Monday, April 16, 2012

find trailing zeros & its importance

How to find trailing zeros in factorial ?

Input : 6 = 2 * 3 * 4 * 5 = 120 = Trailing zeros = 1
Output : 1

For more detailed tutorial :
http://www.purplemath.com/modules/factzero.htm


#include <stdio.h>

void main()
{
long n =0;
long div = 5;
long sum = 0;

printf("Enter N! value:");
scanf("%ld",&n);

while(n >= div)
{
sum += n/div;
div *= 5;
}
printf(" Output is :%ld", sum);
}

Importance of finding the trailing zeros will be useful in floating
point representation.

It will be used to represent floating numbers
as 2 * (10 ^ 3)
mantissa: 2
exponent: 3

Same will be used to represent negative numbers in floating point
representation;

2 * (10 ^ -3)

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