Answer :
Final answer:
The true value of an 8-bit biased (also known as excess-value) representation of (1010)2. Assuming the bias is "C) 903"
Explanation:
To calculate the true value of an 8-bit biased representation with a bias of 127, we need to perform the following steps:
1. Convert the biased representation (1010)2 to its true value:
- The biased representation (1010)2 has four bits.
- To find the true value, we need to subtract the bias (127) from the biased representation. In this case, the bias is added to the representation since it's an excess-value representation.
- (1010)2 - 127 = (1010)2 - (01111111)2
2. Perform the subtraction:
- (1010)2 - (01111111)2 = (1010)2 - (127)10
Now, let's calculate the subtraction in decimal:
(1010)2 - (127)10 = 10 (binary) - 127 (decimal)
To find the true value, convert the binary result to decimal:
10 (binary) = 2 (decimal)
Now subtract 127 from 2:
2 - 127 = -125
So, the true value of the biased representation (1010)2 with a bias of 127 is -125 in decimal. Therefore, the correct answer is "option C) 903".
Learn more about excess-value
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