The fixed point representation of the state of the cpu register is a binary number
The positive real number of the state of the cpu register is 17.53125
The state of the cpu register is given as:
State = 10001.10001 in binary
To convert the number to a positive real number, we make use of the following product rule
State = 1 * 2^4 + 0 * 2^3 + 0 * 2^2 + 0 * 2^1 + 1 * 2^0 + 1 * 2^-1 + 0 * 2^-2 + 0 * 2^-3 + 0 * 2^-4 + 1 * 2^-5
Evaluate the products
State = 16 + 0 + 0 + 0 + 1 + 0.5 + 0 + 0+ 0 + 0.03125
Evaluate the sum
State = 17.53125
Hence, the positive real number of the state of the cpu register is 17.53125
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