Questions:

1. If you convert the hexadecimal number A4C01₁₆ to octal and decimal, which representation will require less digits?   [Answer]
   
   
2. What is the special relationship between binary, octal, and hexadecimal?   [Answer]
   
   
3. How can we convert an octal number to binary?   [Answer]
   
   
4. How can we convert a hexadecimal number to binary?   [Answer]
   
   
5. Convert the following numbers to binary.   [Answer]
   
   1. A₁₆
   2. 7₈
   3. 32₈
   4. FF₁₆
   5. 10B₁₆
   6. 251₈
      
      
6. Write the following binary numbers in octal shorthand. (Hint: convert each group of three binary digits to a single octal digit.)   [Answer]
   1. 110₂
   2. 100₂
   3. 010₂
   4. 111101₂
   5. 010101₂
   6. 001011101101₂
      
      
7. Write the following binary numbers in hexadecimal shorthand. (Hint: convert each group of four binary digits to a single hexadecimal digit.)   [Answer]
   
   1. 1101₂
   2. 1001₂
   3. 0101₂
   4. 11101101₂
   5. 01010101₂
   6. 0001011011001101₂