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Definition 2024

diminished_radix_complement

diminished radix complement

English

Noun

diminished radix complement ‎(plural diminished radix complements)

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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