A1 - Number Systems, due Mon, Sept. 17

12 Sep 2018 in CS 101 on Assignments

Assigned Wednesday, Sept. 12; Due Monday, Sept. 17; Quiz Monday, Sept. 17.

Read the lecture notes on Number Systems & Binary and complete the following questions in your notebooks (to be collected).

1. Convert the following base ten (decimal) numbers to binary.

   A. 6

   B. 18

   C. 51

   D. 639

2. Convert the following unsigned binary numbers into base ten.

   A. 1010

   B. 1101

   C. 1000

   D. 10001

3. What do all odd numbers have in common, when written in binary? (Hint: try writing the quantities 3, 5, 7, 9, 11 in binary.)

4. Using 7-bit signed (two’s complement) binary numbers, what is the largest positive number? What is the most negative number?

5. Convert the following 5-bit signed (two’s complement) binary numbers into base ten.

   A. 01101

   B. 01111

   C. 10011

   D. 11111

6. Convert 0111111100111010 (a 16-bit number) into hexadecimal, and then into octal.

7. Convert the following hexadecimal numbers into binary:

   A. 9D

   B. C4

   C. A17E

8. Add and verify the following unsigned binary numbers.

   A. 101111 + 11101

   B. 110111 + 100100