Base 2 (Binary - Pitney Bowes FastPac DI900 Manuallines

Base Code
Theory
✍
TIP: Other than base
10 (decimal), the most
common number base
used today is Base
2 (binary). Base 2 is
the numbering system
used in digital com-
puting. All software
instructions are ulti-
mately converted to
binary format.
✍
TIP: When OMR
marks are scanned
(referred to as a
"bit"), each mark is
converted to a "0"
or a "1" and, hence,
uses the binary num-
bering system. There-
fore, the maximum
counting value with
OMR symbology is
relatively small before
it needs to repeat.
SV61314 Rev. A
Base 2 (Binary Number System)
The binary number system uses base 2, so the place values of the bits of a
binary number correspond to powers of 2.
Base 2 (Binary) Number System
4rth Bit
2x2x2x2
(2 to 4rth
power)
8's
Maximum
Count Value
(Maximum
Number
Positions)
The table below shows how counting to 9 (10 number positions) in Base 2 is
achieved.
Decimal 0
8's
position
4's
position
Binary
2's
position
1's
position
Binary 0000 0001 0010
(Written Out)
Base Code Theory • Appendix A
3rd Bit 2nd Bit
2x2x2 2 x2
(2 to 3rd (2 to 2nd
power) power)
4's 2's
0 0 0
1 1 1
0-7
(8)
0-15
(16)
Binary Counting to 9 (10 positions)
1 2 3
X X
X X
0011
1st Bit
2
(2 to 1st
power)
1's
0
1
0-1
(2)
0-3
(4)
4 5 6 7
X X X X
X X
X X
0100 0101 0110 0111
8 9
X X
X
1000 1001
A-3