The results of the modular arithmetic are given below:
- (99² mod 32)³ mod 15 = 9
- (3⁴ mod 17)² mod 11 = 4
- (19³ mod 23)² mod 31 = 25
- (89³ mod 79)⁴ mod 26 = 0
What are the results of the following modular arithmetic?
In modular arithmetic, the answer in any given modulus is the remainder when a number is divided by another in the modulus of that divisor.
The results of the modular arithmetic are given below:
a. (99² mod 32)³ mod 15
99² mod 32 = 9
9³ mod 15 = 9
(99² mod 32)³ mod 15 = 9
b) (3⁴ mod 17)² mod 11
3⁴ mod 17 = 13
13² mod 11 = 4
(3⁴ mod 17)² mod 11 = 4
c) (19³ mod 23)² mod 31
19³ mod 23 = 5
5² mod 31 = 25
(19³ mod 23)² mod 31 = 25
d) (89³ mod 79)⁴ mod 26
89³ mod 79 = 52
52⁴ mod 26 = 0
(89³ mod 79)⁴ mod 26 = 0
In conclusion, the modulus of a number gives the remainder as the value.
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