If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: • What is the largest positive and the smallest positive number that can be stored on this? system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) • What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias? show work and write out solution

If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: • What is the largest positive and the smallest positive number that can be stored on this? system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) • What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias? show work and write out solution

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 27VE: Data represented in ________ is transmitted accurately between computer equipment from different...

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If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: What is the largest positive and the smallest positive number that can be stored on this system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias?
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