PURE BINARY NUMERATION SYSTEM Meaning and
Definition
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The pure binary numeration system is a numbering system used in mathematics and computer science, specifically in the field of digital electronics. It is a numeral system or base-2 system, where numbers are represented using only two symbols: 0 and 1.
In the pure binary numeration system, each digit or position in a number represents a power of 2. The value of each digit is determined by multiplying the symbol (0 or 1) by the corresponding power of 2. The rightmost position represents 2^0 (1), the next position to the left represents 2^1 (2), then 2^2 (4), and so on. Each position can only have a value of 0 or 1, and the positions to the left have higher powers of 2.
For example, the number 10110 in pure binary represents the sum of the values of its positions: (1 x 2^4) + (0 x 2^3) + (1 x 2^2) + (1 x 2^1) + (0 x 2^0) = 16 + 4 + 2 = 22.
The pure binary numeration system is the foundation of all digital systems and computer programming. It is used in storing and processing data in electronic devices, as they are built upon circuits that can only represent two states, on and off (or 0 and 1). This binary system allows for the development and manipulation of complex algorithms and computations, forming the basis of modern computing technology.
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