c) Use the logic diagrams below to express the Boolean algebra. (Show all steps) D A B E d) Evaluate the following Boolean algebra when A= 1, B = 0, C = 1, and D = 1 = 1 = ¿D + (A.B.C) (A + B)C). E
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- 4. Convert the following Boolean expression to the sum of minterms form. f(a, b, c) = a'b' + bc + ac' 5. Convert the following Boolean expression to the product of maxterms form. f(a, b, c) = a + bc1. Simplify the following expressions. Play with them b) Y = C.(AC.B)Simplify the following expressions by applying Boolean rules. EF'G + EF' + G
- (USE 1 DECIMAL FOR CALCULATION) A researcher believes that design and the safety of the cars is very important for the customers when buying a car. In order to understand the brand perception of customers' researcher shows three different car pictures and ask them can you classify this car in picture) as "sporty" or "safety? the following cross tabulation is obtained. Test the claim that car brand and consumer perception is dependent Automobiles Sporty Safety BMW 60 130 Mercedes 90 120 Renault 50 50 Calculate the test statistics .Simplify the following expression. ((A' + B') + (A' + AB))'Tofħinte:tis a) Express the Boolean function F =C+A'B as a sum of minterms. The function has three variables: A, B, and C.
- 6. Simplify the following expression: (must use theorems, and mention the name of the theorem you are using) F = AB'C + B'C + BCDComputer Science Please help You went camping overnight but forgot to take with you a heater and need to make one using a dc battery of V0 and spare electrical wires of different lengths and resistivity. The battery has lead with the resistance of Rw. Please obtain the formula for the joule heat power and plot it as a function of RH ( in MATLAB) and in comparison to the resistance of the connecting leads, Rw. (Note: express RH = x Rw, where x is the effective ratio; vary x and plot Pmax vs. x). and Find the heating power if the heater is made out of superconducting metal. Will this heater work and why?! What is to happen on the molecular ( i.e. electron) level ?!(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft