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Convert 1110 1011 to a decimal number. Show all details.

Convert 1110 1011 to a decimal number. Show all details.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Hello. Please answer the attached Computer Organization & Architecture question correctly. Please do not give a very lengthy explanation, just a sufficient one.

*If you answer the question correctly, I will give you a thumbs up. Thanks.

### Converting 1110 1011 to a Decimal Number **Convert 1110 1011 to a decimal number.** [Show all details.](#) *Please do not give an extremely long explanation. Just a sufficient one.* --- #### Explanation To convert the binary number 1110 1011 to a decimal number: 1. **Write down the powers of 2** from right to left: ``` 2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0 ``` 2. **Assign the binary digits** to these positions (1110 1011): ``` 1 1 1 0 1 0 1 1 ``` 3. **Calculate the value** for each bit where there is a 1: - \(1 \times 2^7 = 128\) - \(1 \times 2^6 = 64\) - \(1 \times 2^5 = 32\) - \(0 \times 2^4 = 0\) - \(1 \times 2^3 = 8\) - \(0 \times 2^2 = 0\) - \(1 \times 2^1 = 2\) - \(1 \times 2^0 = 1\) 4. **Add the values** together: ``` 128 + 64 + 32 + 0 + 8 + 0 + 2 + 1 = 235 ``` So, the decimal equivalent of the binary number 1110 1011 is **235**.
Transcribed Image Text:### Converting 1110 1011 to a Decimal Number **Convert 1110 1011 to a decimal number.** [Show all details.](#) *Please do not give an extremely long explanation. Just a sufficient one.* --- #### Explanation To convert the binary number 1110 1011 to a decimal number: 1. **Write down the powers of 2** from right to left: ``` 2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0 ``` 2. **Assign the binary digits** to these positions (1110 1011): ``` 1 1 1 0 1 0 1 1 ``` 3. **Calculate the value** for each bit where there is a 1: - \(1 \times 2^7 = 128\) - \(1 \times 2^6 = 64\) - \(1 \times 2^5 = 32\) - \(0 \times 2^4 = 0\) - \(1 \times 2^3 = 8\) - \(0 \times 2^2 = 0\) - \(1 \times 2^1 = 2\) - \(1 \times 2^0 = 1\) 4. **Add the values** together: ``` 128 + 64 + 32 + 0 + 8 + 0 + 2 + 1 = 235 ``` So, the decimal equivalent of the binary number 1110 1011 is **235**.
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