4 Sample Problems Prove that the following answers are correct. Handwritten work is fine, if you want to print it out then scan in or take a clear photo with your phone and submit in your final PDF B = 0 0011 001 A= 1 0101 101 Binary to Decimal Conversion A= 1 0101 101 (1 0101 101 ); = (0 x 2°) + (1 x 27") + (0 x 2°) + (1 x 25) + (1 x 2*) + (0 x 23) + (1 x 2*) + (105 x 24) + (105 x 2°) = (173)10 Therefore, 1 0101 101 into decimal is 173 B = 0 0011 001 (00011001)2 = (0 x 2") + (0 x 2°) + (0 x 25) + (1 x 2*) + (1 x 2) + (0 x 22) + (0 x 24) + (1 x 2°) = (25)10 %3D Therefore, 0 0011 001 into decimal is 25.

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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4 Sample Problems
Prove that the following answers are correct. Handwritten work is fine, if you want to print it out then
scan in or take a clear photo with your phone and submit in your final PDF
B = 0 0011 001
A= 1 0101 101
Binary to Decimal Conversion
A= 1 0101 101
(1 0101 101 )2 = (0 x 28) + (1 x 2") + (0 x 2°) + (1 × 2³) + (1 x 2*) + (0 x 23) +
(1 x 2*) + (105 x 24) + (105 x 2°)
= (173)10
Therefore, 1 0101 101 into decimal is 173
B = 0 0011 001
(00011001), = (0 x 2") + (0 x 2°) + (0 x 25) + (1 x 2*) + (1 x 2³) + (0 x 22) +
(0 x 24) + (1 x 2°)
= (25)10
%3D
Therefore, 0 0011 001 into decimal is 25.
Transcribed Image Text:4 Sample Problems Prove that the following answers are correct. Handwritten work is fine, if you want to print it out then scan in or take a clear photo with your phone and submit in your final PDF B = 0 0011 001 A= 1 0101 101 Binary to Decimal Conversion A= 1 0101 101 (1 0101 101 )2 = (0 x 28) + (1 x 2") + (0 x 2°) + (1 × 2³) + (1 x 2*) + (0 x 23) + (1 x 2*) + (105 x 24) + (105 x 2°) = (173)10 Therefore, 1 0101 101 into decimal is 173 B = 0 0011 001 (00011001), = (0 x 2") + (0 x 2°) + (0 x 25) + (1 x 2*) + (1 x 2³) + (0 x 22) + (0 x 24) + (1 x 2°) = (25)10 %3D Therefore, 0 0011 001 into decimal is 25.
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