Do problem 2 only Problem Set Chapter 01.05 Floating Point Representation A hypo

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Do problem 2 only

Problem Set Chapter 01.05 Floating Point Representation A hypothetical computer stores real numbers in floating point format in 8-bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next two bits for the magnitude of the exponent, and the next four bits for the magnitude of the mantissa. Represent 3.1415 in the 8-bit format. 2. A hypothetical computer stores real numbers in floating point format in 8-bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next two bits for the magnitude of the exponent, and the next four bits for the magnitude of the mantissa. What number does 1010111 represent in the above given 8-bit format? A hypothetical computer stores real numbers in floating point format in 10-bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next three bits for the magnitude of the exponent, and the next five bits for the magnitude of the mantissa. Represent0.0456 in the 10-bit format. 4. A hypothetical computer stores real numbers in floating point format in 10-bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next three bits for the magnitude of the exponent, and the next five bits for the magnitude of the mantissa. What number does 1011010011 represent in the above given 10-bit format?

Explanation / Answer

2. Answering only part two as mentioned in question

first bit is 1 it means number is negative , and exponent is positive, the exponent is 10 , and mantisa is 1111 , since its negative taking 2's complement = 1's complement+1 = 0000+1=1 , so mantisa is -.0001 , and exponent is 2 , number is -1.0001*2^2 = -100.01 = -4.25.

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