zero through fifteen: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F sixteen through thirty-two: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1A, 1B, 1C, 1D, 1E, 1F, 20
Another term for “base” is “radix” (pluralized “radixes” or “radices”).
10010 = 1 10110 = 1010 102 = 10x10 = 100 103 = 10x10x10 = 1000 104 = 10x10x10x10 = 10000 105 = 10x10x10x10x10 = 100000 & so on.
16010 = 1 16110 = 1610 162=16x16=256 163=16x16x16=4096 164=16x16x16x16=65536 165=16x16x16x16x16=1048576 & so on. If we write these in hexadecimal, these would instead be written as 1016, 100, 1000, etc.
Write out your hexadecimal number: 15B3016 Write each digit out as a decimal multiplication problem, using the place value in the chart above: 15B30 = (1 x 6553610) + (5 x 409610) + (B x 25610) + (3 x 1610) + (0 x 1) Convert non-decimal symbols into decimal numbers. In our example, B = 1110, so that digit can be converted to 1110 x 25610 Solve the problem. Use a calculator or work it out by hand, and you’ll get the answer in decimal. 15B30 = 65536 + 20480 + 2816 + 48 + 0 = 8888010
This doesn’t match the “primary” colors you learned in school, because that color system is based on physical pigment (like paint), not light. The paint system is sometimes called “subtractive color system” and the light system (the RGB system described here) “additive. "
The subscript numbers tell you which base the numbers is written in. Base2 is binary, base10 is ordinary decimal, and base16 is hexadecimal.
#FFFFFF is white, while #000000 is black. Any color with equal r, g, and b values (besides black and white) is a shade of grey, such as #121212, #5A5A5A, or #C0C0C0 #003000 is a very dark green. #003F00 is barely any lighter (you’ve only added F, or 1610 green), but #00FF00 is the brightest possible green (adding an additional C0, or 19210). More complex colors are created by using all three types of light. Try to guess #7FFFD4, #8A2BE2, or #A0522D.
Humans have A fingers, or 1416 if you count the toes too. (Remember, the subscript 16 means a number is written in base sixteen. ) In a residential area, drive below 1916 miles per hour (or 2816 kilometers per hour). A typical highway driving speed is 3C mph (or 6416 kph). Water boils at D4 ºFahrenheit (6416 º Celsius). The median U. S. income is roughly C350 dollars a year. The population of the world is over 1A0,000,000.
Count up one by one, using hexadecimal digits. For instance to solve 7+5 in hex, count 7, 8, 9, A, B, C. Learn the addition tables. A much faster method is to memorize the hexadecimal addition tables, which you can practice with an online quiz. [9] X Research source Once you know that A + 7 = 1116, you don’t have to laboriously count it out any more. Carry the one when needed. If your addition gets you past F, you “carry the one” as you would in a normal addition problem. For example, A+5 = F, A+6 = 1016, A+7 = 1116, and so on. Similarly, 3A+6 = 4016, 3A+7 = 4116, etc.
6 x 1 = 6 6 x 2 = C 6 x 3 = 12 6 x 4 = 18 6 x 5 = 1E 6 x 6 = 24 6 x 7 = 2A 6 x 8 = 30 6 x 9 = 36 6 x A = 3C 6 x B = 42 6 x C = 48 6 x D = 4E 6 x E = 54 6 x F = 5A
