P6 (12 points): answer the following questions about muxes and decoders. a: how many 1-bit 2-to-1 muxes are necessary to create an 8-bit 2-to-1 mux? b: how many 1-bit 2-to-1 muxes are necessary to create a 2-bit 4-to-1 mux? c: how many 1-bit 2-to-1 muxes are necessary to create a 1-bit 8-to-1 mux? d: how many 2-to-4 decoders are necessary to create a 4-to-16 decoder? e: how many 1-to-2 decoders are necessary to create a 2-to-4 decoder? f: how many 3-to-8 decoders are necessary to create a 6-to-64 decoder?

The proportional limit is always greater than the yield strength for a material. a)-trune b)- false

Asteel wire of 2 mm diameter is fixed between two points located 2 m apart. the tensile force in the wire is 250n, if its density of steel is given by 7830 kg/m3 the fundamental frequency of vibration hz? ?

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2