diminished radix complement

English

Noun

diminished radix complement (plural diminished radix complements)

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 $4021342_{5}$.

Related terms

• complement
• radix complement