"A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner."
The process of converting a number from one number system to another.
Decimal Number System: Understanding the foundation of numbers used in everyday life, including place value and the use of digits 0-9.
Binary Number System: Understanding the fundamental building blocks of computing, including binary digits (bits), base-2 numbering, and binary arithmetic.
Hexadecimal Number System: Understanding the use of base-16 numbering system, and its usefulness in computer science and programming.
Octal Number System: Understanding the use of base-8 numbering system, and its applications in computing and electronics.
Converting Binary to Decimal: Learning how to convert binary numbers to decimal numbers using the powers of 2 method.
Converting Decimal to Binary: Learning how to convert decimal numbers to binary numbers using the division remainder method.
Converting Binary to Hexadecimal: Learning how to convert binary numbers to hexadecimal numbers by grouping bits and assigning values to each group.
Converting Hexadecimal to Binary: Learning how to convert hexadecimal numbers to binary numbers by breaking down digits and reassembling binary values.
Converting Decimal to Hexadecimal: Understanding how to convert decimal numbers to hexadecimal numbers using remainders and division.
Converting Hexadecimal to Decimal: Understanding how to convert hexadecimal numbers to decimal numbers using place values and multiplication.
Decimal to Binary: Converting a decimal number to binary, which is a base-2 number system.
Binary to Decimal: Converting a binary number to decimal, which is a base-10 number system.
Decimal to Octal: Converting a decimal number to octal, which is a base-8 number system.
Octal to Decimal: Converting an octal number to decimal.
Decimal to Hexadecimal: Converting a decimal number to hexadecimal, which is a base-16 number system.
Hexadecimal to Decimal: Converting a hexadecimal number to decimal.
Binary to Octal: Converting a binary number to octal.
Octal to Binary: Converting an octal number to binary.
Binary to Hexadecimal: Converting a binary number to hexadecimal.
Hexadecimal to Binary: Converting a hexadecimal number to binary.
Octal to Hexadecimal: Converting an octal number to hexadecimal.
Hexadecimal to Octal: Converting a hexadecimal number to octal.
Quaternary to Binary: Converting a quaternary number to binary, which is a base-2 number system.
Binary to Quaternary: Converting a binary number to quaternary, which is a base-4 number system.
Decimal to Quaternary: Converting a decimal number to quaternary.
Quaternary to Decimal: Converting a quaternary number to decimal.
Quaternary to Octal: Converting a quaternary number to octal.
Octal to Quaternary: Converting an octal number to quaternary.
Quaternary to Hexadecimal: Converting a quaternary number to hexadecimal.
Hexadecimal to Quaternary: Converting a hexadecimal number to quaternary.
"The same sequence of symbols may represent different numbers in different numeral systems."
"For example, '11' represents the number eleven in the decimal numeral system."
"The number three in the binary numeral system (used in modern computers)."
"The number two in the unary numeral system (used in tallying scores)."
"The number the numeral represents is called its value."
"Not all number systems can represent the same set of numbers; for example, Roman numerals cannot represent the number zero."
"Ideally, a numeral system will:
"The usual decimal representation gives every nonzero natural number a unique representation as a finite sequence of digits, beginning with a non-zero digit."
"Numeral systems are sometimes called number systems."
"Such systems are, however, not the topic of this article."
"Such systems are, however, not the topic of this article."
"Such systems are, however, not the topic of this article."
"A numeral system is a writing system for expressing numbers."
"A mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner."
"A numeral system will give every number represented a unique representation (or at least a standard representation)."
"Ideally, a numeral system will reflect the algebraic and arithmetic structure of the numbers."
"For example, Roman numerals cannot represent the number zero."
"A numeral system will represent a useful set of numbers (e.g., all integers, or rational numbers)."
"Ideally, a numeral system will give every number represented a unique representation."