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Find each of these values.a) (177 mod 31 + 270 mod 31) mod
Chapter 4, Problem 30E(choose chapter or problem)
QUESTION:
Problem 30E
Find each of these values.
a) (177 mod 31 + 270 mod 31) mod 31
b) (177 mod 31 · 270 mod 31) mod 31
Questions & Answers
QUESTION:
Problem 30E
Find each of these values.
a) (177 mod 31 + 270 mod 31) mod 31
b) (177 mod 31 · 270 mod 31) mod 31
ANSWER:
Solution:
Step 1
Here, in this problem we have to find values of addition of two modulus.
To calculate the values, either we can calculate individually and add or we can use formula which states that, if a and b be integers and m be a positive integer.
then,
.
and
Step2
a) (177 mod 31 + 270 mod 31) mod 31
Here, we have a = 177, b = 270 and