Question: 1. The idea behind clock arithmetic can be applied to other sets of numbers, and we call this idea modular (mod) arithmetic. Instead of thinking

1. The idea behind clock arithmetic can be applied to other sets of numbers, and we call this idea modular (mod) arithmetic. Instead of thinking about the arithmetic on the set{1,2,3,....,11,12}, consider the operation defined on the set{1,2,3,4,5,6,7,8,9,10}. Then75=2

A. Find the solution to89

B. Find the solution to768

C. Find a formula to define on{1,2,3,4,5,6,7,8,9,10}. (Consider defining the formula using the idea of division and remainders i.e. using the mod.)

2. Solve and explain the following operations in the indicated bases.

A. 2212₃+2122₃

B. 10110₂1010₂

C. 7014₈+5737₈

D. 12445₆ - 4205₆

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