Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The 2’s complement of 1010101 is ______... Start Learning for Free
The 2’s complement of 1010101 is ______.
- a)0101010
- b)1110011
- c)0101011
- d)1101010
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The 2’s complement of 1010101 is ______.a)0101010b)1110011c)0101...
Understanding 2's Complement
The 2's complement is a method used to represent negative numbers in binary. To find the 2's complement of a binary number, follow these steps:
1. **Invert the Bits**: Change all 0s to 1s and all 1s to 0s.
2. **Add One**: Add 1 to the inverted binary number.
Steps to Find the 2's Complement of 1010101
1. **Original Binary Number**:
- 1010101
2. **Invert the Bits**:
- 0 → 1
- 1 → 0
- Therefore, the inverted bits become:
- 0101010
3. **Add One**:
- Adding 1 to the inverted number:
- 0101010
- + 1
- __________
- 0101011
Final Result
Thus, the 2's complement of 1010101 is 0101011.
Conclusion
The correct answer is option 'C' (0101011). This method is crucial in digital systems for arithmetic operations and representing negative numbers effectively. Understanding the 2's complement is essential for anyone studying Electrical Engineering and working with binary systems.
The 2's complement is a method used to represent negative numbers in binary. To find the 2's complement of a binary number, follow these steps:
1. **Invert the Bits**: Change all 0s to 1s and all 1s to 0s.
2. **Add One**: Add 1 to the inverted binary number.
Steps to Find the 2's Complement of 1010101
1. **Original Binary Number**:
- 1010101
2. **Invert the Bits**:
- 0 → 1
- 1 → 0
- Therefore, the inverted bits become:
- 0101010
3. **Add One**:
- Adding 1 to the inverted number:
- 0101010
- + 1
- __________
- 0101011
Final Result
Thus, the 2's complement of 1010101 is 0101011.
Conclusion
The correct answer is option 'C' (0101011). This method is crucial in digital systems for arithmetic operations and representing negative numbers effectively. Understanding the 2's complement is essential for anyone studying Electrical Engineering and working with binary systems.
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Community Answer
The 2’s complement of 1010101 is ______.a)0101010b)1110011c)0101...
Tips and Tricks:
Steps to writing 2’s complement to any binary number:
- Start from right to left and search for the first ‘1’
- Write down the bits until that first ‘1’ as it is.
- Write down the remaining left bits with their respective complement.
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