diminished radix complement
التعريفات والمعاني
== 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
{\displaystyle r^{n}-1}
. In binary (
r
=
2
{\displaystyle r=2}
), this is the ones' complement; in decimal (
r
=
10
{\displaystyle r=10}
), this is the nines' complement.
The diminished radix complement of
01100101
2
{\displaystyle 01100101_{2}}
is
10011010
2
{\displaystyle 10011010_{2}}
.
The diminished radix complement of
138053
10
{\displaystyle 138053_{10}}
is
861946
10
{\displaystyle 861946_{10}}
.
The diminished radix complement of
0423102
5
{\displaystyle 0423102_{5}}
is
4021342
5
{\displaystyle 4021342_{5}}
.
==== Related terms ====
complement
radix complement