Question
Your computer uses 4 bits to represent decimal numbers (0, 1, 2, 3 and so on) in binary. What is the SMALLEST number for which an overflow error occur?
A. 14
B. 15
C. 16
D. 17
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the smallest number for which an overflow error occurs using 4 bits in binary representation, we first need to know the maximum value that can be represented with 4 bits:
In binary, 4 bits can represent values from \(0000_2\) (which is 0 in decimal) to \(1111_2\) (which is 15 in decimal). Thus, the range of values is from 0 to 15.
An overflow error occurs when a number exceeds the maximum representable value. Since the highest number that can be represented with 4 bits is 15, the smallest number that causes an overflow is 16.
Therefore, the answer is:
C. 16
In binary, 4 bits can represent values from \(0000_2\) (which is 0 in decimal) to \(1111_2\) (which is 15 in decimal). Thus, the range of values is from 0 to 15.
An overflow error occurs when a number exceeds the maximum representable value. Since the highest number that can be represented with 4 bits is 15, the smallest number that causes an overflow is 16.
Therefore, the answer is:
C. 16
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.