Simple binary code chart

Simple binary code chart

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Article #1

hexadecimal numeral systemhex

Hexadecimal values[change | change source]

Example values of hexadecimal numbers converted into binary, octal and decimal.

Hex Binary Octal Decimal
5 101 5 5
6 110 6 6
7 111 7 7
8 1000 10 8
9 1001 11 9
A 1010 12 10
B 1011 13 11
C 1100 14 12
D 1101 15 13
E 1110 16 14
F 1111 17 15
10 1 0000 20 16
11 1 0001 21 17
24 10 0100 44 36
5E 101 1110 136 94
100 1 0000 0000 400 256
3E8 11 1110 1000 1750 1000
1000 1 0000 0000 0000 10000 4096
FACE 1111 1010 1100 1110 175316 64206

Conversion[change | change source]

Binary to hexadecimal[change | change source]

Changing a number from binary to hex uses a grouping method. The binary number is separated into groups of four digits starting from the right. These groups are then converted to hexadecimal digits as shown in the chart above for the hexadecimal numbers 0 through F. To change from hexadecimal, the reverse is done. The hex digits are each changed to binary and the grouping is usually removed.

Binary Groupings Hex
01100101 0110 0101 65
010010110110 0100 1011 0110 4B6
1101011101011010 1101 0111 0101 1010 D75A

Hexadecimal and decimal[change | change source]

To convert a number from hexadecimal to decimal, there are two common ways.

The first method is more commonly done when converting it manually:

  1. Use the decimal value for each hexadecimal digit. For 0-9, it is the same, but A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15.
  2. Keep a sum of the numbers converted at each step below.
  3. Start with the least significant hexadecimal digit. That is the digit on the right end. This will be the first item in a sum.
  4. Take the second-least significant digit. That is next to the digit on the right end. Multiply the decimal value of the digit by 16. Add this to the sum.
  5. Do the same for the third-least significant digit, but multiply it by 162 (that is, 16 squared, or 256). Add it to the sum.
  6. Continue for each digit, multiplying each place by another power of 16. (4096, 65536, etc.)
  Location
6 5 4 3 2 1
Value 1048576 (165) 65536 (164) 4096 (163) 256 (162) 16(161) 1 (160)
  1. Use the decimal value for each hexadecimal digit. For 0-9, it is the same, but A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15.
  2. Keep a sum of the numbers converted at each step below.
  3. Start with the most significant digit (the digit on the far left). This is the first item in the sum.
  4. If another digit exists, multiply the sum by 16 and add the decimal value of the next digit.
  5. Repeat the above step until there are no more digits.

Example:

 
5Fh to decimal
Hex Decimal
5Fh = ( 5 x 16 ) + ( 15 x 1 )
= 80 + 15
5Fh = 95
 
3425h to decimal
Hex Decimal
3425h = ( 3 x 4096 ) + ( 4 x 256 ) + ( 2 x 16) + ( 5 x 1 )
= 12288 + 1024 + 32 + 5
3425h = 13349

Example:

 
5Fh to decimal
Hex Decimal
sum = 5
= (5 x 16) + 15
sum = 80 + 15 (no more digits)
5Fh = 95
 
3425h to decimal
Hex Decimal
sum = 3
= (3 x 16) + 4 = 52
sum = (52 x 16) + 2 = 834
sum = (834 x 16) + 5 = 13349
3425h = 13349

Related pages[change | change source]

  • Binary numeral system
  • Octal numeral system
  • Decimal numeral system

Source: https://simple.wikipedia.org/wiki/Hexadecimal_numeral_system



Article #2

Hexadecimal Colors

Red, Green and Blue

RedGreenBlue

0 to 255 (in decimal) , or
00 to FF (in hexadecimal)


A color can be made by mixing Red, Green and Blue, so it is called the "RGB Color System".

It is also called an "Additive" color system, because it starts at black, and then color is added.

Color Mixer

Try mixing your own colors to see how it works (or type values into the hexadecimal or decimal boxes):

Interactive Color Wheel

Hexadecimals

16 Million Colors

Because each of the three colors can have values from 0 to 255 (256 possible values), there are:

256 × 256 × 256   = 2563
  = 16,777,216 possible color combinations

(and this is why you see claims of "16 Million Colors" on computer equipment)

Web Format

#RRGGBB

This may help you remember:

Some Common Colors


Color
Decimal
(Red, Green, Blue)
Hexadecimal
(#RRGGBB)
Black (0, 0, 0) #000000
White (255, 255, 255) #FFFFFF
Red (255, 0, 0) #FF0000
Green (0, 255, 0) #00FF00
Blue (0, 0, 255) #0000FF
Yellow (255, 255, 0) #FFFF00
Cyan (0, 255, 255) #00FFFF
Magenta (255, 0, 255) #FF00FF

Source: http://www.mathsisfun.com/hexadecimal-decimal-colors.html



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