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As humans we have a total of 10 fingers (5 fingers on each hand). So it's only natural that our counting system is based on groups of 10. Now just imagine for a moment that humans only had 2 fingers. Would a counting system with the group of 10 be logical? Probably not. And this is the exact predicament we have with computers.
All computers are created with 2 fingers, but we refer to them as switches. They can only be in one of 2 positions: on or off. When you enter a dark room you turn the light switch on, doing so changes the switch from 0 (off) to 1 (on). This is how a computer counts.
And now it gets complicated...
Each column in our number system represents a grouping of 10. The number 13 is made of 2 parts: 10+3. Meanwhile 113 is actually 100+10+3.
In binary it's a little different (but the principle is the same). We just substitute 10 with 2. Instead of 10 we have 2, instead of 100 we have 4. So the number 3 is 11 in binary (2+1). The number 6 in binary is 110 (4+2+0).
With this in mind, take a look at the following which outlines the calculations needed to count to 31 in binary.
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| Jack Brown commented on February 4, 2008
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You learn something new every day!
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| alex peek commented on November 3, 2008
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DUDE!!!!!
thank you
like no joke!!!!!
i cant do math at all , this helped me lots like i can do my homework now
lol
thank you!!!
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| Flüge commented on December 15, 2008
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I have never been the best in mathmatics, but the explanation of binary is very easy to understand. Someone who is interested in computer languages gets a nice introduction in this complex theme.
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| moveis commented on August 9, 2009
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Very good
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| Selly commented on August 27, 2009
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Look here!
www.binaryplayingcards.com/
www.cartebinarie.it/
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| REBECCA33 commented on December 30, 2009
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Just for fun
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| Auto commented on January 6, 2010
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good explanation!
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| Randa commented on February 24, 2010
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i like how u explain it all using that 10 = 2, 100 =4, 1000= 8 and so on.
I understand it better now, thnx.
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| business loans commented on March 29, 2010
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Just for fun
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| home loans commented on July 31, 2010
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Just for fun
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