NAME

bin_dec_hex - How to use binary, decimal, and hexadecimal notation.

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DESCRIPTION

Most people use the decimal numbering system. This system uses ten symbols to represent numbers. When those ten symbols are used up, they start all over again and increment the position to the left. The digit 0 is only shown if it is the only symbol in the sequence, or if it is not the first one.

If this sounds cryptic to you, this is what I've just said in numbers:

     0
     1
     2
     3
     4
     5
     6
     7
     8
     9
    10
    11
    12
    13

and so on.

Each time the digit nine is incremented, it is reset to 0 and the position before (to the left) is incremented (from 0 to 1). Then number 9 can be seen as ``00009'' and when we should increment 9, we reset it to zero and increment the digit just before the 9 so the number becomes ``00010''. Leading zeros we don't write except if it is the only digit (number 0). And of course, we write zeros if they occur anywhere inside or at the end of a number:

 "00010" -> " 0010" -> " 010" -> "  10", but not "  1 ".

This was pretty basic, you already knew this. Why did I tell it? Well, computers usually do not represent numbers with 10 different digits. They only use two different symbols, namely ``0'' and ``1''. Apply the same rules to this set of digits and you get the binary numbering system:

     0
     1
    10
    11
   100
   101
   110
   111
  1000
  1001
  1010
  1011
  1100
  1101

and so on.

If you count the number of rows, you'll see that these are again 14 different numbers. The numbers are the same and mean the same as in the first list, we just used a different representation. This means that you have to know the representation used, or as it is called the numbering system or base. Normally, if we do not explicitly specify the numbering system used, we implicitly use the decimal system. If we want to use any other numbering system, we'll have to make that clear. There are a few widely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One common form is to write 1010(2) which means that you wrote down a number in its binary representation. It is the number ten. If you would write 1010 without specifying the base, the number is interpreted as oneely adopted methods to do so. One com