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Extend the vocabulary from Section circuits-section to define addition for $n$-bit binary numbers. Then encode the description of the four-bit adder in Figure 4bit-adder-figure, and pose the queries needed to verify that it is in fact correct.

4bit-adder-figure

A four-bit adder. Each ${Ad}_i$ is a one-bit adder, as in figure adder-figure on page adder-figure