Question

a computer program uses 4 bits to represent nonnegative integers. which of the following statements describe a possible result when the program uses this number representation? i. the operation will result in an overflow error. ii. the operation will result in an overflow error. iii. the operation will result in an overflow error. responses i only i only ii only ii only ii and iii only ii and iii only i, ii, and iii

Answer 1

In a 4-bit representation, you can represent integers from 0 to 15 (2⁴ - 1). Overflow occurs when the result of an operation exceeds the representable range. Given this, the correct option would be: i. The operation will result in an overflow error.

In a 4-bit representation, the range for nonnegative integers is from 0 to 15 (2⁴ - 1). If the result of an operation falls outside this range, it will lead to an overflow error. Therefore, option i, "The operation will result in an overflow error," is accurate in this context.

Given this, the correct option would be: i. The operation will result in an overflow error.