Discrete Mathematics Questions and Answers – Number Theory – Complement of a Number

This set of Discrete Mathematics Question Bank focuses on “Number Theory – Complement of a Number”.

1. One’s complement in binary is defined as _________
a) Flipping each binary bit
b) Adding one to the binary number
c) Flipping only bits having zero in it
d) None of the mentioned
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2. What is the one’s complement of the number 1010110?
a) 1111111
b) 0101001
c) 1100110
d) None of the mentioned
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3. One’s complement of a number x is y, then one’s complement of y is?
a) y
b) x
c) x + y
d) None of the mentioned
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4. Nine’s complement of a number is formed by _________
a) replacing each digit by 9 minus that digit
b) replacing each digit by 1plus that digit
c) replacing each digit by 8 minus that digit
d) None of the mentioned
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5. Radix complement can be obtained fromdiminished radix’s complement by _________
a) Adding one to diminished radox’s complement
b) Subtracting one to diminished radox’s complement
c) Both are same things
d) None of the mentioned
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6. In binary signed representation if most significant bit is one then that number is positive.
a) True
b) False
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7. In signed representation 5 is represented in binary as 0101.
a) True
b) False
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8. The two’s complement of 101110100 is represented as?
a) 010001100
b) 101110101
c) 010001100
d) None of the mentioned
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9. 9’s complement of 23456 is?
a) 87654
b) 76543
c) 12345
d) none of the mentioned
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10. Decimal equivalent of one’s complement of 11111001 is?
a) 5
b) 6
c) 4
d) 10
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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