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# The base for the hexadecimal system?

###### Wiki User

###### September 16, 2007 9:39PM

sixteen

## Related Questions

###### Asked in Numbers

### What are hexadecimal numbers?

###### Asked in Computer Worms, Math and Arithmetic, Numbers

### Why you convert binary number system to hexadecimal number system?

The hexadecimal system is a base 16 system, just as binary is
base 2 and decimal is base 10. The same way that a binary system is
more practical for hardware and software implications, hexadecimal
is great for easy viewing of binary numbers. It's a lot easier, in
the opinion of most, to look at 1FE4 than it is to get the same
information as quickly from 0001111111100100. Hexadecimal numbers
can also be easily converted to the seven segment display commonly
used on electric signs and scoreboards to display numbers and some
letters.

###### Asked in Math and Arithmetic, Algebra, Numbers

### Is it true hexadecimal numbers operate on a base- 10 number system?

It is only true in the sense that any numeric base, expressed in
that base, is represented with the symbol "10".
Confusing? Let's clarify that.
Hexadecimal numbers use sixteen as the base. But how do you
express the value sixteen in hexadecimal? Quite easy, it would be
written as "10". The same is true in any other base. For example,
in binary (base two), the value two is expressed as "10". In octal
(base eight), the value eight is expressed as "10". In decimal (our
familiar base ten), the value ten is expressed as "10". No matter
what base you work in, the base itself will always be expressed as
"10".
That however is not the same thing as saying that hexadecimal
numbers are based on the number ten. That is incorrect. Hexadecimal
numbers use the base sixteen.

###### Asked in Computers

### What is hexadecimal base 32?

###### Asked in Computers

### What is the purpose of the hexadecimal numbering system?

Hexadecimal is simply short-hand for binary numbers. Because
hexadecimal is base 16 or 24 , every 4 binary bits can be expressed
as a single hexadecimal character. For example, 1110 is E in
hexadecimal and 1111 0011 1000 1010 is written as F38A in
hexadecimal. Writing memory addresses, binary code, or IP addresses
in hexadecimal results in number which has 75% less characters.
The hexadecimal system uses sixteen distinct symbols, most often
the symbols 0-9 to represent values zero to nine, and A, B, C, D,
E, F to represent values ten to fifteen. When dealing with large
values the hexadecimal system solves this problem and it is simple
to convert a hex digits into a binary digits.

###### Asked in Computers

### What are positional muber system?

I think you meant positional number system or Positional
Notation. In computer science when we talk about positional
notation where talking about the binary(base 2) and
hexadecimal(base 16) system.
So for the most part a positional number system is a counting
system. We for example use a base 10 counting system.

###### Asked in Numbers

### What is the hexadecimal for AF?

###### Asked in Computers, Numbers

### What is the hexadecimal number system?

Hexadecimal number system is a number sytem with a Base of 16.
The 'regular' system which we use every day is base-ten (decimal),
with the digits 0-9.
Having a base 16 system makes it easier to represent values of
computer memory, as computers deal in binary (base 2), where every
value is either one or zero (on or off).
With hexadecimal, the digit values range from zero to fifteen,
so symbols are needed to represent ten, eleven, ... fifteen as
single digits. The letters A through F were chosen, so:
A represents ten
B = eleven
C = twelve
D = thirteen
E = fourteen
F = fifteen