Show that if a is an integer and d is an integer greater

Chapter 4, Problem 18E

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QUESTION:

Problem 18E

Show that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a - d[a/d], respectively.

Questions & Answers

QUESTION:

Problem 18E

Show that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a - d[a/d], respectively.

ANSWER:

Solution:

Step 1 :

In the theorem (2) of the division algorithm states that “let  be an integer  a positive integer then there are unique integer q and r with  such that ”.

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