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What is a bijective base system? A bijective base system is a numeral system where every non-negative integer can be represented with a unique string of digits, without using the digit zero. In a bijective base-n, the symbols are (1, 2, ..., n) where n would be representing the base number. Ex- Bijective Bas2 ---> (1, 2) Ex2- Bijective Bas11 ---> (1, 2, 3, 4, 5, 6, 7, 8, 9, A, B) The interesting part of a bijective system is that every number has a unique representation! Ex- Bijective Bas2 ---> (1, 2, 11, 12, 21, 22, 111, ...) See how every number has no zeroes? Although bijective bases aren't widely used, they have several practical applications across many fields! c2a
