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[1] A factory makes bubble gumballs. The gumballs travel on a conveyor that has three associated sensors s1, s2, and s3. The sensor si is

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[1] A factory makes bubble gumballs. The gumballs travel on a conveyor that has three associated sensors s1, s2, and s3. The sensor si is connected to a scale that weighs each gumball, and if a gumball is too heavy to be acceptable then the sensor sets $1 = 1. Sensors s2 and s3 examine the diameter of each gumball. If a gumball is too small to be acceptable, then s2 = 1, and if it is too large, then s3 = 1. If a gumball is of an acceptable weight and size, then the sensors give s1 = s2 = 53 = 0. The conveyor pushes the gumballs over a "trap door" that it used to reject the ones that are not properly formed. A gumball should be rejected if it is too small, or both too large and too heavy. The trap door is opened by setting the logic function f to the value 1. Find the truth table, the logic expression, and draw the logic circuit. (2) For the function 'P', find the truth table and the Karnaugh map and draw the logic circuit. f(X1, X3, X3, X.) = IIM (0, 1, 4, 5, 6, 15) [3] What is the function d of the LED light? d . X2 11 xo Logic circuit S [1] A factory makes bubble gumballs. The gumballs travel on a conveyor that has three associated sensors s1, s2, and s3. The sensor si is connected to a scale that weighs each gumball, and if a gumball is too heavy to be acceptable then the sensor sets $1 = 1. Sensors s2 and s3 examine the diameter of each gumball. If a gumball is too small to be acceptable, then s2 = 1, and if it is too large, then s3 = 1. If a gumball is of an acceptable weight and size, then the sensors give s1 = s2 = 53 = 0. The conveyor pushes the gumballs over a "trap door" that it used to reject the ones that are not properly formed. A gumball should be rejected if it is too small, or both too large and too heavy. The trap door is opened by setting the logic function f to the value 1. Find the truth table, the logic expression, and draw the logic circuit. (2) For the function 'P', find the truth table and the Karnaugh map and draw the logic circuit. f(X1, X3, X3, X.) = IIM (0, 1, 4, 5, 6, 15) [3] What is the function d of the LED light? d . X2 11 xo Logic circuit S

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