Module 0100: Floating point numbers

Module 0100: Floating point numbers

Tak Auyeung, Ph.D.

November 27, 2006

1 About this module
2 What is the “point”?
3 Fixed (implied) point representation
3.1 The representation
3.2 Operators
3.3 Multiplication
3.4 Rounding versus truncating
3.5 How about signed numbers?
3.6 How about division?
4 Floating point
4.1 The representation
4.2 IEEE ﬂoating point formats
  4.2.1 Special values
  4.2.2 Example 1
  4.2.3 Example 2
  4.2.4 Visualizing ﬂoating point representation
4.3 Floating point calculations
  4.3.1 Multiplication
  4.3.2 Division
  4.3.3 Addition/subtraction