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Base 10
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Base 2
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This page is the introduction to numbers. To start off, we will start out by doing basic counting in binary. To do this, we start counting like we would in base 10, by using 0. Then, the next number would be 1. But then, we've ran out of symbols to use(because binary uses only 1s and 0s). So, we have to make a new place for digits to be put into. Just like decimal, you start the next placeholder with a 1, followed by 0s. For example, in base 10, you have 1,10,100,1000,10000, and so on. So, the next number in binary after 1, would be 10. So you can discover how to count in binary "on your own" I've made this nice table of Base 10 vs. Base 2 values.
Once you understand how counting in binary works, you can count up as high as you want to, provided you have ample amounts of free time, paper, and don't easily get writers cramp after a couple of three hours of writing.
One thing you may notice, is that every time the binary number is a 1, followed all by zeros(1, 10, 100, 1000, etc) that the value of it in binary doubles(1, 2, 4, 8, 16 respectively). This is because binary is base 2. So, in order to find the value of the place holders for the binary number system, in the decimal system, all you need is this: d= 2^x where d=decimal value, and x equals the amount of bits in the binary number. More on converting binary to decimal will be on other pages.
Now, you may be wondering...What about negatives, and decimal values of binary? Well, they don't exist. In the binary world, a 1 represents +5 volts, and a 0 represents +0 volts. So, in essence, the binary number has to be either a 1, or a 0, because there is either a presence of voltage, or there isn't one. And it's that simple. So, there isn't room for negatives, and decimals are only in the decimal system anywho(base 10).
Notes about the binary system:
- Placeholders are denoted by the powers of 2
- No negatives, no decimal values(.5, .7, etc.)
- 1 is On, and represents +5 volts
- 0 is Off, and represents +0 volts
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