In order to convert a decimal number to its binary equivalent, we will repeatedly divide the decimal number by 2, the base of the binary system. Division by 2 will either give a remainder of 1 (dividing an odd number) or no remainder (dividing an even number). Collecting the remainders from our repeated divisions will give us the binary answer.

The animation below demonstrates how to convert a decimal number to binary using repeated division. Click on the "Start Tutorial" button to view the animation.

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