b) What is this single precision floating point number using IEEE 754 encoding in decimal notation? Exponent Fraction 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 6 5 3 2 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 S 28 27 26 25 128 64 32 211 210 2⁹ 2048 1024 512 256 24 2³ 16 N 8 2² 4 ม 2¹ 2⁰ 2 1 2.¹ 2-² 2.3 2-4 2.5 0.125 0.0625 0.5 0.25 0.03125 No 2-6 0.015625
b) What is this single precision floating point number using IEEE 754 encoding in decimal notation? Exponent Fraction 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 6 5 3 2 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 S 28 27 26 25 128 64 32 211 210 2⁹ 2048 1024 512 256 24 2³ 16 N 8 2² 4 ม 2¹ 2⁰ 2 1 2.¹ 2-² 2.3 2-4 2.5 0.125 0.0625 0.5 0.25 0.03125 No 2-6 0.015625
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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Transcribed Image Text:S
31
b) What is this single precision floating point number using IEEE 754 encoding in decimal notation?
Exponent
Fraction
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8
0 0 1 0 1 1 1
211
210 2⁹ 28
2048 1024 512 256
O
27 26 25 24 2³
128 64
32
16
8
00
7
1|0 1 0 1 1 ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο
2² 2¹ 2⁰ 2-¹
4
2
1
0.5
6 5 4
0
2-² 2-3 2-4 2.5
0.25
0.125
0.0625
2-6
0.03125 0.015625
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