What is the 8-bit binary value of -1110? *Show the details of your work. Please do not give an extremely long answer. Just a sufficient explanation.

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...
icon
Related questions
Question
100%

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 -11 (Decimal) to 8-bit Binary

**Question:** What is the 8-bit binary value of -11₁₀?

**Instructions:** Show the details of your work. Please do not give an extremely long answer. Just a sufficient explanation.

**Solution:**

To find the 8-bit binary representation of the decimal number -11, follow these steps:

1. **Convert the positive value (11) to binary:**
   - 11 in decimal is 1011 in binary.

2. **Make it 8 bits by adding leading zeros:**
   - 00001011 (8-bit representation)

3. **Find the 1's complement:**
   - Invert each bit: 11110100

4. **Add 1 to the least significant bit (LSB) to get the 2's complement:**
   - 11110100
   +       1
   --------
     11110101

The 8-bit binary value for -11₁₀ is **11110101**.

This 2's complement representation is commonly used in computer systems to encode negative numbers.
Transcribed Image Text:### Converting -11 (Decimal) to 8-bit Binary **Question:** What is the 8-bit binary value of -11₁₀? **Instructions:** Show the details of your work. Please do not give an extremely long answer. Just a sufficient explanation. **Solution:** To find the 8-bit binary representation of the decimal number -11, follow these steps: 1. **Convert the positive value (11) to binary:** - 11 in decimal is 1011 in binary. 2. **Make it 8 bits by adding leading zeros:** - 00001011 (8-bit representation) 3. **Find the 1's complement:** - Invert each bit: 11110100 4. **Add 1 to the least significant bit (LSB) to get the 2's complement:** - 11110100 + 1 -------- 11110101 The 8-bit binary value for -11₁₀ is **11110101**. This 2's complement representation is commonly used in computer systems to encode negative numbers.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY