Given a 3-bit input a, 1-bit input p, 1-bit input, a 6-bit adder, some 2-to-1 muxes, some not gates, and some xor gates: a: design a circuit that produces a 6-bit integer b such that b=3+a if p=0 and produces b=5-a if p=1. b: design a circuit that produces a 6-bit integer c such that c=3a if p=0 and produces c=5a+1 if p-1. c: design a circuit that outputs 6-bit integer d such that d=b if q=0 and d=c if q=1.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?