Converting a number from decimal (base 10) to binary (base 2) is a fundamental skill in computer science and programming. The binary system uses only two digits, 0 and 1, to represent numbers. Here are some methods to perform this conversion:

Method 1: Division by 2

This method involves repeatedly dividing the decimal number by 2 and recording the remainders. The binary representation is obtained by reading the remainders in reverse order.

Steps:

1. Divide the decimal number by 2.

2. Record the remainder (0 or 1).

3. Update the decimal number to the quotient obtained from the division.

4. Repeat the process until the quotient is 0.

5. Read the remainders in reverse order to get the binary number.

Example:

Convert the decimal number 13 to binary:

Reading the remainders in reverse order, we get 1101. Therefore, 13 in binary is 1101.

Method 2: Using Powers of Two