1. What is the 1's complement of the binary number 1101?
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A) 1101
B) 0010
C) 0110
D) 1010
2. What is the main purpose of using 1's complement representation?
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A) Fast multiplication
B) Floating point calculations
C) Simplify addition and subtraction of signed numbers
D) Error detection
3. What happens to the carry bit in a 1's complement addition?
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A) It is discarded
B) It is added back to the sum (end-around carry)
C) It causes overflow
D) It is ignored
4. Which of the following is the 1's complement of 0000 1010?
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A) 1111 0101
B) 1111 1011
C) 0000 0101
D) 1111 0101
5. What is the decimal equivalent of the 1's complement binary 1110 1001 (assuming it
represents a negative number)?
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A) -23
B) -25
C) -24
D) -22
6. In 1’s complement, what is the value of -0 in 4-bit representation?
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A) 0000
B) 1111
C) 1000
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D) 0001
7. Which problem exists in 1’s complement representation but is solved by 2's complement?
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A) Overflow in subtraction
B) Having two different representations for zero
C) Difficult binary multiplication
D) Error propagation
8. When adding two negative numbers in 1's complement, what happens if the result generates a
carry?
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A) It causes overflow
B) Carry is ignored
C) Carry is added back to the sum
D) The result becomes incorrect
9. Which of the following binary operations reflects the 1's complement of a number?
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A) XOR the binary number with 1
B) Subtract the number from all 1’s
C) Add 1 to the original number
D) Flip all bits (0 to 1, 1 to 0)
10. Which of the following is true for 1's complement arithmetic?
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A) It eliminates the need for overflow detection
B) Addition may require end-around carry
C) Negative numbers are represented by setting the MSB to 1
D) Subtraction is simpler compared to 2’s complement
11. What is the 2's complement of 1011?
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A) 0100
B) 0101
C) 1101
D) 1111
12. Which of the following is the correct process to find the 2's complement of a number?
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A) Add 1 to the 1's complement of the number
B) Subtract 1 from the 1's complement of the number
C) Reverse the binary digits
D) Subtract the number from a string of all 1’s
13. What is the decimal value of the 2's complement binary 1110?
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A) 14
B) -2
C) -4
D) -6
14. Which of the following numbers is represented by the 8-bit 2's complement 1111 1111?
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A) -127
B) -1
C) 0
D) 127
15. How many unique numbers can an n-bit 2’s complement system represent?
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A) 2n−12^n - 12n−1
B) 2n2^n2n
C) 2n−22^n - 22n−2
D) −2n-2^n−2n