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PUZZLET 214

Self-Descriptive Numbers

Self-descriptive numbers work like this:  The base in which the number is set equals the number of digits in the number. The digit in the leftmost position (MSD) of an integer must indicate how many zeroes the integer contains.  The next digit to it must indicate how many 1's are contained withing the number, etc.

Example: 1210, the smallest possible.  The 1st digit indicates one zero is contained. The 2nd digit indicates two ones, the 3rd digit shows that one two included, etc.  This is a base four number, as it contains 4 digits.

Find at least two more of these Self-descriptive numbers.



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Last Updated: March 28th, 2010.