Question

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 1

There is no overflow or underflow since both 185 and 122 are within the representable range of signed 8-bit integers (-127 to 127).

How to solve

In signed 8-bit sign-magnitude format, the range is -127 to 127.

To calculate 185 - 122:

Convert 185 and 122 to binary:

185 (in binary) = 10111001

122 (in binary) = 01111010 (since 122 is positive)

Perform subtraction (185 - 122):

10111001 (185)

01111010 (122)

01011111 (Result = 95 in decimal)

There is no overflow or underflow since both 185 and 122 are within the representable range of signed 8-bit integers (-127 to 127). The result, 95, falls within this range, indicating neither overflow nor underflow in this operation.