In this scheme, how many different numbers are representable and What is the largest number represented in this system? (Give your answer as a fraction in its lowest form.).,Finally What number represents 7/10 in this system? Consider a toy system in which each floating-point number ï is represented byX = : (−1)³ × m × 2²-0where 1 bit is assigned to s, 3 bits to m, 1 bit to e, and o = 2. Thus s represents thesign of x, and m = 1.mom1m2 in base 2, where each mi is 0 or 1, and e = : 0 or 1.

In the given toy system for representing floating-point numbers, each number x is characterized by…

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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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In this scheme, how many different numbers are representable and What is the largest number represented in this system? (Give your answer as a fraction in its lowest form.).,Finally What number represents 7/10 in this system?

Consider a toy system in which each floating-point number ï is represented by
X = : (−1)³ × m × 2²-0
where 1 bit is assigned to s, 3 bits to m, 1 bit to e, and o = 2. Thus s represents the
sign of x, and m = 1.mom1m2 in base 2, where each mi is 0 or 1, and e = : 0 or 1.

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