Binary Drills

As you recall, instead of 10 digits in each place and powers of 10 in each place, binary numbers have only 0s and 1s as digits and powers of 2. In particular, we have the 1s place, the 2s place, the 4s place, the 8s place, the 16s place, etc.

I've coded up a few applets below so you can practice representing binary numbers. The first two are drills on converting back and forth between binary and base 10, and the last one shows binary addition step by step. Do these until you feel comfortable. If you are totally new to Binary, read 4.1 and 4.2 of Dive Into Systems, and, if you'd like watch the first five Khan Academy Videos at this link (up to and including converting from decimal to hexadecimal), which go through the same content but in a more visual way.

Regardless, you should do these drills until you feel comfortable

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Below is a binary clock. Professor Schilling and I both have them in our offices, although hers is blue and mine is red