Number systems are a way to represent numbers using a set of symbols or digits. The most commonly used number system is the decimal system, also known as the base-10 system, which uses ten different symbols (0-9) to represent numbers. However, there are other number systems, such as binary, octal, and hexadecimal, which use different bases and symbols.



Converting a decimal number to its binary equivalent involves dividing the decimal number by 2 repeatedly and noting the remainders. The remainders, read from bottom to top, represent the binary equivalent of the decimal number.

Here are the steps to convert a decimal number to binary:

1. Divide the decimal number by 2.


2. Note the remainder.


3. Divide the quotient obtained in step 1 by 2.


4. Note the remainder.


5. Repeat steps 3 and 4 until the quotient becomes 0.


6. The binary equivalent is obtained by reading the remainders from bottom to top.

Let's convert the decimal number 13 to binary:

1. Divide 13 by 2, we get a quotient of 6 and a remainder of 1.


2. Divide 6 by 2, we get a quotient of 3 and a remainder of 0.


3. Divide 3 by 2, we get a quotient of 1 and a remainder of 1.


4. Divide 1 by 2, we get a quotient of 0 and a remainder of 1.

Reading the remainders from bottom to top, the binary equivalent of 13 is 1101.



Converting decimal numbers to binary numbers is a fundamental concept in computer science and digital electronics. Understanding number systems and their conversions is essential for various applications, such as programming, data representation, and circuit design. By following the steps mentioned above, you can easily convert decimal numbers to binary numbers.