Here's the schematic for an adder shown in my last post.
It can be in a series of adders to add even larger binary numbers.
Every adder deals with variables A and B, which you can think of as bits to add together. Cin is another bit given by the last adder saying we've made a carry (A and B are 1. 1 + 1 = 0 carry out a 1). The schematic takes Cin, A, and B to generate the sum, as well as the Cout (carry out value).
It's proven it works on the truth table in pic 2, compare Cin + A + B with the answers circled for the corresponding Cin & Sum combo.
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If you understand that you can understand building the part ALU of a processor.
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