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2's complement representation of a 16 bit number (one sign bit and 15 magnitude bits) is FFFF. Its magnitude in decimal representation is
  • a)
    0
  • b)
    1
  • c)
    32, 767
  • d)
    65, 535
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
2's complement representation of a 16 bit number (one sign bit and 15 ...
Explanation:

2's Complement Representation:
- In 2's complement representation, the most significant bit (MSB) is the sign bit, with 0 representing a positive number and 1 representing a negative number.
- To find the magnitude of a negative number in 2's complement representation, invert all the bits and add 1 to the result.

Given Information:
- The 16-bit number in 2's complement representation is FFFF.

Calculating Magnitude:
- Invert all the bits of FFFF: 0000
- Add 1 to the result: 0001

Converting to Decimal:
- The result 0001 in binary represents the decimal number 1.
Therefore, the magnitude of the 16-bit number represented by FFFF in 2's complement is 1 in decimal representation.
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2's complement representation of a 16 bit number (one sign bit and 15 magnitude bits) is FFFF. Its magnitude in decimal representation isa)0b)1c)32, 767d)65, 535Correct answer is option 'B'. Can you explain this answer?
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