Fifty power double itself

Computer Science Level 2

Find the number of times the digit 0 0 appears in the number 5 0 100 50^{100} .


The answer is 112.

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Arpit MIshra by Arpit MIshra , 21, India

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4 solutions

Brock Brown
May 10, 2015

Python 2.7: 

1
 
print str(50**100).count('0')

6 Helpful 0 Interesting 0 Brilliant 0 Confused
Arulx Z
May 15, 2015 
1
2
 
String n = new BigInteger("50").pow(100).toString();
System.out.println(n.length() - n.replace("0","").length());

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Well, I did it with one line of Mathematica code :-

DigitCount[ 5 0 100 , 10 , 0 50^{100}, 10, 0 ]

Note :-

DigitCount[n, b, d] gives the number of d digits in the base b representation of n.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

1 0 100 10^{100} have 100 zero and 5 100 5^{100} have 12 zero digit

0 Helpful 0 Interesting 0 Brilliant 0 Confused

How you calculate number of 0's in 5^100...??

jitendra bafna - 5 years, 1 month ago

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