Convert the following numbers to floating point representation (represented as 4 hex bytes). (15 points each) a. 321.9876 b. 2.71828
Convert the following numbers to floating point representation (represented as 4 hex bytes). (15 points each) a. 321.9876 b. 2.71828
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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Question
Convert the following numbers to floating point representation (represented as 4 hex bytes). (15
points each)
a. 321.9876
b. 2.71828
Expert Solution
Step 1
A)
321.9876
The binary representation of is:
101000001.1111110011010011011
Since the number is positive the sign bit will be 0.
101000001.1111110011010011011
=>
1.010000011111110011010011011*2^8
The biased Exponent= 15+8= 23 = 10111
Therefore the 16 bit representation is
| 0 | 10111 | 0100000111 |
=>0x5D07
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