Answered: wide and has a bias of 15, and the…

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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IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the fraction is 10 bits long. A hidden 1 is assumed as part of the significand just like the IEEE-754 format we learnt in the class. Write down the bit pattern to represent −0.15625 × 100 in IEEE 754-2008 half-precision format. You need to find out the bits for the sign, the exponent, and the fraction. To answer this question, you need to convert the decimal fraction to its binary representation. Check out the link given in Q1. You have to show all steps including the fraction conversion (from decimal to binary).

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