This set of Discrete Mathematics Question Bank focuses on “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

View Answer

Explanation: While taking 1’s complement we replace 1 with zero and vice versa.

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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Explanation: While taking 1’s complement we replace 1 with zero and vice versa.

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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Explanation: Complement of Complement of number gives the same number.

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

View Answer

Explanation: Nine’s complement of a number is formed by replacing each digit by 9 minus that digit.

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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Explanation: Radix complement = diminished radix complement +1.

6. State whether the given statement is true or false

In binary signed repersentation if most significant bit is one then that number is positive.

a) True

b) False

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Explanation: In signed repersentation if most significant bit is one then that number is negative, for positive numbers msb = 0.

7. In signed representation 5 is represented in binary as 0101.

a) True

b) False

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Explanation: Here msb is the signed bit which is zero, 101 evaluates to 5 hence it is +5.

8. The two’s complement of 101110100 is represented as?

a) 010001100

b) 101110101

c) 010001100

d) None of the mentioned

View Answer

Explanation: 2’s complement = 1’s complement +1, 1’s complement = 010001011.

9. 9’s complement of 23456 is:

a) 87654

b) 76543

c) 12345

d) none of the mentioned

View Answer

Explanation: Nine’s complement of a number is formed by replacing each digit by 9 minus that digit.

10. Decimal equivalent of one’s complement of 11111001 is:

a) 5

b) 6

c) 4

d) 10

View Answer

Explanation: One’s complement of that number is 00000110 which is 6 in decimal.

**Sanfoundry Global Education & Learning Series – Discrete Mathematics.**

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