"The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers."
The most commonly used number system, which is based on ten digits 0-9.
Binary System: A numbering system that only uses two digits, 0 and 1, to represent numbers.
Hexadecimal System: A numbering system that uses 16 digits, consisting of the numbers 0 to 9 and the letters A to F, to represent numbers.
Octal System: A numbering system that uses 8 digits, consisting of the numbers 0 to 7, to represent numbers.
Base 10: Also known as the decimal system, this is the numbering system that we use in our daily lives, which consists of 10 digits, 0 to 9.
Place value: The value of a digit in a number is determined by its position in the number.
Significant figures: The digits that are meaningful in a number, they do not include leading zeros.
Rounding: The process of approximating a number to a certain number of significant figures.
Addition and subtraction: The basic arithmetic operations that can be performed on numbers in any numbering system.
Multiplication and division: The advanced arithmetic operations that involve the multiplication and division of numbers in any numbering system.
Converting from decimal to other systems: The process of converting decimal numbers to binary, hexadecimal, octal, or other numbering systems.
Converting from other systems to decimal: The process of converting numbers in binary, hexadecimal, octal, or other numbering systems to decimal.
Binary arithmetic: The arithmetic operations that can be performed on binary numbers, including addition, subtraction, multiplication, and division.
Two's complement: A method of representing negative numbers in binary.
Floating-point representation: A method of representing real numbers in binary.
Error detection and correction: Techniques used to detect and correct errors that may occur during data transmission or storage.
Decimal system: The decimal system is the most widely used number system, where each digit represents a value from 0 to 9 and the positional value is decided by the place value of the digit.
Binary system: The binary system is a base-2 number system, in which only two digits are used – 0 and 1. Each digit represents a power of 2, and the positional value is decided by the place value of the digit.
Octal system: The octal system is a base-8 number system, where each digit represents a value from 0 to 7, and the positional value is decided by the place value of the digit.
Hexadecimal system: The hexadecimal system is a base-16 number system, where the digits range from 0 to 9 and then use letters A through F to represent values 10 to 15. The positional value is decided by the place value of the digit.
Duodecimal system: The duodecimal system is a base-12 number system, where each digit represents a value from 0 to 11, and the positional value is decided by the place value of the digit.
Vigesimal system: The vigesimal system is a base-20 number system, where each digit represents a value from 0 to 19, and the positional value is decided by the place value of the digit.
Quinary system: The quinary system is a base-5 number system, where each digit represents a value from 0 to 4, and the positional value is decided by the place value of the digit.
Senary system: The senary system is a base-6 number system, where each digit represents a value from 0 to 5, and the positional value is decided by the place value of the digit.
Trigesimal system: The trigesimal system is a base-30 number system, where each digit represents a value from 0 to 29, and the positional value is decided by the place value of the digit.
Base-36 system: The base-36 system is a base-36 number system, where the digits range from 0 to 9 and then use letters A through Z to represent values 10 to 35. The positional value is decided by the place value of the digit.
"It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system."
"The way of denoting numbers in the decimal system is often referred to as decimal notation."
"Decimals may sometimes be identified by a decimal separator (usually "." or "," as in 25.9703 or 3,1415)."
"Decimal may also refer specifically to the digits after the decimal separator, such as in '3.14 is the approximation of π to two decimals'."
"Zero-digits after a decimal separator serve the purpose of signifying the precision of a value."
"The numbers that may be represented in the decimal system are the decimal fractions."
"That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer."
"The decimal system has been extended to infinite decimals for representing any real number, by using an infinite sequence of digits after the decimal separator."
"In this context, the decimal numerals with a finite number of non-zero digits after the decimal separator are sometimes called terminating decimals."
"A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits."
"An infinite decimal represents a rational number, the quotient of two integers if and only if it is a repeating decimal or has a finite number of non-zero digits."
"The decimal numeral system (also called the base-ten positional numeral system and denary or decanary)."
"It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system."
"A decimal numeral (also often just decimal or, less correctly, decimal number), refers generally to the notation of a number in the decimal numeral system."
"Decimals may sometimes be identified by a decimal separator (usually "." or "," as in 25.9703 or 3,1415)."
"Zero-digits after a decimal separator serve the purpose of signifying the precision of a value."
"The numbers that may be represented in the decimal system are the decimal fractions."
"That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer."
"A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits."