3. For each of the following base 10 numbers below, (i) convert the number to binary (show your work) and (ii) find the double precision representation fl(x) by using the round-to- nearest rule (see Example 1.11 on page 22 in the notes, but here you do not need to find the relative error). Sadly, this mean that you need to give me all 52 bits to the right of the decimal point...sorry about that! a) 1/4 b) 1/3 c) 2/3 d) 0.9

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
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3. For each of the following base 10 numbers below, (i) convert the number to binary (show
your work) and (ii) find the double precision representation fl(x) by using the round-to-
nearest rule (see Example 1.11 on page 22 in the notes, but here you do not need to find the
relative error). Sadly, this mean that you need to give me all 52 bits to the right of the
decimal point...sorry about that!
a) 1/4
b) 1/3
c) 2/3
d) 0.9
Transcribed Image Text:3. For each of the following base 10 numbers below, (i) convert the number to binary (show your work) and (ii) find the double precision representation fl(x) by using the round-to- nearest rule (see Example 1.11 on page 22 in the notes, but here you do not need to find the relative error). Sadly, this mean that you need to give me all 52 bits to the right of the decimal point...sorry about that! a) 1/4 b) 1/3 c) 2/3 d) 0.9
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