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1. Devise a scheme for representing rational numbers as binary strings. Briefly describe algorithms for performing addition and comparison using your scheme.
2. Devise a scheme for representing rational numbers and rational multiples of 7r as binary strings. Comment on the implementability of arithmetic operations using your representation.
A 110 f t long, 5 in in diameter (f = 0:033) connects two reservoir whose water surface elevations differ by 12 f t. Compute flow rate in pipe.
Three loads P1 = 2.4 kN, P2 = 4.4 kN, and P3 = 6.4 kN are suspended as shown from the cable ABCDE. Knowing that the maximum tension in the cable is 26 kN, determine the distance dC.
the velocity of a particle is given by the relation v=100-10x, where v is expressed in meters per second and x in meters. Knowing that x=0 at t=0, determine (a) the distance traveled before the particle comes to rest
A completely mixed activated-sludge plan is being designed for a wastewater flow of 3.0 mgd. The BOD of 225 mg/l is 200 mg/l soluble. The effluent soluble BOD requirement is 7 mg/l (70 percent of the total 10 mg/l).
Due to a street crossing a roadway, the elevation of the roadway at station 3 +413.760 must be at 129.388 m. Design the curve?
An aerosol with a lognormal size distribution has a count median diameter of 2.0 micron and a geometric standard deviation of 2.2. If the mass concentration is 1 mg/cubic meter what is the number concentration? Assume spherical particles with density..
What is the total moment M due to the force F about point O. Assume that moments acting counterclockwise about point O are positive whereas moments acting clockwise are negative.
After initial mixing, the DO concentration in the river is 9.5mg/L and the temperature is 15ºC. If the ultimate BOD of the mixed river water is 30mg/L,
A 4 X 8-ft solar collector has water circulating through it at the rate of 1.0 gallon per minute while exposed to sunlight with intensity 300 Btu/ft^2-hr.
An afterburner has been selected to destroy 99.9% of the ethane (CH3-CH3)in a gas (mostly air) stream . if the residue time is 0.8 seconds and the pressure is 1.1 atmospheres in the after burner,
A trapezoidal channel having bottom width of 8 m and side slopes of 1 : 1, carries a discharge of 80 m^3/s. Find the conjugate depth to an initial flow depth of 0.75 m before the jump. Also determine the energy loss in the hydraulic jump.
If the design of a steel gear indicates that an allowable bending stress number of 36 000 psi is needed, specify a suitable hardness level for Grade 1 steel. What hardness level would be required for Grade 2 steel?
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