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
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.
Related questions
Question
Discrete Math

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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