Last Updated：2025/12/31
Sentence
To
octavate
the
number
one
hundred
the
reasoning
is
as
follows.
The
square
of
eight
goes
into
one
hundred
once
with
remainder
thirty-six.
This
remainder
contains
eight
to
the
first
power
four
times
with
remainder
four.
Hence
to
express
one
hundred
to
the
base
8
we
write
the
digits
144
which
in
somewhat
longer
form
may
be
put
as
100
=
1×8²
+
4×8
+
4.
Quizzes for review
To octavate the number one hundred the reasoning is as follows. The square of eight goes into one hundred once with remainder thirty-six. This remainder contains eight to the first power four times with remainder four. Hence to express one hundred to the base 8 we write the digits 144 which in somewhat longer form may be put as 100 = 1×8² + 4×8 + 4.
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