High School

Assume 185 and 122 are signed 8-bit decimal integers stored in sign-magnitude format. Calculate 185 + 122. Is there overflow, underflow, or neither?

Answer :

Final answer:

The sum of 185 and 122 in sign-magnitude format is 307, which results in an overflow.

Explanation:

To calculate the sum of two numbers in sign-magnitude format, we treat the signed integers as regular decimal numbers and then apply the sign at the end. So, following this approach, we add 185 and 122 like regular decimal numbers:

  1. 185 + 122 = 307

Since the result 307 is a 9-bit number, which is greater than the maximum value that can be represented by an 8-bit signed integer (127), there is an overflow.

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