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X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits is
  • a)
    110111
  • b)
    001000
  • c)
    000111
  • d)
    101001
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in tw...
's complement form.

To add them together, we follow the same steps as with regular binary addition:

1. Start with the rightmost (least significant) bit and add the two digits together.
- 0 + 1 = 1

2. If the sum is 2 or more, carry over to the next column by adding 1.
- No carry in this case.

3. Repeat for the next column to the left.

- 1 + 0 = 1

4. Continue until all columns have been added.

- 1 1 0 1 1

5. If the result has a carry in the leftmost column, discard it.

- No carry in this case.

Therefore, the sum of X and Y in two's complement form is 11011.
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Community Answer
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in tw...
To represent a given 5-bit number using 6- bits in a 2's complement representation, we simply copy the MSB bit as it is till we get the required 6 bits, i.e.
X = 01110 = 001110 
Y = 11001 =111001
Ignoring the carry, we get the addition of the two in 2's complement number as:∴ x + y = 000111
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X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?
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