   Chapter 8.4, Problem 15ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Use the result of exercise 14 an d the technique of Example 8.4.5 to find 1427mod 55.

To determine

To calculate:

The value of 1427(mod55).

Explanation

Given information:

The given expression is 1427(mod55).

Formula used:

Division algorithm:

Let a be an integer and d be a positive integer. Then, there are unique integers qandr with 0r<d such that a=dq+r, here, q is the quotient and r is the remainder.

Know that the technique is xm(mody)=[x(mody)]m(mody)

Calculation:

Its known that, the value of 142(mod55),144(mod55),148(mod55)and1416(mod55) is 31,26,16and36 respectively.

Write the 27 as a sum of powers of 2.

27=24+23+21+20=16+8+2+1

Find the value of 1427(mod55)

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