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Q: Evaluate 6-6-5 in the mod 12 system?
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How do you evaluate 6-6 -5 in the mod 12 system?

(6-6)-5 in mod 12


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By using modulo (also known as clock) arithmetic. In this type of arithmetic, when the modulus is reached, the counting restarts back at zero - it is the same as the remainder when the number is divided by the modulus. In the case of this question, the modulus is 12: (11 + 2) MOD 12 = 13 MOD 12 13 ÷ 12 = 1 r 1 → 13 MOD 12 = 1 → (11 + 2) MOD 12= 1 (9 + 5) MOD 12 = 14 MOD 14 14 ÷ 12 = 1 r 2 → 14 MOD 12 = 2 → (9 + 5) MOD 12 = 2


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