Diminished radix complement

English

Noun

1. The number which, added to the given n-digit number in radix r, results in $r^n-1$. In binary ($r=2$), this is the ones' complement; in decimal ($r=10$), this is the nines' complement.

   The diminished radix complement of $01100101_2$ is $10011010_2$.

   The diminished radix complement of $138053_{10}$ is $861946_{10}$.

   The diminished radix complement of $0423102_5$ is $4021342_5$.

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