Consider a quaternary, normalized floating-point number system that is base 4 with chop-ping. Analogous to a bit, a quaternary digit is a quit. Assume that a hypothetical quaternarycomputer uses the following floating-point representation:SmSee2929394is the sign of the mantissa and se is the sign of the exponent (0 for positive, 1for negative), q1, 92, 93 and q4 are the quits of the mantissa, and e1, e2 are the quits of theexponent, an integer, and each quit is 0,1, 2 or 3. Show all your work for all parts.where Sm(a) What is the computer representation of –7.187510 in this system?(b) What decimal value does 00101321 represent in this system?(c) What is the maximum negative (non-zero) number that can be represented in thissystem? Give its value in decimal.(d) Let p be a real number in the interval (6410, 25610). If we need to represent p inthis quaternary floating-point system with some p*, what is the upper bound on theabsolute error of this representation? Your answer should be in decimal.

Consider a quaternary, normalized floating-point number system that is base 4 with chop- ping. Analogous to a bit, a quaternary digit is a quit. Assume that a hypothetical quaternary computer uses the following floating-point representation: Sm Se ei e2 92 93 94 where sm is the sign of the mantissa and se is the sign of the exponent (0 for positive, 1 for negative), q1, 42, q3 and q4 are the quits of the mantissa, and e1, e2 are the quits of the exponent, an integer, and each quit is 0,1, 2 or 3. Show all your work for all parts. (a) What is the computer representation of –7.187510 in this system?

Consider a quaternary, normalized floating-point number system that is base 4 with chop- ping. Analogous to a bit, a quaternary digit is a quit. Assume that a hypothetical quaternary computer uses the following floating-point representation: Sm Se ei e2 92 93 94 where sm is the sign of the mantissa and se is the sign of the exponent (0 for positive, 1 for negative), q1, 42, q3 and q4 are the quits of the mantissa, and e1, e2 are the quits of the exponent, an integer, and each quit is 0,1, 2 or 3. Show all your work for all parts. (a) What is the computer representation of –7.187510 in this system?

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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