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The 2’s complement of the binary number 1101101 is
- a)0101110
- b)0111110
- c)0110010
- d)0010011
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The 2’s complement of the binary number 1101101 isa)0101110b)011...
Concept:
1’s complement representation of a binary number is obtained by toggling all the bits, i.e. replacing 1 with 0, and 0 with 1.
2’s complement representation of a binary number is obtained by adding 1 to the 1’s complement representation.
1’s complement representation of a binary number is obtained by toggling all the bits, i.e. replacing 1 with 0, and 0 with 1.
2’s complement representation of a binary number is obtained by adding 1 to the 1’s complement representation.
Application:
Given the binary number is 1101101
Taking the 1's complement of the above, we replace all the 1's with 0's and all the 0's with 1's to get:
1's complement of 1101101 = 0010010
Adding 1 to the 1's complement, we get the 2's complement as:
0010010 + 1 = 0010011
Given the binary number is 1101101
Taking the 1's complement of the above, we replace all the 1's with 0's and all the 0's with 1's to get:
1's complement of 1101101 = 0010010
Adding 1 to the 1's complement, we get the 2's complement as:
0010010 + 1 = 0010011
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Community Answer
The 2’s complement of the binary number 1101101 isa)0101110b)011...
2's complement of the binary number 1101101
The 2's complement of a binary number is found by taking the 1's complement (flipping all the bits) and then adding 1 to the result. Let's calculate the 2's complement of the binary number 1101101 step by step:
Step 1: Find the 1's complement
- Original binary number: 1101101
- 1's complement: 0010010
Step 2: Add 1 to the 1's complement
- 1's complement: 0010010
- Add 1:
0010010
+ 1
-------
0010011
Therefore, the 2's complement of the binary number 1101101 is 0010011, which corresponds to option 'D'.
The 2's complement of a binary number is found by taking the 1's complement (flipping all the bits) and then adding 1 to the result. Let's calculate the 2's complement of the binary number 1101101 step by step:
Step 1: Find the 1's complement
- Original binary number: 1101101
- 1's complement: 0010010
Step 2: Add 1 to the 1's complement
- 1's complement: 0010010
- Add 1:
0010010
+ 1
-------
0010011
Therefore, the 2's complement of the binary number 1101101 is 0010011, which corresponds to option 'D'.
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The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer?
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The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer?.
The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 2’s complement of the binary number 1101101 isa)0101110b)0111110c)0110010d)0010011Correct answer is option 'D'. Can you explain this answer?.
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