Discrete Mathematic

5.7 Outline

1. Definition
2. Clock arithmetic
   1. addition of a 12-hourclock
   2. elementary operations
      1. subtraction
      2. multiplication
      3. zero multiplication
      4. division
3. Modulo five arithmetic
   1. addition of a 5-hour clock
   2. congruence modulo m
   3. solving modular equations
4. Group properties for a modulo system
   1. testing group properties
   2. testing