Exploring the Difference Between 194 and 112 in Signed 8-bit Decimal Integers
What is the difference between 194 and 112 in signed 8-bit decimal integers stored in sign-magnitude format?
Calculate the difference between 194 and 112. Is there overflow, underflow, or neither?
Answer:
The difference between 194 and 112 is 82. There is neither overflow nor underflow.
When calculating the difference between 194 and 112 in signed 8-bit decimal integers stored in sign-magnitude format, we need to consider the sign of the numbers as well as their magnitudes.
To find the difference, we subtract the magnitude of 112 from the magnitude of 194. Given that both numbers are positive, we can simply subtract the magnitudes:
194 - 112 = 82
The result is 82, which represents the difference between 194 and 112. Now, let's determine if there is overflow or underflow.
Since both 194 and 112 fall within the range of an 8-bit signed integer (-128 to 127), there is neither overflow (when the result is too large to be represented in the given number of bits) nor underflow (when the result is too small to be represented).
Therefore, the difference of 82 between 194 and 112 does not experience overflow or underflow in signed 8-bit decimal integers stored in sign-magnitude format.