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

Answer :

Final answer:

The difference between the 8-bit decimal integers 185 and 122, when represented in sign-magnitude format, is 63. This difference does not exceed the maximum (+127) or less than the minimum (-127) representable values, so there is neither overflow nor underflow.

Explanation:

The subject of this question is an application of Computers and Technology, more specially, computer arithmetic in binary numbers. Our task is to calculate the difference between two 8-bit decimal integers, namely 185 and 122, that are stored in sign-magnitude format.

The difference between 185 and 122 is 63. However, in an 8-bit decimal integer stored in sign-magnitude, the range of values that can be represented are from -127 to +127. Therefore, since 63 in within this range, we can conclude that there is neither overflow nor underflow.

It's important to keep in mind that overflow and underflow conditions would only occur when the result of a calculation exceeds the maximum (overflow) or is less than the minimum (underflow) value that can be represented by the specific binary number format (in this case, 8-bit sign magnitude).

Learn more about 8-bit Integer Sign-Magnitude Representation here:

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