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Binary
is the numerical system, used entirely and almost
exclusively by computers, which uses only patterns of zeros
and ones to represent any number, or any information
whatsoever, for that matter. The binary system is also
referred to as 'base 2', because it uses a base number of 2.
In other words, only two different numbers are used in this
numerical system (zero and one). The way we humans count,
the decimal system, is based on the number 10; ten is the
base number.
Hexadecimal
is the numerical system, also used by computers, which uses
combinations of letters and numbers such as 5CCF78 or D35266
to represent various numbers, color combinations, etc.
"Hex", as it's often referred to, is also used to describe
colors used on internet web pages. For that reason, many
people building their own web sites have recently learned
about it. Hex is what is known as a base 16 number;
hexadecimal numbers go from 0 to F before they need to add
another column. Our common 'decimal' system goes from 0 to 9
before needing to add a column. It could be said that each
column in a hex number represents the number of columns to
the 16th power. (In decimal, each column represents a power
of 10.)