Operating instructions

3. Multiplication:
B.
Binarv to Decimal
Multiplication in octal can best be done by
using the table below.
Octal
X 1 2 3 I 4 5 6 7 10
1
4. Division:
As shown by the following example, the sub-
traction involved in division must be care-
fully checked against octal subtraction rules.
Octal
111. CONVERSION FROM ONE NUMBER SYSTEM TO
ANOTHER
A. Decimal to Binary
A decimal number is converted to a binary
number by repeated division by 2, using the
remainder as a binary digit. For example,
given decimal
37, find its binary equivalent.
0 remainder 1
2K remainder 0
2/2c remainder 0
I
2fi8 remainder 1
C
2fi remainder 1
2/91 remainder 0
Start + 2/57
here
The binary number 100101
is equal to decimal 37.
Reading down, the
re-
mainders give
the answer of
100101
The expansion method used in para-
graph IB of this Annex converts a binary
number to its decimal equivalent. This
method raises the base
2 to the proper
power and then multiplies by
0 or 1.
Given the binary number 100101, find
its decimal equivalent:
C. Decimal to Octal
A decimal number is converted to
an
octal number by repeated divisions by
8 using the remainder as the octal
digit. For example, given decimal 144,
find its octal equivalent.
0 remainder 2
I
8F remainder 2
Reading down, the
1
remainders give
8//18 remainder 0
the answer of 22 0
Start -D 8m4
here
Octal becomes 220, which is equal to
decimal 144.
D. Octal to Decimal
The expansion method used in para-
graph
IC of this Annex converts 2n
octal number to its decimal equivalert.
This method raises the base
8 to tlie
proper power and then multiplies 1)y
the appropriate octal digit.
Given the octal number 220, find its
decimal equivalent.
2 1 0
220- (2x8 ) + (2x8 ) + (0x8 )
E. Octal to Binary
Since the octal base 8 is the third
power of the binary base 2, each octal
digit can be written as three binary
digits. For example,
octal 220
= binary 010 010 000
octal
703= binary 111 000 011