A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows: The first bit is a sign bit (0 for positive, 1 for negative). The middle 3 bits are the exponent, which uses bias of 3. The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754 formats. The format does not reserve any special values. The following arithmetic operation is performed on this system: 00011000 x 11000110 The result is then stored in the same 8-bit floating-point format. What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answers are rounded to 5 decimal places. O a. None of the other answers. O b. 0.03030% O. 0.03125% O d. 0.97865% O e. 0%
A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows: The first bit is a sign bit (0 for positive, 1 for negative). The middle 3 bits are the exponent, which uses bias of 3. The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754 formats. The format does not reserve any special values. The following arithmetic operation is performed on this system: 00011000 x 11000110 The result is then stored in the same 8-bit floating-point format. What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answers are rounded to 5 decimal places. O a. None of the other answers. O b. 0.03030% O. 0.03125% O d. 0.97865% O e. 0%
Computer Networking: A Top-Down Approach (7th Edition)
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A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows:
The first bit is a sign bit (0 for positive, 1 for negative).
The middle 3 bits are the exponent, which uses bias of 3.
The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754
formats.
The format does not reserve any special values.
The following arithmetic operation is performed on this system:
00011000 x 11000110
The result is then stored in the same 8-bit floating-point format.
What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer
s
are rounded to 5 decimal places.
O a. None of the other answers.
O b. 0.03030%
O c. 0.03125%
O d. 0.97865%
O e. 0%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9144eb4c-4d23-46a3-9716-f3d0a393fd60%2F4536a616-c24b-44fe-a0fb-f3f0ad2f4d4b%2F903yj6i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 11
Not yet answered
P Flag question
A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows:
The first bit is a sign bit (0 for positive, 1 for negative).
The middle 3 bits are the exponent, which uses bias of 3.
The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754
formats.
The format does not reserve any special values.
The following arithmetic operation is performed on this system:
00011000 x 11000110
The result is then stored in the same 8-bit floating-point format.
What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer
s
are rounded to 5 decimal places.
O a. None of the other answers.
O b. 0.03030%
O c. 0.03125%
O d. 0.97865%
O e. 0%
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