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e quantity represented in binary. What is its

e quantity represented in binary. What is its

Database System Concepts
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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**Binary to Decimal Conversion Example** **Question:** The following is a quantity represented in binary. What is its representation in decimal? **Binary Number:** 111111 **Solution:** To convert the binary number 111111 to decimal, use the method of summing powers of 2 where each position represents an exponent of 2, starting from 0 on the right: - \(1 \times 2^5 = 32\) - \(1 \times 2^4 = 16\) - \(1 \times 2^3 = 8\) - \(1 \times 2^2 = 4\) - \(1 \times 2^1 = 2\) - \(1 \times 2^0 = 1\) Now, add all these values together: 32 + 16 + 8 + 4 + 2 + 1 = 63 **Decimal Representation:** 63 The binary number 111111 converts to 63 in decimal.
Transcribed Image Text:**Binary to Decimal Conversion Example** **Question:** The following is a quantity represented in binary. What is its representation in decimal? **Binary Number:** 111111 **Solution:** To convert the binary number 111111 to decimal, use the method of summing powers of 2 where each position represents an exponent of 2, starting from 0 on the right: - \(1 \times 2^5 = 32\) - \(1 \times 2^4 = 16\) - \(1 \times 2^3 = 8\) - \(1 \times 2^2 = 4\) - \(1 \times 2^1 = 2\) - \(1 \times 2^0 = 1\) Now, add all these values together: 32 + 16 + 8 + 4 + 2 + 1 = 63 **Decimal Representation:** 63 The binary number 111111 converts to 63 in decimal.
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