Respuesta :
Using numeric representations in computers, it is found that the smallest number for which an overflow errors occurs is 16, option c.
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- In an unsigned n-bit arithmetic in a computer, the numbers represented are in the following range: From 0 to [tex]2^{n} - 1[/tex].
- If a value is greater than [tex]2^{n} - 1[/tex], an overflow error occurs, as there are not enough bits to represent the number.
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- In this question, the computer uses 4 bits, thus [tex]n = 4[/tex].
- The largest number that is represented without causing overflow is [tex]2^n-1 = 2^4 - 1 = 16 - 1 = 15[/tex]
- Thus, the smallest number which causes overflow is 16, option c.
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