Octal to binary and hexadecimal to binary conversions are important concepts with regard to digital electronics and digital computers. Following is the technique for these conversions.
Technique
- Convert each octal digit to a 3-bit equivalent binary representation
- Convert each hexadecimal digit to a 4-bit equivalent binary representation
- Concatenate all the binary equivalent of the digits to get the final binary number
Octal to Binary Conversion
Example: 7058 = ?2
Example of Octal to Binary Conversion
Hexadecimal to Binary Conversion
Example: 10AF16 = ?2
Example of Hexadecimal to Binary Conversion
For a detailed explanation, watch the following lecture video.