1. Convert 757.25₁₀ to hexadecimal.

2. Convert 111010110001.011₂ to octal

3. Convert to base 6: 3BA.25₁₄ (do all of the arithmetic in decimal)

4. Subtract in binary. Place 1 over each column from which it was necessary to borrow.

11110100 1000111.

5. Convert 375.54₈ to base 3

6. Convert the following decimal number to binary:

2983₆₃₆

7. Multiply in binary: 1111 and 1001.

8. Add in binary: 1111 and 1001

9. Divide in binary: 11101001 101

10. What is the lowest number of bits (digits) required in the binary number approximately equal to the decimal number 0.6117₁₀ so that the binary number has the same or better precision?

11. Convert 0.363636 . . . ₁₀ to its exact equivalent base 8 number.

12. Convert (0.12)₃ to a base 6 fraction.

13. Show how to represent (5³ 1) as a base 5 number.

14. Construct a table for 4-3-2-1 weighted code and write 9154 using this code.

15. How many bits is the ASCII code?

16. Construct a 6-2-2-1 weighted code for decimal digits. What number does 1100 0011 represent in this code?

17. It is possible to construct a 6-4-1-1 weighted code.

a. True
b. False

18. Overflow occurs if adding two negative numbers gives a positive answer.

a. True
b. False

19. Is the following true?

The addition of 1's complement numbers is similar to 2's complement except that instead of discarding the last carry, it is added to the n-bit sum in the position furthest to the left.

a. True
b. False