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Phrases Previous Year Questions (PYQs)
Phrases 1s Complement 2s Complement PYQ
Which of the following is the representation of decimal number (- 147) in 2's compliment notation on a 12-bit machine?
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Solution
The smallest integer that can be represented by an 8 bit number in 2's complement form is
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Solution
The maximum and minimum value represented in signed 16-bit 2s compliment representation are
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Solution
Maximum & Minimum in 16-bit 2's Complement
Total Bits: 16
Format: 1 sign bit + 15 magnitude bits
- Maximum (positive):
0111 1111 1111 1111(2)= +32,767 - Minimum (negative):
1000 0000 0000 0000(2)= −32,768
✅ Final Answer:
Minimum = −32,768
Maximum = +32,767
If N is a 16-bit signed integer, then 2's complement representation of N is (F87B)16. The 2's complement representation of 8*N is
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In an 8 bit representation of computer system the decimal number 47 has to be subtracted from 38 and the result in binary 2's complement is _________
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Solution
Consider
the following 4- bit binary numbers represented in the 2’s complement form :
1101 and 0100 What would be the result when we add them?
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Solution
2's Complement Addition (4-bit)
Given: 1101 and 0100 (in 2’s complement)
Step-by-step:
- 1101 = −3 (in decimal)
- 0100 = +4 (in decimal)
- Sum = −3 + 4 = +1
- +1 in 4-bit 2’s complement = 0001
✅ Final Answer: 0001
Given
that numbers A and B are two 8 bit 2’s complement numbers with A = 11111111,
B = 11111111. Then sum A + B is _________
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Solution
2's Complement Addition (8-bit)
Given:
- A = 11111111 → (−1)
- B = 11111111 → (−1)
Sum: −1 + (−1) = −2
Convert −2 to 8-bit 2's complement:
- +2 = 00000010
- Invert = 11111101
- Add 1 = 11111110
✅ Final Answer: 11111110
Let
the given number 11001, 1001 and 111001 be correspond to the 2’s complement representation.
Then with which one of the following decimal number, the given numbers match
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Solution
Binary to Decimal: 2's Complement Conversion
Given binary numbers:
- 11001 (5-bit)
- 1001 (4-bit)
- 111001 (6-bit)
Step-by-step (2's complement):
- Each starts with 1 → negative number
- Convert by inverting and adding 1
- All result in binary 0111 → decimal 7
- So final value = −7
✅ Final Answer: Each binary number corresponds to the decimal number −7.
The maximum and minimum value represented in signed
16 bit 2's complement representations are
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Solution
Range of 2's complement −2n−1 to 2n−1+1Range for 16 bits = −216−1 to 216−1+1
Range for 16 bits = −215 to 225+1
Range for 16 bits = −32768 to 32767
The 2's complement representation of the number (–100)10 in an 8 bit computer is
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