"The octal, or oct for short, is the base-8 positional numeral system, and uses the digits 0 to 7."
A system that uses eight digits (0-7) to represent all numbers.
Decimal to Octal Conversion: Learn how to convert decimal numbers to octal numbers.
Octal to Decimal Conversion: Learn how to convert octal numbers to decimal numbers.
Binary to Octal Conversion: Learn how to convert binary numbers to octal numbers.
Octal to Binary Conversion: Learn how to convert octal numbers to binary numbers.
Arithmetic Operations in Octal: Learn how to perform addition, subtraction, multiplication and division in the octal number system.
Octal Number Representation: Learn how octal numbers are represented with the help of place values.
Octal Number Properties: Learn the unique properties of numbers in the octal number system.
Octal Bitwise Operations: Learn how to perform bitwise operations (AND, OR, XOR) on octal numbers.
Octal Complements: Learn about octal complements (1's complement and 2's complement) and their uses.
Comparison of Octal Numbers: Learn how to compare Octal numbers and perform sorting on them.
Binary system: This is a number system that uses only two digits, 0 and 1. It is used in digital electronics and computing.
Octal system: This is a number system that uses eight digits, 0 through 7. It is used in computer programming and digital electronics.
Decimal system: This is the most commonly used number system, which uses ten digits, 0 through 9. It is used in everyday life for counting and arithmetic.
Hexadecimal system: This is a number system that uses sixteen digits, 0 through 9 and A through F. It is used in computer programming, digital electronics, and color coding.
Roman numerals: This is a system of numerical notation that uses letters for different values. It was used in ancient Rome and is still used today in certain contexts, such as clock faces and numbering movie sequels.
Base 36 system: This is a number system that uses thirty-six digits, 0 through 9 and A through Z. It is used in computer programming and cryptography.
Duodecimal system: This is a number system that uses twelve digits, 0 through 9 and A and B. It is used in some cultures and in mathematics.
Vigesimal system: This is a number system that uses twenty digits, 0 through 9 and A through J. It is used in some cultures and in linguistics.
Base 60 system: This is a number system that uses sixty digits, 0 through 9 and A through Z, as well as additional symbols. It is used in timekeeping and angle measurement.
"This is to say that 10octal represents eight, and 100octal represents sixty-four. However, English, like most languages, uses a base-10 number system, hence a true octal system might use different vocabulary."
"In the decimal system, each place is a power of ten."
"74 in decimal is equal to 7 × 10^1 + 4 × 10^0."
"In the octal system, each place is a power of eight."
"112 in octal is equal to 1 × 8^2 + 1 × 8^1 + 2 × 8^0."
"Octal numerals can be easily converted from binary representations by grouping consecutive binary digits into groups of three."
"The binary representation for decimal 74 is 1001010. Two zeroes can be added at the left: (00)1 001 010, corresponding to the octal digits 1 1 2."
"The octal representation of decimal 74 is 112."
"The octal system uses the digits 0 to 7."
"The octal system uses a base-8 positional numeral system."
"English, like most languages, uses a base-10 number system."
"10octal represents eight."
"100octal represents sixty-four."
"The octal system represents the number sixty-four as 100octal."
"A true octal system might use different vocabulary."
"Octal numerals can be easily converted from binary representations (similar to a quaternary numeral system) by grouping consecutive binary digits into groups of three."
"Group consecutive binary digits into groups of three (starting from the right, for integers), and correspond them to octal digits."
"The resulting octal representation of (00)1 001 010 is 112."
"112 in octal is equal to 64 + 8 + 2."