Using Table 1-2, derive the Boolean expression for the S (sum) output of the full-adder in sum-of-products

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Using Table 1-2, derive the Boolean expression for the S (sum) output of the full-adder in sum-of-products form. Then by algebraic manipulation show that S can be expressed as the exclusive-OR of the three input variables. 

S = x ⊕ y ⊕ z

Table 1-2

TABLE 1-1 Basic Identities of Boolean Algebra (2) x 0 = 0 (4) x 1 = x (1) x + 0 = x (3) x + 1 = 1 (5) x + x =

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