Perform the modular arithmetic.(19 − 8) text{mod} 7

Jason Farmer 2021-02-08 Answered

Perform the modular arithmetic.
\((19 − 8) \mod 7\)

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Expert Answer

Dora
Answered 2021-02-09 Author has 17426 answers

Step 1
Introduction of arithmetic modular: - Let 4, B and R be an integers then an arithmetic modular can be defined as (A)mod \(B=R\)
Where, \(A =\) divident
\(B =\) divisor
\(R=\) remainder
Step 2
Given that \((19-8) \mod 7\)
It can be wriiten as
\((19-8) \mod 7 = (11) \mod 7\)
\(\text{Since} \frac{11}{7} =4\)
\(\text{Therefore}, (11)\mod 7 =4\)
Hence,
\((19 - 8)\mod 7 =4\)

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