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A carry-select adder takes the two input bits A and B and creates a true and partial sum from them. These go into a multiplexer which choses the correct output based on the actual carry in. Carry-select adders are made by linking 2 adders together, one being fed a constant 0-carry, the other a constant 1-carry. Most Minecraftian carry-select adders are not true carry-select adders, but simulate the operation of a carry-select in Minecraft.