Convert the following 8-bit two's complement number into denary - Scottish Highers Computing Science - Question 1 - 2019
Question 1
Convert the following 8-bit two's complement number into denary.
1001 1010
Worked Solution & Example Answer:Convert the following 8-bit two's complement number into denary - Scottish Highers Computing Science - Question 1 - 2019
Step 1
Step 1: Identify the Sign Bit
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Answer
The first bit (1) indicates that the number is negative in two's complement representation.
Step 2
Step 2: Find the Two's Complement
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Answer
To find the denary value, first, we convert the number into its positive equivalent by inverting the bits and adding 1:
Inverting the bits: 0110 0101
Adding 1: 0110 0101 + 0000 0001 = 0110 0110
This gives us the binary number for 102.
Step 3
Step 3: Apply the Sign
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Answer
Since the original binary number was negative, the denary representation is -102.
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