DIMINISHEDRADIXCOMPLEMENT

diminished radix complement

Noun

  1. The number which, added to the given n-digit number in radix r, results in <math>r^n - 1</math>. In binary (<math>r=2</math>), this is the ones' complement; in decimal (<math>r=10</math>), this is the nines' complement.
    The diminished radix complement of <math>01100101_2</math> is <math>10011010_2</math>.
    The diminished radix complement of <math>138053_{10}</math> is <math>861946_{10}</math>.
    The diminished radix complement of <math>0423102_5</math> is <math>4021342_5</math>.


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