they lack the necessary mechanism to assess integer multiples.

Which operation is helpful in determining if an integer is a multiple of another integer?

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

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