Octal toDecimal
Convert octal numbers to decimal effortlessly with our Octal to Decimal Converter. Translate octal values into their decimal numerical representations quickly and accurately. Whether you're working with computer science, number systems, or programming, our tool simplifies the conversion process. Experience seamless octal-to-decimal conversions with our user-friendly Octal to Decimal Converter.
Octal Number:An octal number is a base-eight numeral system that uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7. Each digit in an octal number represents a power of 8, with the rightmost digit representing 8^0, the next representing 8^1, and so on.
Octal Number Example:An example of an octal number is 345. Here, 3 is in the 512s place (8^2), 4 is in the 64s place (8^1), and 5 is in the 8s place (8^0).
Decimal Number:A decimal number is a base-ten numeral system that uses ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It's the numeral system most commonly used by people in everyday life.
Decimal Number Example:An example of a decimal number is 456. Here, 4 is in the hundreds place (10^2), 5 is in the tens place (10^1), and 6 is in the ones place (10^0).
Conversion Process: Octal to Decimal
- Write the Octal Number: Start with the given octal number.
- Assign Powers of 8: Assign powers of 8 to each digit from right to left, starting with 8^0 for the rightmost digit.
- Multiply and Sum: Multiply each octal digit by its corresponding power of 8 and sum all these products to get the decimal equivalent.
Example: Convert Octal 345 to Decimal
Octal Number: 345
Assign Powers of 8:
5 * 8^0 (1) = 5
4 * 8^1 (8) = 32
3 * 8^2 (64) = 192
Multiply and Sum:
5 + 32 + 192 = 229
Therefore, the decimal representation of the octal number 345 is 229.