# Octal toDecimal

Convert octal numbers to decimal effortlessly with our Octal to Decimal Converter. Ideal for programming and number systems, ensuring precise conversions.

**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.