Convert the 8-bit two's complement number 1111 0000 into denary. - Scottish Highers Computing Science - Question 1 - 2023
Question 1
Convert the 8-bit two's complement number 1111 0000 into denary.
Worked Solution & Example Answer:Convert the 8-bit two's complement number 1111 0000 into denary. - Scottish Highers Computing Science - Question 1 - 2023
Step 1
Step 1: Determine if the number is negative or positive
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Answer
The first bit of the 8-bit two's complement number 1111 0000 is 1, indicating that the number is negative.
Step 2
Step 2: Find the two's complement
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Answer
To find the two's complement, first, invert all bits of the number:
0000 1111
Then, add 1 to this result:
0000 1111 + 1 = 0001 0000
This gives us 16 in decimal.
Step 3
Step 3: Determine the denary value
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Answer
Since the original number was negative, the denary value is then -16.
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