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The 2’s complement representation of (539)10 in hexadecimal is
- a)ABE
- b)DBC
- c)DE5
- d)9E7
Correct answer is option 'C'. Can you explain this answer?
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The 2’s complement representation of (539)10 in hexadecimal isa)...
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The 2’s complement representation of (539)10 in hexadecimal isa)...
Understanding 2's Complement Representation
To convert a decimal number to 2's complement representation in hexadecimal, follow these steps:
Step 1: Convert Decimal to Binary
- Start with the decimal number (539).
- Convert 539 to binary:
- 539 in binary is 1000010111.
Step 2: Determine Bit Length
- For 2's complement, ensure you have a fixed bit length.
- The nearest power of 2 that can accommodate 539 is 10 bits (since 2^10 = 1024).
Step 3: Padding the Binary Number
- The binary representation of 539 (1000010111) is already 10 bits.
- No additional padding is needed.
Step 4: Find 2's Complement
- Invert the bits:
- Original: 1000010111
- Inverted: 0111101000
- Add 1 to the inverted binary:
- 0111101000 + 1 = 0111101001
Step 5: Convert Binary to Hexadecimal
- Group the binary number into 4-bit segments from the right:
- 0011 1101 001 (add a leading zero to make it 12 bits: 0011 1101 001)
- Convert each group to hexadecimal:
- 0011 = 3
- 1101 = D
- 001 = 1 (pad with zeros: 0001 = 1)
- Combine the hexadecimal digits:
- Result: 0x3D1
Conclusion
The hexadecimal representation of the 2's complement of 539 is 3D1. The correct answer should be confirmed against the provided options. If option 'C' is indicated as DE5, this may require a review of the original context or question parameters.
To convert a decimal number to 2's complement representation in hexadecimal, follow these steps:
Step 1: Convert Decimal to Binary
- Start with the decimal number (539).
- Convert 539 to binary:
- 539 in binary is 1000010111.
Step 2: Determine Bit Length
- For 2's complement, ensure you have a fixed bit length.
- The nearest power of 2 that can accommodate 539 is 10 bits (since 2^10 = 1024).
Step 3: Padding the Binary Number
- The binary representation of 539 (1000010111) is already 10 bits.
- No additional padding is needed.
Step 4: Find 2's Complement
- Invert the bits:
- Original: 1000010111
- Inverted: 0111101000
- Add 1 to the inverted binary:
- 0111101000 + 1 = 0111101001
Step 5: Convert Binary to Hexadecimal
- Group the binary number into 4-bit segments from the right:
- 0011 1101 001 (add a leading zero to make it 12 bits: 0011 1101 001)
- Convert each group to hexadecimal:
- 0011 = 3
- 1101 = D
- 001 = 1 (pad with zeros: 0001 = 1)
- Combine the hexadecimal digits:
- Result: 0x3D1
Conclusion
The hexadecimal representation of the 2's complement of 539 is 3D1. The correct answer should be confirmed against the provided options. If option 'C' is indicated as DE5, this may require a review of the original context or question parameters.
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The 2’s complement representation of (539)10 in hexadecimal isa)ABEb)DBCc)DE5d)9E7Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The 2’s complement representation of (539)10 in hexadecimal isa)ABEb)DBCc)DE5d)9E7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 2’s complement representation of (539)10 in hexadecimal isa)ABEb)DBCc)DE5d)9E7Correct answer is option 'C'. Can you explain this answer?.
The 2’s complement representation of (539)10 in hexadecimal isa)ABEb)DBCc)DE5d)9E7Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The 2’s complement representation of (539)10 in hexadecimal isa)ABEb)DBCc)DE5d)9E7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 2’s complement representation of (539)10 in hexadecimal isa)ABEb)DBCc)DE5d)9E7Correct answer is option 'C'. Can you explain this answer?.
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