• Explain how base 2, 8 and 16 whole number are easy to convert.

a) convert an 8 digit base 2 number to base 8 - Explain each step.

b) convert an 8 digit base 8 number to base 16 - Explain each step.

c) convert an 8 digit base 16 number to base 2 - Explain each step.

* What is the Hierarchy of numbers as explained in the lecture notes. Explain it.

• Explain why it is important to understand bases. When do you use base 2, 8, 10 and 16 ?
• Why/How would you incorporate the digit zero (0) in the number hierarchy..

Draw a New Number Hierarchy diagram and JUSTIFY your answer.

• Explain how to convert a base 2 fraction to a base 8 or 16 fraction.

Convert the three base 2 numbers: 1.1, 1.11 and 1.111 to base 8 and 16, show the manual conversion.