Octal to Binary

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

1. Convert Each Octal Digit to Binary: Convert each octal digit to its binary equivalent.
2. 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.