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Answer :
The addition of 185 and 122 as signed 8-bit decimal integers in sign-magnitude format results in 51. There is neither overflow nor underflow because the result falls within the range of valid values for signed 8-bit integers.
To determine the result of the addition and whether there is overflow, underflow, or neither, we need to perform the addition of 185 and 122 as signed 8-bit decimal integers in sign-magnitude format.
First, let's convert the decimal numbers to binary representation:
185 in binary: 10111001
122 in binary: 01111010
In sign-magnitude format, the most significant bit (MSB) represents the sign, with 0 indicating a positive number and 1 indicating a negative number.
Now let's perform the addition:
10111001 (185)
01111010 (122)
00110011 (51)
The binary result is 00110011, which is equivalent to 51 in decimal.
To determine if there is overflow or underflow, we need to consider the range of signed 8-bit integers. In sign-magnitude format, the range for an 8-bit signed integer is -127 to 127 (excluding 0).
The result of 51 falls within the range of -127 to 127, so there is neither overflow nor underflow.
The addition of 185 and 122 as signed 8-bit decimal integers in sign-magnitude format results in 51. There is neither overflow nor underflow because the result falls within the range of valid values for signed 8-bit integers.
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