Q:

Compute the value of the following expressions: 323 mod 5 323 div 5 −323 mod 5 −323 div 5 327 mod 3 (64 · (−67) + 201) mod 7 (〖38〗^12) mod 6 (〖38〗^12) mod 3

Accepted Solution

A:
Answer:323 mod 5 = 3−323 mod 5 = -3327 mod 3 = 0(64 * (-67) + 201) mod 7 = 6(38^12) mod 6 = 4(38^12) mod 3 = 1Step-by-step explanation:The modulo operation looks for remainders from the quotients. In order to find them, divide the whole number by the mod number. Then take just the decimal after the whole answer and multiply it by the mod number. 323 mod 5323/5 = 64.6.6 * 5 = 3−323 mod 5323/5 = -64.6-.6 * 5 = -3327 mod 3327/5 = 1090 * 3 = 0(64 * (-67) + 201) mod 764 * -67  = -4288 + 201 = 40874087/7 = 583.85714.85714 * 7 = 6(38^12) mod 638^12 = 9.07x10^189.07x10^18/6 = 1510956318082499242.6666667.666667 * 6 = 4(38^12) mod 338^12 = 9.07x10^189.07x10^18/3 = 3021912636164998485.333333.3333333 * 3 = 1