This is first work if its kind. It brings representations of natural numbers from 0 to 5000 written in terms of single digit “a”.  It is in such a way that if we replace a by 1 to 9, it always remains the same. To bring these results only basic operations, such as, additionsubtractionmultiplication and division are used. The idea potentiation  is used in different aspects. See below some examples and links for download the work.

SD3
SD4

Link for download:
(i) Paper – I
(ii) Paper-II (revised)

Revised Versions:

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