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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