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The 2’s complement representation of the decimal value - 15 is
- a)1111
- b)11111
- c)111111
- d)10001
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The 2’s complement representation of the decimal value - 15 isa)...
The 2’s complement of negative numbers are represented as the binary number that when added to a positive number of the same magnitude equals zero
+15 = 0 1 1 1 1
The 2’s complement representation of the decimal value -15 is
-15 in 2’s complement = 10001
+15 = 0 1 1 1 1
The 2’s complement representation of the decimal value -15 is
-15 in 2’s complement = 10001
Most Upvoted Answer
The 2’s complement representation of the decimal value - 15 isa)...
Understanding 2's Complement
2's complement is a method for representing signed integers in binary form. It allows for easy arithmetic operations and is widely used in computer systems.
Steps to Find 2's Complement Representation of -15
1. Determine the Binary Representation of Positive 15
- The binary representation of 15 in 4 bits is:
- 15 = 1111
2. Invert the Bits
- Change all 0s to 1s and all 1s to 0s:
- 1111 becomes 0000
3. Add 1 to the Inverted Bits
- Now, add 1 to the inverted result:
- 0000 + 0001 = 0001
4. Final Result
- Thus, the 2's complement of -15 in 4 bits is:
- 0001
Choosing the Correct Bit Length
To represent -15 correctly using 5 bits, we follow the same steps:
1. Binary Representation of 15 in 5 bits
- 15 = 01111 (5 bits)
2. Invert the Bits
- 01111 becomes 10000
3. Add 1 to the Inverted Bits
- 10000 + 00001 = 10001
Conclusion
Therefore, the 2's complement representation of the decimal value -15 is:
- 10001 (in 5 bits).
This confirms that the correct answer is option 'D'.
2's complement is a method for representing signed integers in binary form. It allows for easy arithmetic operations and is widely used in computer systems.
Steps to Find 2's Complement Representation of -15
1. Determine the Binary Representation of Positive 15
- The binary representation of 15 in 4 bits is:
- 15 = 1111
2. Invert the Bits
- Change all 0s to 1s and all 1s to 0s:
- 1111 becomes 0000
3. Add 1 to the Inverted Bits
- Now, add 1 to the inverted result:
- 0000 + 0001 = 0001
4. Final Result
- Thus, the 2's complement of -15 in 4 bits is:
- 0001
Choosing the Correct Bit Length
To represent -15 correctly using 5 bits, we follow the same steps:
1. Binary Representation of 15 in 5 bits
- 15 = 01111 (5 bits)
2. Invert the Bits
- 01111 becomes 10000
3. Add 1 to the Inverted Bits
- 10000 + 00001 = 10001
Conclusion
Therefore, the 2's complement representation of the decimal value -15 is:
- 10001 (in 5 bits).
This confirms that the correct answer is option 'D'.
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The 2’s complement representation of the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer?
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The 2’s complement representation of the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 2’s complement representation of the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer?.
The 2’s complement representation of the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 2’s complement representation of the decimal value - 15 isa)1111b)11111c)111111d)10001Correct answer is option 'D'. Can you explain this answer?.
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