Decimal and octal are two different numeral systems used to represent numbers.
Decimal is the most common numeral system used by humans. It is a base-10 system, meaning it uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each digit’s position in a decimal number represents a power of 10.
Octal is a base-8 numeral system. It uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7. Each digit’s position in an octal number represents a power of 8.
To convert a decimal number to octal, follow these steps:
| Division by 8 | Quotient (integer) | Remainder (decimal) | Remainder (octal) | Digit # |
| 7562/8 | 945 | 2 | 2 | 0 |
| 945/8 | 118 | 1 | 1 | 1 |
| 118/8 | 14 | 6 | 6 | 2 |
| 14/8 | 1 | 6 | 6 | 3 |
| 1/8 | 0 | 1 | 1 | 4 |
Converting a decimal number to octal involves dividing the decimal number by 8 and noting the remainders at each step. The process is as follows: Write down the decimal number. Divide the number by 8 and write down the quotient (ignore the remainder for now). Continue dividing the quotient by 8 until the quotient becomes 0, and note down the remainders at each step. Read the octal number from bottom to top, which is the sequence of remainders you wrote down
Decimal to octal conversion is the process of transforming a decimal number, which is in base-10 numeral system, into its equivalent representation in the octal numeral system, which is a base-8 system. In octal, each digit represents a power of 8, ranging from 0 to 7. The conversion is done by repeatedly dividing the decimal number by 8 and noting the remainders until the quotient becomes 0, and then reading the remainders in reverse order to get the octal representation.
To convert a decimal number to octal (base 10 to base 8), follow these steps: Write down the decimal number. Divide the number by 8 and note the remainder. Continue dividing the quotient by 8 and noting the remainders until the quotient becomes 0. Read the remainders in reverse order, and that will be the octal representation of the decimal number.
To convert the decimal number 33 to octal: 33 ÷ 8 = 4 with a remainder of 1. 4 ÷ 8 = 0 with a remainder of 4.
To convert the decimal number 117.23 to octal: Convert the integer part (117) to octal using the steps mentioned above. The octal representation is 165. Convert the fractional part (0.23) to octal using the steps below: Multiply the fractional part by 8: 0.23 * 8 = 1.84. Take the integer part of the result (1) as the first octal digit. Repeat the process with the decimal part (0.84) until you reach the desired precision.
To convert the binary number 13.54 to octal, first convert it to decimal and then to octal using the steps mentioned above. The octal representation will be 15.64.