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The I's complement of the binary number (101100)2 is:
- a)(001100)2
- b)(010011)2
- c)(101101)2
- d)(110011)2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The Is complement of the binary number (101100)2 is:a)(001100)2b)(0100...
Answer:
The given binary number is (101100)2.
To find the 1's complement of the binary number, we need to change all the 0's to 1's and all the 1's to 0's.
Steps to find the 1's complement of the binary number:
1. Replace all the 0's with 1's and all the 1's with 0's.
(101100)2 → (010011)2
2. Hence, the 1's complement of the binary number (101100)2 is (010011)2.
Therefore, the correct option is (B) (010011)2.
HTML Code:
The given binary number is (101100)2.
To find the 1's complement of the binary number, we need to change all the 0's to 1's and all the 1's to 0's.
Steps to find the 1's complement of the binary number:
1. Replace all the 0's with 1's and all the 1's with 0's.
(101100)2 → (010011)2
2. Hence, the 1's complement of the binary number (101100)2 is (010011)2.
Therefore, the correct option is (B) (010011)2.
HTML Code:
Steps to find the 1's complement of the binary number:
- Replace all the 0's with 1's and all the 1's with 0's.
- (101100)2 → (010011)2
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Community Answer
The Is complement of the binary number (101100)2 is:a)(001100)2b)(0100...
Concept:
1's complement of Binary: 1's complement of a Binary number is defined by the value obtained by inverting all the bit, i.e, 0 as 1 and 1 as 0.
Calculation:
The 1's complement of the given binary digit will be:
(101100) → (010011)
1's complement of Binary: 1's complement of a Binary number is defined by the value obtained by inverting all the bit, i.e, 0 as 1 and 1 as 0.
Calculation:
The 1's complement of the given binary digit will be:
(101100) → (010011)
Additional Information
2's complement of Binary: It is the sum of 1's complement of Binary number and 1 to the least significant bit (LSB).
∴ 2's complement = 1's complement + 1 (LSB)
Shortcut Trick
Steps to writing 2’s complement to any binary number:
2's complement of Binary: It is the sum of 1's complement of Binary number and 1 to the least significant bit (LSB).
∴ 2's complement = 1's complement + 1 (LSB)
Shortcut Trick
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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