Decimal to Binary

Now that you know how binary works, you need to learn how to convert a decimal number (like 13) into binary (1101).

The method: divide by 2 repeatedly, read remainders backward.

Step-by-step example: Convert 13 to binary

Now read the remainders from bottom to top: 1101

So 13 in decimal = 1101 in binary.

Another example: Convert 25 to binary

Read bottom to top: 11001

So 25 in decimal = 11001 in binary.

Why this works:

Each time you divide by 2, you are finding the next binary digit (starting from the rightmost). The remainder tells you whether that digit is 0 or 1. You stop when the result becomes 0.