Final answer:
To convert a decimal IP address to binary form, divide each decimal octet by 2 to get the remainders, which form the binary digits when written in reverse order. Repeat this process for each of the four octets of the IP address.
Step-by-step explanation:
To convert a decimal IP address to its binary form, you need to convert each of the four octets that make up the IP address from decimal to binary separately. An IP address is typically written as four decimal numbers separated by dots, for example, 192.168.1.1. Each number can range from 0 to 255. Here is a step-by-step guide to convert the IP address to binary:
- Divide the decimal number by 2.
- Write down the remainder (it will be 0 or 1).
- Divide the quotient by 2 again and write down the remainder.
- Continue this process until the quotient is 0.
- Write down the binary digits in reverse order (the last remainder will be the most significant bit).
For instance, to convert the decimal number 192 to binary, we would get:
192 ÷ 2 = 96 with a remainder of 0 (Least Significant Bit)
96 ÷ 2 = 48 with a remainder of 0
48 ÷ 2 = 24 with a remainder of 0
24 ÷ 2 = 12 with a remainder of 0
12 ÷ 2 = 6 with a remainder of 0
6 ÷ 2 = 3 with a remainder of 0
3 ÷ 2 = 1 with a remainder of 1
1 ÷ 2 = 0 with a remainder of 1 (Most Significant Bit)
So, the binary form of 192 is 11000000.
You would repeat this process for the remaining octets until you have converted the entire IP address to binary.