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Consider the following two 9-bit floating-point representations based on the IEEE floating-point format. 1. Format A • There is one sign bit. • There are k = 5 exponent bits. • The exponent bias is 15. • There are n= 3 fraction bits. 2. Format B • There is one sign bit. • There are k = 4 exponent bits. • The exponent bias is 7. • There are n = 4 fraction bits. 1 are, Below, you are given some bit patterns in Format A, and your task is to convert them to the closest value in Format B. If rounding is necessary, you should round toward +o. In addition, give the values of numbers given by the Format A and Format B bit patterns. Give these as whole numbers (e.g., 17) or as fractions (e.g., 17/64 or 17/2°).

Consider the following two 9-bit floating-point representations based on the IEEE floating-point format. 1. Format A • There is one sign bit. • There are k = 5 exponent bits. • The exponent bias is 15. • There are n= 3 fraction bits. 2. Format B • There is one sign bit. • There are k = 4 exponent bits. • The exponent bias is 7. • There are n = 4 fraction bits. 1 are, Below, you are given some bit patterns in Format A, and your task is to convert them to the closest value in Format B. If rounding is necessary, you should round toward +o. In addition, give the values of numbers given by the Format A and Format B bit patterns. Give these as whole numbers (e.g., 17) or as fractions (e.g., 17/64 or 17/2°).

Database System Concepts
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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Working on this practice exam before the real exam next week, and I realized that I don't even understand what the questions are asking. I feel like I paid attention in class, but I don't get it.

Consider the following two 9-bit floating-point representations based on the IEEE floating-point format. 1. Format A • There is one sign bit. There are k = 5 exponent bits. • The exponent bias is 15. • There aren = 3 fraction bits. 2. Format B • There is one sign bit. • There are k = 4 exponent bits. • The exponent bias is 7. • There are n = 4 fraction bits. Below, you are given some bit patterns in Format A, and your task is to convert them to the closest value in Format B. If rounding is necessary, you should round toward +o. In addition, give the values of numbers given by the Format A and Format B bit patterns. Give these as whole numbers (e.g., 17) or as fractions (e.g., 17/64 or 17/2°).
Transcribed Image Text:Consider the following two 9-bit floating-point representations based on the IEEE floating-point format. 1. Format A • There is one sign bit. There are k = 5 exponent bits. • The exponent bias is 15. • There aren = 3 fraction bits. 2. Format B • There is one sign bit. • There are k = 4 exponent bits. • The exponent bias is 7. • There are n = 4 fraction bits. Below, you are given some bit patterns in Format A, and your task is to convert them to the closest value in Format B. If rounding is necessary, you should round toward +o. In addition, give the values of numbers given by the Format A and Format B bit patterns. Give these as whole numbers (e.g., 17) or as fractions (e.g., 17/64 or 17/2°).
Format A Format B Bits Value Bits Value 101111001 -9/8 101110010 -9/8 010110011 176 011100110 176 100111010 -5/1024 1 000000111 111100000 1 010111100
Transcribed Image Text:Format A Format B Bits Value Bits Value 101111001 -9/8 101110010 -9/8 010110011 176 011100110 176 100111010 -5/1024 1 000000111 111100000 1 010111100
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