Question

Write down the procedure of converting an octal number into binary number.

Answer 1

To convert an octal number to a binary number, replace each octal digit with its 3-bit binary equivalent and then combine all the 3-bit groups to form the binary number.

Step-by-step explanation:

Converting Octal to Binary

Converting an octal number into a binary number involves a simple process where each octal digit is translated into its corresponding 3-bit binary equivalent. Octal numbers are base-8 numbers which means they only use the digits 0 to 7, while binary numbers are base-2 numbers using only digits 0 and 1. The conversion is straightforward because each octal digit directly corresponds to a unique 3-bit binary sequence.

Here is the procedure to convert an octal number to a binary number:

1. Write down the octal number that needs to be converted.
2. Replace each octal digit with its 3-bit binary equivalent. The conversions are as follows: 0 = 000, 1 = 001, 2 = 010, 3 = 011, 4 = 100, 5 = 101, 6 = 110, 7 = 111.
3. Combine all the 3-bit groups to form the binary number.

For example, the octal number 123 would be converted to binary as follows: 1 becomes 001, 2 becomes 010, 3 becomes 011, and the binary equivalent is 001010011.