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The subtraction of a binary number Y from another binary number X, done by adding the 2's complement of Y to X results in a binary number without overflow. This implies that the result is
  • a)
    -ve and is in normal form
  • b)
    -ve and 2's complement form
  • c)
    +ve and is in normal form
  • d)
    +ve and in 2's complement
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The subtraction of a binary number Y from another binary number X, don...
Explanation:

When we subtract a binary number Y from another binary number X, we can do it by adding the 2's complement of Y to X. This is because the 2's complement of Y is the same as the negative of Y, and adding a negative number is the same as subtracting that number.

If we add the 2's complement of Y to X, the result will be a binary number that is the same as X minus Y. However, there is a possibility of overflow if the sum of X and the 2's complement of Y is greater than the maximum value that can be represented in the binary system.

If there is no overflow, it means that the result is a valid binary number. However, the sign of the result depends on whether X is greater than Y or not. If X is greater than Y, the result will be positive (i.e., not negative). However, if Y is greater than X, the result will be negative.

In either case, the result will be in 2's complement form, because we used the 2's complement of Y in the calculation. This is because the 2's complement system is used to represent negative numbers in binary form.

Therefore, the correct answer is option D - the result will be negative and in 2's complement form.
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The subtraction of a binary number Y from another binary number X, done by adding the 2's complement of Y to X results in a binary number without overflow. This implies that the result isa)-ve and is in normal formb)-ve and 2's complement formc)+ve and is in normal formd)+ve and in 2's complementCorrect answer is option 'D'. Can you explain this answer?
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