Let's build a circuit that adds numbers! Binary addition is even easier than decimal addition since you don't have to know how to add numbers larger than 1.
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You can get all the components used in this video from any online electronic components distributor for a few dollars.
Complete parts list:
2x 74LS86 (Quad two-input XOR gate)
2x 74LS08 (Quad two-input AND gate)
1x 74LS32 (Quad two-input OR gate)
2x 4-position DIP switch
1x Solderless breadboard
22 gauge wire
USB charger and cable or some other 5v power source