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Significant figures are specific digits within a number that carry both reliability and necessity in conveying a particular quantity. Learn how to identify, round, and use them in calculations with examples and rules.
First-order approximation is the term scientists use for a slightly better answer. [3] Some simplifying assumptions are made, and when a number is needed, an answer with only one significant figure is often given ("the town has 4 × 10 3, or four thousand, residents"). In the case of a first-order approximation, at least one number given is exact.
Learn how to write numbers in scientific notation, a way of expressing large or small numbers as m × 10 n, where n is an integer and m is a nonzero real number. Find out the history, advantages, and applications of scientific notation in science, math, and engineering.
Bit numbering is the convention used to identify the bit positions in a binary number. LSb stands for least significant bit, the bit position in a binary integer representing the binary 1s place of the integer. MSb stands for most significant bit, the highest-order bit of the binary integer.
Find first set (ffs) or find first one is a bit operation that finds the index of the least significant bit set to one in an unsigned word. Learn about the properties, relations, and implementations of ffs and related operations such as count trailing zeros (ctz) and log base 2 (lzcnt) in various CPU architectures and platforms.
With decimal arithmetic, final digits of 0 and 5 are avoided; if there is a choice between numbers with the least significant digit 0 or 1, 4 or 5, 5 or 6, 9 or 0, then the digit different from 0 or 5 shall be selected; otherwise, the choice is arbitrary. IBM defines that, in the latter case, a digit with the smaller magnitude shall be selected ...
Learn the meaning and usage of various mathematical symbols, such as +, -, ×, ·, ÷, and more. See examples, syntax, and Unicode and LaTeX versions of each symbol.
Lexicographic order is a generalization of the alphabetical order to sequences of symbols or elements of a totally ordered set. It has various applications in mathematics, such as ordering subsets, functions, groups, and permutations.