**Binary to Decimal Conversion Explanation**To convert a binary number to decimal, we multiply each bit by 2 raised to the power of its position number, counting from right to left starting at 0. Then, we sum the results.### Convert the Binary Numbers to Decimal1. **Binary Number: 10010010** - Calculate each bit's value: - \( 1 \times 2^7 = 128 \) - \( 0 \times 2^6 = 0 \) - \( 0 \times 2^5 = 0 \) - \( 1 \times 2^4 = 16 \) - \( 0 \times 2^3 = 0 \) - \( 0 \times 2^2 = 0 \) - \( 1 \times 2^1 = 2 \) - \( 0 \times 2^0 = 0 \) - Sum the results: \(128 + 0 + 0 + 16 + 0 + 0 + 2 + 0 = 146\) - **Decimal Number: 146**2. **Binary Number: 10100001** - Calculate each bit's value: - \( 1 \times 2^7 = 128 \) - \( 0 \times 2^6 = 0 \) - \( 1 \times 2^5 = 32 \) - \( 0 \times 2^4 = 0 \) - \( 0 \times 2^3 = 0 \) - \( 0 \times 2^2 = 0 \) - \( 0 \times 2^1 = 0 \) - \( 1 \times 2^0 = 1 \) - Sum the results: \(128 + 0 + 32 + 0 + 0 + 0 + 0 + 1 = 161\) - **Decimal Number: 161**3. **Binary Number: 10100011** - Calculate each bit's value: - \( 1 \times 2^7 = 128 \) - \( 0 \times 2^6 = 0 \) - \( 1 \times 2^5 =

Binary 10010010 Decimal 1x27 + 0x26 +0x25 +1x24 +0x23+0x22+1x21+0x20 =128+16+2 =146 Binary 10100001…

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Convert binary to decimal. Show detail calculation 10010010; 10100001; 10100011

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

**Binary to Decimal Conversion Explanation**

To convert a binary number to decimal, we multiply each bit by 2 raised to the power of its position number, counting from right to left starting at 0. Then, we sum the results.

### Convert the Binary Numbers to Decimal

1. **Binary Number: 10010010**

- Calculate each bit's value:
- \( 1 \times 2^7 = 128 \)
- \( 0 \times 2^6 = 0 \)
- \( 0 \times 2^5 = 0 \)
- \( 1 \times 2^4 = 16 \)
- \( 0 \times 2^3 = 0 \)
- \( 0 \times 2^2 = 0 \)
- \( 1 \times 2^1 = 2 \)
- \( 0 \times 2^0 = 0 \)

- Sum the results: \(128 + 0 + 0 + 16 + 0 + 0 + 2 + 0 = 146\)

- **Decimal Number: 146**

2. **Binary Number: 10100001**

- Calculate each bit's value:
- \( 1 \times 2^7 = 128 \)
- \( 0 \times 2^6 = 0 \)
- \( 1 \times 2^5 = 32 \)
- \( 0 \times 2^4 = 0 \)
- \( 0 \times 2^3 = 0 \)
- \( 0 \times 2^2 = 0 \)
- \( 0 \times 2^1 = 0 \)
- \( 1 \times 2^0 = 1 \)

- Sum the results: \(128 + 0 + 32 + 0 + 0 + 0 + 0 + 1 = 161\)

- **Decimal Number: 161**

3. **Binary Number: 10100011**

- Calculate each bit's value:
- \( 1 \times 2^7 = 128 \)
- \( 0 \times 2^6 = 0 \)
- \( 1 \times 2^5 =

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