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Arbitrary precision. v. t. e. In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are potentially limited only by the available memory of the host system.
Large numbers. Large numbers are numbers significantly larger than those typically used in everyday life (for instance in simple counting or in monetary transactions), appearing frequently in fields such as mathematics, cosmology, cryptography, and statistical mechanics.
Properties. A googol is approximately 70! ( factorial of 70). [a] Using an integral, binary numeral system, one would need 333 bits to represent a googol, i.e., 1 googol = ≈ 2 332.19280949. However, a googol is well within the maximum bounds of an IEEE 754 double-precision floating point type, but without full precision in the mantissa.
Maple, Mathematica, and several other computer algebra software include arbitrary-precision arithmetic. Mathematica employs GMP for approximate number computation. PARI/GP, an open source computer algebra system that supports arbitrary precision. Qalculate!, an open-source free software arbitrary precision calculator with autocomplete.
In pure mathematics, there are several notational methods for representing large numbers by which the magnitude of a googolplex could be represented, such as tetration, hyperoperation, Knuth's up-arrow notation, Steinhaus–Moser notation, or Conway chained arrow notation. In the physical universe
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