Decimal to Binary Converter

To convert a decimal number to binary, you can use the method of repeated division by 2. Here's how to do it step by step:

• Divide the decimal number by 2.
• Record the remainder. This will be either 0 or 1.
• Update the decimal number. Take the quotient (the result of the division) as your new number.
• Repeat steps 1-3 until the quotient is 0.
• Read the remainders in reverse order. The first remainder will be the least significant bit (rightmost), and the last remainder will be the most significant bit (leftmost).

Example: Convert 13 to binary

• 13 ÷ 2 = 6, remainder 1
• 6 ÷ 2 = 3, remainder 0
• 3 ÷ 2 = 1, remainder 1
• 1 ÷ 2 = 0, remainder 1

Now, reading the remainders from bottom to top, we get 1101. So, the decimal number 13 in binary is 1101.