Binary numbering system
The logic of George Boole
George Boole was an English mathematician that developed the Boolean Algebra, which logic allows only do operations in two digits or in two states (yes and not, true and false,1 or 0, on and off). The given information could be kept save in the medias, hard disks, etc.
What is binary?
The binary is a system that uses only two numbers, the base of the binary system is 2 (base two). The binary system is used in computers. Ours is a lot different than the binary, beginning of its base, which base is 2 (two), ours is 10 (ten) . The decimal numbering system is used anywhere else, but binary only in computers.
Hexadecimal base
Since its advent, microprocessors used binary words of manipulated data that were multiple of NIBBLE.
The hexadecimal base (16) - the largest numerical value could be attributed to a NIBBLE that was the number 16. This way we have the binary value, the decimal value and the hexadecimal value.
And the hexadecimal base uses letters B C D AND F, numbers 1 2 3 4 5 6 7 8 9.
The binary, the decimal and the hexadecimal
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Decimal value
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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Binary value
000; 0001; 0010; 0011; 0100; 0101; 0110; 0111; 1000; 1001; 1010; 1011; 1100; 1101; 1110; 1111.
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Hexadecimal value
1 2 3 4 5 6 7 8 9 A B C D E F
The binary numbering system
Digital computers work with two types of tension, its working system is based on the binary system (on, off). It is based on two numbers, the binary digits (0,1). The Binary Digit means in English a calculation of the logic of George Boole, where a grouping of 8 bits corresponds to a BYTE (Binary Term), a grouping of 4 bits is called NIBLLE, a grouping of 16 bits is WORD, one of 32 is DOUBLE WORD, one of 64 is called QUAD WORD
From decimal to binary
We take for instance the 12
12:2= 6
rest: 0
6:2= 3
rest: 0
3:2= 1
rest: 1
It results from the back to the front: 1100
To calculate in the binary numbering system we take a number and divide it through the base (2), the result divided per two, and so on until it is no longer dividable. Then you write the obtained number backwards. As in the above calculation the result is 1100.