1. For the parallel adder in Figure, determine the complete sum by analysis of the logical operation of the circuit. Verify your result by longhand addition of the two input numbers.
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When the resistors in the circuit are placed in series, the total impedance is the sum of the two impedances $Z=Z_{1}+Z_{2} .$ Find the total impedance of the electrical circuit in series.
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Parallel circuits: For AC circuits wired in parallel, the total impedance is given by $Z=\frac{Z_{1} Z_{2}}{Z_{1}+Z_{2}},$ where $Z_{1}$ and $Z_{2}$ represent the impedance in each branch. Find the total impedance for the values given. Compute the product in the numerator using trigonometric form, and the sum in the denominator in rectangular form. $$Z_{1}=1+2 j \text { and } Z_{2}=3-2 j$$
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