Modular arithmetic is a branch of Mathematics use to predict the outcomes of cyclic events such as days of the week, market days, months of the year, time etc.
RULES OF MODULAR ARITHMETIC
- The modulo value must be greater than the number worked upon.
- When using cyclic pattern in adding numbers, you must count clock wise direction.
- In subtraction of numbers , you must count anti -clock wise direction
The shorter hand of a clock points to 5 on a clock face. What number does it point to after 30 hours?
30 hours after = 11 o” clock.
2. Find the following numbers in their simplest form in modulo 4
- 15 102
15(mod4) = 15÷4
3 remainder 3, therefore 3 the remainder is taken as 3 mod 4
102mod4 = 102 ÷4 = 25 remainder 2
102 (mod 4) = 2 mod 4
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