Question

How do you convert from octal (Base-8) to binary?

Answer 1

To convert an octal number to binary, each octal digit is replaced with its three-digit binary equivalent and then combined to get the binary number.

Step-by-step explanation:

To convert from octal (Base-8) to binary (Base-2), each octal digit is translated into its equivalent 3-digit binary representation. This is because the largest digit in octal (7) can be represented as a three-bit binary number (111). Here is a step-by-step method to perform the conversion:

For example, to convert the octal number 145 to binary:

Combine these binary numbers together: 001 100 101, which equals the binary number 1100101.