Binary Numbers 1 Convert the following binary numbers to decimal: (a) I1 (b) 100 (c) 111 (d) 1000

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
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Binary numbers

Binary Numbers
1 Convert the following binary numbers to decimal:
(a) I1
(b) 100
(c) 111
(d) 1000
Transcribed Image Text:Binary Numbers 1 Convert the following binary numbers to decimal: (a) I1 (b) 100 (c) 111 (d) 1000
Expert Solution
Step 1

Binary to decimal steps:

For binary number with n digits:

dn-1 ... d3 d2 d1 d0

The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):

decimal = d0×20 + d1×21 + d2×22 + ...

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