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How many of the first 1000 positive integers contain only 0s and 1s when
written in base 3?

Sagot :

MrRoyal

There are 105 numbers in the  the first 1000 positive integers contain only 0s and 1s when written in base 3

How to determine the count of the numbers?

The number base is given as:

Base 3

To determine the count of numbers, we make use of the following Python program

count = 0

for n in range(1,1001):

   digits = []

   while n:

       digits.append(int(n % 3))

       n //= 3

   myStr = ''.join(map(str,digits[::-1]))

   if(myStr.count('0')+myStr.count('1') == len(myStr)):

       count+=1

print(count)

The above program counts the numbers in the  the first 1000 positive integers contain only 0s and 1s when written in base 3

The output of the program is 105

Hence, there are 105 numbers in the  the first 1000 positive integers contain only 0s and 1s when written in base 3

Read more about number base at:

https://brainly.com/question/8649831

#SPJ1

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