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Select the decimal representation for (407) 16. 0 261 0263 O 2560 02567 MacBook Pro

Select the decimal representation for (407) 16. 0 261 0263 O 2560 02567 MacBook Pro

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.8: The Real Numbers
Problem 1.236TI: Locate on the number line: —0.7.
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Discrete Math
**Question:** Select the decimal representation for \((A07)_{16}\). **Options:** - ○ 261 - ○ 263 - ○ 2560 - ○ 2567 **Explanation:** To find the decimal representation of the hexadecimal number \((A07)_{16}\), calculate as follows: 1. \(A \times 16^2 = 10 \times 256 = 2560\) 2. \(0 \times 16^1 = 0 \times 16 = 0\) 3. \(7 \times 16^0 = 7 \times 1 = 7\) Add the results: \(2560 + 0 + 7 = 2567\). Thus, \((A07)_{16} = 2567\). --- **Correct Answer:** - ○ 2567
Transcribed Image Text:**Question:** Select the decimal representation for \((A07)_{16}\). **Options:** - ○ 261 - ○ 263 - ○ 2560 - ○ 2567 **Explanation:** To find the decimal representation of the hexadecimal number \((A07)_{16}\), calculate as follows: 1. \(A \times 16^2 = 10 \times 256 = 2560\) 2. \(0 \times 16^1 = 0 \times 16 = 0\) 3. \(7 \times 16^0 = 7 \times 1 = 7\) Add the results: \(2560 + 0 + 7 = 2567\). Thus, \((A07)_{16} = 2567\). --- **Correct Answer:** - ○ 2567
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