Hilton Kirk
08/03/2024 · Senior High School
Question 20 (1 point) In binary subtraction, what is \( 1100101100101000_{2}-100111001011011_{2} \) ? \( 10110011000101_{2} \) \( 00110011001101_{2} \) \( 10100011001101_{2} \) \( 10110011001101_{2} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To perform the binary subtraction \( 1100101100101000_{2} - 100111001011011_{2} \), we can follow the binary subtraction process, which is similar to decimal subtraction but involves borrowing when necessary.
Let's align the numbers for subtraction:
```
1100101100101000
- 0100111001011011
---------------------
```
Now, we will subtract each column from right to left, borrowing as needed.
1. **Rightmost column**: \( 0 - 1 \) → borrow from the next column (which becomes \( 0 \)), so it becomes \( 10 - 1 = 1 \).
2. **Next column**: \( 0 - 1 \) → again borrow (the next column becomes \( 0 \)), so it becomes \( 10 - 1 = 1 \).
3. **Next column**: \( 0 - 0 = 0 \).
4. **Next column**: \( 1 - 1 = 0 \).
5. **Next column**: \( 0 - 1 \) → borrow (the next column becomes \( 1 \)), so it becomes \( 10 - 1 = 1 \).
6. **Next column**: \( 1 - 0 = 1 \).
7. **Next column**: \( 1 - 1 = 0 \).
8. **Next column**: \( 0 - 0 = 0 \).
9. **Next column**: \( 0 - 1 \) → borrow (the next column becomes \( 1 \)), so it becomes \( 10 - 1 = 1 \).
10. **Next column**: \( 1 - 0 = 1 \).
11. **Next column**: \( 1 - 0 = 1 \).
12. **Next column**: \( 0 - 0 = 0 \).
13. **Next column**: \( 1 - 0 = 1 \).
14. **Next column**: \( 1 - 0 = 1 \).
Putting it all together, we get:
```
1100101100101000
- 0100111001011011
---------------------
00110011001101
```
Thus, the result of the binary subtraction \( 1100101100101000_{2} - 100111001011011_{2} \) is \( 00110011001101_{2} \).
The correct answer is:
\( 00110011001101_{2} \)
Quick Answer
The result is \( 00110011001101_{2} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit