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Determine the minimum expression for the following logic function, simplifying the expression:
f (A, B, C) = (A + B) · A · B + A · C + A · B · C + B · C
a. Complete the truth table for the circuit of Figure P12.37.
12.33 A half adder circuit is shown in Figure P12.33. Write the logical expression for the outputs of this circuit in terms of its inputs. Also create a truth table for the outputs in terms of the inputs.
b. What mathematical function does this circuit perform, and what do the outputs signify?
c. How many standard 14-pin ICs would it take to construct this circuit?
A
B S x
S
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