Perform the following hexadecimal\octal additions: a. 19AB616 + 4316 b. AE916 +F16 c. 106616 +ABCD16 d. 716 + 916 e. 7708 + 6658
Perform the following hexadecimal\octal additions: a. 19AB616 + 4316 b. AE916 +F16 c. 106616 +ABCD16 d. 716 + 916 e. 7708 + 6658
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
Perform the following hexadecimal\octal additions:
a. 19AB616 + 4316
b. AE916 +F16
c. 106616 +ABCD16
d. 716 + 916
e. 7708 + 6658
Expert Solution
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Step 1
a.
First Convert Hexadecimal to decimal-
19AB616=(1 * 166 ) + ( 9 * 165 ) + (10 * 164 ) + (11 * 163 ) + (6 * 162 ) + (1 * 161 ) + (6 * 160 )
= 1*16777216 + 9*1048576 + 10*65536 + 11*4096 + 6*256 + 1*16 + 6*1
= 16777216 + 9437184 + 655360 + 45056 + 1536 + 16 + 6
= 26916374
Now Convert Octal to Decimal
4316=(4 * 83 ) + (3 * 82 ) + (1*81 ) + (6*80 )
= 4*512 + 3*64 + 1*8 + 6*1
= 2048 + 192 +8 + 6
= 2254
Now add both Decimal = 26916374 + 2254 = 26918628
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