"A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form."
A symbol that separates the whole part of a number from the fractional part in a number system.
Decimal Number System: The decimal number system is the most widely used number system in the world. It is also called the base-10 number system, where each digit can have 10 possible values, ranging from 0 to 9.
Binary Number System: The binary number system is a base-2 number system, which means each digit can have only two possible values – 0 and 1. It is commonly used in computer science and electronics.
Octal Number System: The octal number system is a base-8 number system, which means each digit can have eight possible values, ranging from 0 to 7. It is often used in computing applications.
Hexadecimal Number System: The hexadecimal number system is a base-16 number system, which means each digit can have 16 possible values, ranging from 0 to 15. It is commonly used in computer programming and digital electronics.
Radix Point: The radix point is a symbol used to separate the integer part of a number from its fractional part. It is commonly represented as a decimal point in the decimal number system, a binary point in the binary number system, and a hexadecimal point in the hexadecimal number system.
Conversion between Number Systems: Converting numbers from one number system to another can be done using a variety of methods, including converting through the decimal number system or using the division method.
Addition and Subtraction in Different Number Systems: The algorithms used for addition and subtraction in different number systems can vary from those used in the decimal number system, as each number system has a different set of rules and values.
Multiplication and Division in Different Number Systems: Multiplication and division in different number systems can be done using the same methods as in the decimal number system, but with modifications to suit the specific number system.
Complement and Negation: Complement and negation are operations used in different number systems to represent negative numbers or to perform subtraction. The two's complement method is commonly used in the binary number system.
Floating-Point Numbers: Floating-point numbers are a way of representing real numbers in a binary format. They use a radix point and an exponent to represent numbers with varying degrees of precision and range.
Fixed-Point Numbers: Fixed-point numbers represent a way of representing real numbers with a fixed number of digits after the radix point. They are often used in embedded systems or applications where precision is important, but floating-point numbers are not feasible.
Signed Representation: Signed representation is a way of representing both positive and negative numbers in a binary format. Different number systems have different ways of representing signed numbers, such as the sign-and-magnitude method or the two's complement method.
Overflow and Underflow: Overflow and underflow are common errors that occur when working with numbers in different number systems. Overflow occurs when a number exceeds the maximum value that can be represented, while underflow occurs when a number falls below the minimum value that can be represented.
Binary Coded Decimal (BCD): Binary coded decimal is a way of representing decimal numbers in a binary format. It uses four bits to represent each decimal digit, allowing for more efficient storage and processing of decimal numbers.
Gray Code: Gray code is a binary numbering system where each number differs from its preceding or succeeding number by only one bit. It is often used in electronic circuitry and telecommunications to minimize interference and errors.
Alphanumeric Codes: Alphanumeric codes are a way of representing characters, symbols, and other information using a combination of numbers and letters. Examples include ASCII, Unicode, and EBCDIC.
Error Correction Codes: Error correction codes are used in computer science and telecommunications to detect and correct errors that occur during transmission or storage of data. Examples include Hamming code, Reed-Solomon code, and Turbo code.
Boolean Algebra: Boolean algebra is a mathematical system used to represent logic and binary values. It is commonly used in computer science and digital electronics to design circuits and systems.
Decimal System: The decimal system is the most commonly used radix point system in the world. It has a radix point at the tenth place, and consists of ten symbols, 0 to 9.
Binary System: The binary system has a radix point at the second place, and consists of two symbols, 0 and 1. It is used extensively in computer programming.
Octal System: The octal system has a radix point at the eighth place, and consists of eight symbols, 0 to 7. It is used in digital communication.
Hexadecimal System: The hexadecimal system has a radix point at the sixteenth place, and consists of sixteen symbols, 0 to 9 and A to F. It is used in computer programming and digital communication.
Base-3 System: The base-3 system has a radix point at the third place, and consists of three symbols, 0, 1, and 2. It is used in digital logic circuits.
Base-4 System: The base-4 system has a radix point at the fourth place, and consists of four symbols, 0 to 3. It is used in telecommunication.
Base-5 System: The base-5 system has a radix point at the fifth place, and consists of five symbols, 0 to 4. It is used in musical notation.
Base-6 System: The base-6 system has a radix point at the sixth place, and consists of six symbols, 0 to 5. It is used in measurement and timekeeping.
Base-7 System: The base-7 system has a radix point at the seventh place, and consists of seven symbols, 0 to 6. It is used in musical scales.
Base-8 System: The base-8 system has a radix point at the eighth place, and consists of eight symbols, 0 to 7. It is used in computer programming and digital communication.
Base-9 System: The base-9 system has a radix point at the ninth place, and consists of nine symbols, 0 to 8. It is used in musical scales.
Base-10 System: The base-10 system has a radix point at the tenth place, and consists of ten symbols, 0 to 9. It is the most commonly used radix point system in the world.
Base-11 System: The base-11 system has a radix point at the eleventh place, and consists of eleven symbols, 0 to 9 and A. It is used in digital encryption.
Base-12 System: The base-12 system has a radix point at the twelfth place, and consists of twelve symbols, 0 to 9 and A to B. It is used in measurement and timekeeping.
Base-16 System: The base-16 system has a radix point at the sixteenth place, and consists of sixteen symbols, 0 to 9 and A to F. It is used in computer programming and digital communication.
"The choice of symbol also affects the choice of symbol for the thousands separator used in digit grouping."
"Any such symbol can be called a decimal mark, decimal marker, or decimal sign."
"Decimal point and decimal comma refer to an (either baseline or middle) dot and comma respectively, when it is used as a decimal separator."
"Decimal point and decimal comma... are the usual terms used in English."
"Any such symbol can be called...comma or point in most cases."
"In some specialized contexts, the word decimal is instead used for this purpose (such as in International Civil Aviation Organization-regulated air traffic control communications)."
"In mathematics, the decimal separator is a type of radix point."
"The term radix point... applies to number systems with bases other than ten."
"A decimal mark is a symbol used to separate the integer part from the fractional part of a number written in decimal form."
"Different countries officially designate different symbols for use as the separator."
"A decimal marker is a symbol used to separate the integer part from the fractional part of a number written in decimal form."
"The function of the separator is assumed by the spoken name of the symbol: comma or point in most cases."
"The function of the decimal point is to separate the integer part from the fractional part of a number."
"The choice of symbol also affects the choice of symbol for the thousands separator used in digit grouping."
"A decimal comma is used as a decimal separator."
"The word decimal is instead used for this purpose (such as in International Civil Aviation Organization-regulated air traffic control communications)."
"Any such symbol can be called a decimal mark, decimal marker, or decimal sign."
"The choice of symbol also affects the choice of symbol for the thousands separator used in digit grouping."
"The decimal separator is a type of radix point, a term that also applies to number systems with bases other than ten."