# Octal to Binary

Convert octal numbers to binary effortlessly. Ideal for programming and digital systems, ensuring accurate binary conversions.

**Octal Number:**An octal number is a base-eight numeral system that uses digits from 0 to 7. Each digit in an octal number represents a power of 8, starting from the rightmost digit representing 8^0, then 8^1, 8^2, 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).

**Binary Number:**A binary number is a base-two numeral system using only two digits: 0 and 1. Each digit in a binary number represents a power of 2, starting from the rightmost digit representing 2^0, then 2^1, 2^2, and so on.

**Binary Number Example:**An example of a binary number is 110101. Each digit represents a power of 2, with the rightmost digit representing 2^0, the next representing 2^1, and so on.

**Conversion Process: Octal to Binary**

**Convert Each Octal Digit to Binary:**Convert each octal digit to its binary equivalent.**Combine Binary Digits:**Combine the binary digits obtained from each octal digit to form the final binary number.

**Example: Convert Octal 345 to Binary**

Octal Number: 345

Convert Each Octal Digit to Binary:

3 (011 in binary)

4 (100 in binary)

5 (101 in binary)

Combine Binary Digits:

011 100 101

Therefore, the binary representation of the octal number 345 is 011100101.