Everything about Positional notation
Method for representing or encoding numbers
Positional notation, also known as place-value notation, is the property of a numeral system that the value represented by each symbol in a written numeral depends not only on its appearance but also on its position. Each symbol fits in a specific place or position, representing a power of a fixed base. The most common numeral system used today, the Hindu–Arabic numeral system, is a positional system in base ten; each of ten numerical digits is a distinct symbol representing one of the numbers zero through nine, and in the context of the full numeral, each symbol's value is the digit multiplied by a power of ten. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Positional notationA 5-minute orientation
- Pick up a classic book: Chess fundamentalsThe most-reprinted book on the subject
- Read the landmark paper: Aztec Arithmetic: Positional Notation and Area CalculationCited 20 times
- Go sideways: Binary numberA closely related topic
- Go sideways: Numeral systemA closely related topic
📖 Definitions
Noun A notation for numbers in which the value of a digit depends on its position in the string, examples of which include the decimal system and the binary system
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Aztec Arithmetic: Positional Notation and Area Calculation
Methods for Comparing Numbers in Non-Positional Notation of Residual Classes
Gergonne's Card Trick, Positional Notation, and Radix Sort
Polynomial Commitment in a Verkle Tree Based on a Non-Positional Polynomial Notation
The Inka Quipu: Positional Notation on a Knotted Cord
DOT-SEPARATED POSITIONAL NOTATION FOR GENERALISED BASE-N NUMBER SYSTEMS
High Speed Method of Conversion Numbers from Residue Number System to Positional Notation
📚 Books worth reading
Chess fundamentalsJosé Raúl Capablanca · 1921
Guitar for dummiesMark Phillips, Mark Phillips · 1998- 📕The scholar's guide to arithmeticPhinehas Merrill · 1793
Clean CodeRobert C. Martin · 2008
Bass guitar for dummiesPatrick Pfeiffer · 2009
Mathematical Methods in the Physical SciencesMary L. Boas, Mary Layne Boas · 1966
Discrete mathematicsNorman Biggs · 1985- 📕Higher algebraHenry Sinclair Hall · 1887
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Binary number A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols…
- Numeral system A numeral system is a writing system for expressing numbers without words; that is, a mathematical notation for representing numbers of a given set, using…
- Radix In a positional numeral system, the radix (pl. radices) or base is the number of unique digits, including the digit zero, used to represent numbers. For…
- Numerical digit A numerical digit (often shortened to just digit) is a single symbol used to represent numbers in positional notation, such as 0, 1, ..., 9 in the common…
- Octal Octal is a numeral system for representing a numeric value as base 8. Generally, an octal digit is represented as "0" to "7" with the same value as for…
- Non-standard positional numeral systems Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply…
- Hexadecimal Hexadecimal (or hex for short) is a positional numeral system for representing a numeric value as base 16. For the most common convention, a digit is represente…
- Decimal A decimal system (also called base-ten, denary or decenary) is a numeral system that uses ten as its radix (base). Decimal systems are the global standard…