Binary number
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.