EBK DATA STRUCTURES AND ALGORITHMS IN C
EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Chapter 5, Problem 1E

Explanation of Solution

Definition of natural numbers with leading zeros:

From definition of natural number given in the text book, the natural number “n” can be,

n0|n1|n2|...|n9

Where, “n” can be any numbers 0|1|...|9

Therefore, natural number can be a number with any number of leading zeros.

To get natural number with non leading zeros, modify the definition as following.

Definition of natural numbers with non leading zeros:

n::=0|1|...|9|1m|...|9mm::=0|1|...|9|0m|1m|...|9m

Number “n” can be:

0|1|...|9

Or,

1m|2m|...|9m

  • Where, “m” can be any natural number. Therefore, “n” can be “0” and all natural numbers with non leading zeros.
  • This is because of the recursion definition of “n” does not staring with “0”. It is starting with 1, 2, 9.

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