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Binary number

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Revision as of 18:25, 8 July 2011 by Cispyre (talk | changes) (straightened up the table)

The binary numeral system is a way to write numbers using only two digits: 0 and 1. These are used in computers as a series of "off" and "on" switches. In binary, each digit's place value is double than that of the next digit to the right; the place value of the rightmost digit being 1. Example-10110011

     1 = 1
     1 = 2
     0 = 4
     0 = 8
     1 = 16
     1 = 32
     0 = 64
     1 = 128

Here is a list of some numbers that can be made from these digits (zero is represented by a single "0"):

Decimal Binary Explanation
1 00001 0+0+0+0+1
2 00010 0+0+0+2+0
3 00011 0+0+0+2+1
4 00100 0+0+4+0+0
5 00101 0+0+4+0+1
6 00110 0+0+4+2+0
7 00111 0+0+4+2+1
8 01000 0+0+8+0+0
9 01001 0+8+0+0+1
10 01010 0+8+0+2+0
11 01011 0+8+0+2+1
12 01100 0+8+4+0+0
13 01101 0+8+4+0+1
14 01110 0+8+4+2+0
15 01111 0+8+4+2+1
16 10000 16+0+0+0+0
17 10001 16+0+0+0+1
18 10010 16+0+0+2+0
19 10011 16+0+0+2+1
20 10100 16+0+4+0+0
21 10101 16+0+4+0+1
22 10110 16+0+4+2+0
23 10111 16+0+4+2+1
24 11000 16+8+0+0+0
25 11001 16+8+0+0+1
26 11010 16+8+0+2+0
27 11011 16+8+0+2+1
28 11100 16+8+4+0+0
29 11101 16+8+4+0+1
30 11110 16+8+4+2+0
31 11111 16+8+4+2+1

Binary is a numbering system that is a series of 1s and 0s meaning (to the computers) on and off. It is base 2 and our number system (decimal) is base 10. Binary was invented by many people but is credited to Gottfried Leibniz, a German mathematician. The idea of binary was created in the 1600s. Binary has been used in nearly everything electronic; from calculators to supercomputers. Machine code are binary digits.

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