BBS: Inland Empire Archive
Date: 03-27-93 (19:40) Number: 355
From: EARL MONTGOMERY Refer#: NONE
To: ALL Recvd: NO
Subj: HEX-BIN.DOC Conf: (2) Quik_Bas
Part I of II
8<------8<--------8<-------8<---- Snip
While refreshing my memory on Hexadecimal and Binary notations
(and the use of the logical operators <AND> <OR>, I found that
it helped to take notes. This is a compilation of those notes.
Some phrasing is entirely my own. So if you find any mistakes
(other than grammar, sentence structure, or spelling! <smile>)
please inform me so I can correct my document file. This
document should prove useful to the new programmers.
A little info on Hexadecimal notation.
Hexadecimal is a numbering system based on 16 elements.
Digits are numbered 0 through F as follows:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
Representing the digits 0 through 15.
Hexadecimal system uses powers of 16. For example:
&H19 (hexadecimal) represents 25 decimal. Let's see why.
Starting from the right the power is 1. Therefore 9 X 1 = 9
Moving left the next is power is 16. Therefore 1 X 16 = 16
And 9 + 16 = 25.
Let's try another. This time &HFF (hexadecimal)
Again starting from the right (F=15) 15 X 1= 15
Moving left 15 X 16 = 240.
And 240 + 15 = 255
So far we have looked at single byte hex values. Let's look at
a 16 bit hex value. Remember 8 bits to the byte? Now we look at
two adjoining bytes, or sixteen bits.
&H1902 (hexadecimal) represents 6402 decimal.
Again starting from the right 2 X 1= 2
Moving left 0 X 16 = 0
Moving left again <16 X 16 =256> 9 X 256 = 2304
Moving left again <16 X 256 = 4096> 1 X 4096 = 4096
And 2 + 0 + 2304 + 4096 = 6402
In basic hex values are preceeded by &H. For example &HFF or &H1902
In basic hex values can be determined by the command PRINT &HFF
or PRINT &H1902.
Decimal to hex is accomplished by PRINT HEX$(255)
or PRINT HEX$(1902).
Now let's look at the individual bits within a byte.
Remember there are 8 bits to the byte and reading from Right
to Left they increase in power by the power of 2.
Binary notation reflects set bits with a 1. Non set bits with a 0.
Let's look at one.
1 0 0 0 1 0 0 1 (This byte represents 137)
As with hex we start at the right.
1 X 1= 1
Moving left 2 X 0 = 0
Moving left again 4 X 0 = 0
>>>>>>> Continued on next message >>>>>>>
--- Maximus 2.01wb
* Origin: Rabbit and Snake's BBS - Richardson, Texas (1:124/6108)
