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The reset circuit used on the four 3-bit counters analyzed in this activity reset the counts to zero (000). it makes sense for the up-counters to start at zero (000), but the down-counters should start at seven (111). what would you need to change so that the 3-bit binary down counter with j/k flip-flops you just created would reset to seven (111)?

Describe a data structures that supports the stack push and pop operations and a third operation findmin, which returns the smallest element in the data structure, all in o(1) worst-case time.

5.a fishing rod is formed from a composite material of 0.5 kg of glass fibers embedded in a matrix of 0.5 kg of epoxy resin. the glass fibers are assumed to be long, continuous and unidirectional. to achieve a greater stiffness it is proposed to use a different composite that is comprised of long continuous carbon fibers that will be embedded in a matrix of 0.5 kg of epoxy resin. if the modulus of elasticity of the carbon fiber composite is 10% greater than the elastic modulus of the glass fiber composite, estimate the mass of carbon fibers that will be used to make the carbon fiber composite. assume the applied tensile stress is parallel to the direction of the long axis of the fibers. the epoxy resin, glass fiber, and carbon fiber have an elastic modulus of 5, 86, and 350 gpa respectively and a density of 1100, 2500, and 1800 respectively.