Binary and addition

Binary Numbers and How Computers Add

These articles start with a row of cards. See how 0 and 1 show numbers and how far a given number of bits can reach, then follow step by step how a machine adds, and finally check yourself with practice problems and paper cards. Each article stands on its own.

Showing numbers with 0 and 1

Use flip cards to understand place value, try the card activity, and learn how many states a number of bits has and how large it can go.

Addition and adding machines

Start with the carry rules, then meet the half adder, the full adder, the jobs of AND and XOR, and how a carry moves from column to column.

Practice and hands-on materials

Grouped binary addition problems with answers, plus binary cards you can print and cut out.