If the floating-point number representation on a certain system has a sign bit, a 4-bit ponent 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 we have one implied bit i.e., implicit normalization, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) You must draw the complete representation using sign, exponent, and mantissa part in binary to receive full credits. C What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias (you don't need to follow IEEE 754 format for storing positive 0 or negative 0 or positive infinity or negative infinity)?
If the floating-point number representation on a certain system has a sign bit, a 4-bit ponent 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 we have one implied bit i.e., implicit normalization, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) You must draw the complete representation using sign, exponent, and mantissa part in binary to receive full credits. C What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias (you don't need to follow IEEE 754 format for storing positive 0 or negative 0 or positive infinity or negative infinity)?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:If the floating-point number representation on a certain system has a sign bit, a 4-bit
ponent 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 we have one implied bit i.e., implicit
normalization, there is no biasing, exponents use two's complement notation, and
exponents of all zeros and all ones are allowed.) You must draw the complete
representation using sign, exponent, and mantissa part in binary to receive full credits.
What bias should be used in the exponent if we prefer all exponents to be non-negative?
Why would you choose this bias (you don't need to follow IEEE 754 format for storing
positive 0 or negative 0 or positive infinity or negative infinity)?
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