The binary notation a method of representing numbers that employ a base (radix) of 2; therefore, there are only two possible values (0 and 1). Binary notation differs from the notation systems people prefer; these have bases of 10 (decimal numbers), 12 (measurements in feet and inches), or 60 (minutes and hours).

Binary notation shares one characteristic in common with more familiar notation systems: it is a positional notation system with place values. In decimal notation, each position represents an order of magnitude (1 =10° 10 = 10 ‘, 100=102, and so on). The same is true of decimal notation, except that the orders of magnitude are squares of 2, not 10 (0 = 2″, 10 [2 in decimal] = 2′, 100 [4 in decimal] = 22, 1000 [8 in decimal] = 23, and so on). Binary notation is preferred for computers for precision and economy. See base, base 2, and decimal notation.

### Technipages Explains Binary Notation

Binary is a base-2 number system, which adopts the use of two digits (0 & 1). It is a system used at the crux of all digital computers, enabling them to encode information, perform arithmetic operations, and carry out logical control processes.

The modern binary notation system was studied in Europe in the 16th and 17th centuries by Thomas Harriot, Juan Caramuel Lobkowitz, and Gottfried Leibniz. However, methods related to binary numbers have appeared earlier in multiple cultures, including ancient Egypt, China, and India.

Using two digits as opposed to, say, the familiar ten digits used in decimal systems (0 to 9) enables hardware to be easily implemented via a simple ‘on’ or ‘off’ circuit states or logic gates. This is the basis for all digital systems.

To understand binary values imagine each digit (or ‘bit’) of the binary notation as representing an increasing power of 2 – with the rightmost digit representing 2^{0}, the next representing 2^{1}, then 2^{2} and so on.

For each bit, the 1 or 0 signifies whether the value of the increasing power of two summates towards the number’s total.

### Common Uses of Binary Notation

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### Common Misuses of Binary Notation

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