Question

In: Computer Science

1. A hypothetical computer stores 12 bits of information. The first bit is used for the...

1. A hypothetical computer stores 12 bits of information. The first bit is used for the sign of the number; the second bit is used for the sign of the exponent. Four bits are used for the magnitude of the exponent and six bits are used for the magnitude of the mantissa.

a. Represent the number -147.32 in Binary scientific notation

b. How would the number be represented in the computer?

c. Calculate the true error and absolute relative true error

Solutions

Expert Solution

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ANSWER:

A) -147.32 IN BINARY SCIENTIFIC NOTATION = -1.001001101010001×2^7

B) The computer representation of -147.32 = 101000001001

C) True error = -0.00359374999

Absolute error = 0.00359374999

Relative error = 0.00002439417%

Explaination-


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