Homework Assignment 1
Due Jan. 24, 2001

Note: All the following problems can be easily done with a calculator. However, be sure that you are able to do them by hand, as calculators will not be allowed on the first exam. I suggest you do them by hand, and use a calculator to check your answers.

1. Convert the following binary numbers to their hexadecimal equivalents:
   1. 10010110₂
   2. 11111111₂
   3. 1011011010011010₂

2. Convert the numbers of Problem 1 to their unsigned decimal equivalents.

3. Consider the following hexadecimal numbers as unsigned. Find their decimal equivalents:
   1. C2₁₆
   2. 4F₁₆
   3. 245C₁₆
   4. A41₁₆

4. Convert the following unsigned decimal numbers to their 16-bit hexadecimal equivalents:
   1. 6491₁₀
   2. 563₁₀
   3. 65535₁₀

5. Consider the following hexadecimal 8-bit numbers as unsigned. Find their decimal equivalents:
   1. 0xFF
   2. 0x4F
   3. 0x91
   4. 0x80

6. Repeat Problem 5, considering the numbers as signed.

7. Convert the following signed decimal numbers to 8-bit hexadecimal numbers.
   1. 49
   2. -49
   3. 127
   4. -128