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A ternary / ˈtɜːrnəri / numeral system (also called base 3 or trinary[ 1 ]) has three as its base. Analogous to a bit, a ternary digit is a trit (tri nary dig it). One trit is equivalent to log 2 3 (about 1.58496) bits of information. Although ternary most often refers to a system in which the three digits are all non–negative numbers ...
Definition. [edit] The factorial number system is a mixed radix numeral system: the i -th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i− 1)! (its place value).
Computer number format. A computer number format is the internal representation of numeric values in digital device hardware and software, such as in programmable computers and calculators. [ 1 ] Numerical values are stored as groupings of bits, such as bytes and words. The encoding between numerical values and bit patterns is chosen for ...
In addition, it supports arbitrary-precision floating-point numbers, bigfloats. 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.
Decimal floating point. Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal (base-10) fractions can avoid the rounding errors that otherwise typically occur when converting between decimal fractions (common in human-entered data, such as ...
Therefore, a word of n bytes can contain up to (2n)−1 decimal digits, which is always an odd number of digits. A decimal number with d digits requires 1 / 2 (d+1) bytes of storage space. For example, a 4-byte (32-bit) word can hold seven decimal digits plus a sign and can represent values ranging from ±9,999,999.
Balanced ternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which the digits have the values −1, 0, and 1. This stands in contrast to the standard (unbalanced) ternary system, in which digits have values 0, 1 and 2. The balanced ternary system can represent ...
A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the six-digit number 142857, whose first six integer multiples are. 142857 × 1 = 142857. 142857 × 2 = 285714. 142857 × 3 = 428571. 142857 × 4 = 571428. 142857 × 5 = 714285.