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The number 43 in 2's complement representation is
- a)01010101
- b)11010101
- c)00101011
- d)10101011
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The number 43 in 2's complement representation isa)01010101b)11010...
2's complement representation is not same as 2's complement of a number. In 2's complement representation positive integers are represented in its normal binary form while negative numbers are represented in its 2's complement form. So (c) is correct here.
Most Upvoted Answer
The number 43 in 2's complement representation isa)01010101b)11010...
Explanation:
2's complement is a method for representing signed numbers in binary. It is a way of representing negative numbers using binary numbers.
To convert a decimal number to 2's complement representation:
1. Convert the decimal number to binary.
2. If the number is positive, leave it as is. If it is negative, invert all the bits and add 1 to the result.
3. Pad the number with leading zeros to fill in all the bits.
In this case, we are converting the decimal number 43 to 2's complement representation.
1. Convert 43 to binary:
43 / 2 = 21 remainder 1
21 / 2 = 10 remainder 1
10 / 2 = 5 remainder 0
5 / 2 = 2 remainder 1
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
Reading the remainders from bottom to top gives us 101011 in binary.
2. Since 43 is positive, we leave it as is.
3. Pad the number with leading zeros to fill in all the bits:
00101011
Therefore, the 2's complement representation of 43 is 00101011, which is option C.
2's complement is a method for representing signed numbers in binary. It is a way of representing negative numbers using binary numbers.
To convert a decimal number to 2's complement representation:
1. Convert the decimal number to binary.
2. If the number is positive, leave it as is. If it is negative, invert all the bits and add 1 to the result.
3. Pad the number with leading zeros to fill in all the bits.
In this case, we are converting the decimal number 43 to 2's complement representation.
1. Convert 43 to binary:
43 / 2 = 21 remainder 1
21 / 2 = 10 remainder 1
10 / 2 = 5 remainder 0
5 / 2 = 2 remainder 1
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
Reading the remainders from bottom to top gives us 101011 in binary.
2. Since 43 is positive, we leave it as is.
3. Pad the number with leading zeros to fill in all the bits:
00101011
Therefore, the 2's complement representation of 43 is 00101011, which is option C.
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The number 43 in 2's complement representation isa)01010101b)11010101c)00101011d)10101011Correct answer is option 'C'. Can you explain this answer?
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