Decimal to Octal Converter

Decimal to Octal Converter

What is the Decimal to Octal Converter?

A Decimal to Octal converter is a free online tool that transforms a number from the decimal (base 10) numeral system to the octal (base 8) numeral system. The decimal system is the standard system for denoting integer and non-integer numbers. It consists of ten digits, from 0 to 9. On the other hand, the octal system uses eight digits, from 0 to 7, and is often used in computing as a more compact representation of binary numbers since three binary digits (bits) can be precisely represented by one octal digit.

The conversion process from decimal to octal involves dividing the decimal number by 8 and recording the remainder as the least significant digit (rightmost) of the octal number. This process is repeated with the quotient obtained from each division as the new number to be divided, continuing until a quotient of zero is obtained. The octal number is then formed by the remainders, read from bottom to top or from the last remainder obtained to the first.

For example, to convert the decimal number 157 to octal:

  1. 157 ÷ 8 = 19 remainder 5
  2. 19 ÷ 8 = 2 remainder 3
  3. 2 ÷ 8 = 0 remainder 2

Reading the remainders from bottom to top gives 235 in octal, so the decimal number 157 is equivalent to 235 in octal.