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On subtracting (001100)2 from (101001)2 using 2’s complement, we get ____________
- a)1101100
- b)011101
- c)11010101
- d)11010111
Correct answer is option 'B'. Can you explain this answer?
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On subtracting (001100)2 from (101001)2 using 2’s complement, we...
To subtract (001100)2 from (101001)2 using base 2, we can set up the subtraction as follows:
101001 (top number)
- 001100 (bottom number)
____________
Starting from the rightmost digit, we subtract 0 from 1, which gives us 1. We then subtract 0 from 0, which gives us 0. Continuing with the subtraction, we subtract 1 from 1, which gives us 0. Next, we subtract 1 from 0, but we need to borrow from the next digit.
To borrow from the next digit, we change it from 0 to 1. Therefore, the next digit becomes 1, and we subtract 1 from 2, which gives us 1. Finally, we subtract 0 from 1, which gives us 1.
Thus, the result of subtracting (001100)2 from (101001)2 is (11101)2.
101001 (top number)
- 001100 (bottom number)
____________
Starting from the rightmost digit, we subtract 0 from 1, which gives us 1. We then subtract 0 from 0, which gives us 0. Continuing with the subtraction, we subtract 1 from 1, which gives us 0. Next, we subtract 1 from 0, but we need to borrow from the next digit.
To borrow from the next digit, we change it from 0 to 1. Therefore, the next digit becomes 1, and we subtract 1 from 2, which gives us 1. Finally, we subtract 0 from 1, which gives us 1.
Thus, the result of subtracting (001100)2 from (101001)2 is (11101)2.
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On subtracting (001100)2 from (101001)2 using 2’s complement, we...
Steps For Subtraction using 2’s complement are:
→ 2’s complement of the subtrahend is determined and added to the minuend.
→ If the result has a carry, then it is dropped and the result is positive.
→ Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.
→ 2’s complement of the subtrahend is determined and added to the minuend.
→ If the result has a carry, then it is dropped and the result is positive.
→ Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.
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On subtracting (001100)2 from (101001)2 using 2’s complement, we get ____________a)1101100b)011101c)11010101d)11010111Correct answer is option 'B'. Can you explain this answer?
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