Discrete Mathematics Practice Test 5

1. F in hexadecimal representation is equivalent to 9 in decimal.

2. By induction hypothesis, the series 1² + 2² + 3² + ... + p² can be proved equivalent to ____________

3. What is the base case for the inequality 7ⁿ > n³, where n = 3?

4. Out of the following which of these integers is not prime?

5. There are 67 people in a company where they are using secret key encryption and decryption system for privacy purpose. Determine the number of secret keys required for this purpose?

6. What is the one's complement of the number 1010110?

7. The two's complement of 101110100 is represented as?

8. The least common multiple of 41.42 and 42.41 is ____________

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

10. Decimal equivalent of one's complement of 11111001 is?