Simplify the following expressions and draw the corresponding logic circuit. 1. y (x'z+xz') + x (yz+yz')
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- (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=.3ft1.) If f(x) = 2.x^2 - x + 5. What is f(-3)? 2.) If A = {a, b, d, e}, B = {b, c, e, f} and C = {d, e, f, g}. What is (A ∩ B) ∪ (A ∩ C)?2) Simplify the following Boolean expressions, using three-variable K-maps:F(x,y,z) = x′y′ + yz + x′yz′ PS:Please type instead of paper writing
- Please help with all of them and show work please Simplify the following expressions F(x, y, z) = xy + x’y’z’ + x’yz’ F(x, y, z) = x’yz + xy’z + x’yz’ F(x, y, z) = xy’z’ + xz + x’y’z F(w, x, y, z) =x’z + w’xy’ + w(x’y + xy’) F(w, x, y, z) =w’x’y’z’ + wy’z’ + x’yz’ + w’xyz + xy’z2. Given a boolean expression below, find the value of the expression if the values of P = 1, Q = 0, R = 1. Y = P.Q + Q.(R+P+Q)2. Look for the dual of the following Boolean expressions:a. xyz + x'y'z'b. xz' + x⋅0 +x'⋅1
- Write the robot program using the VAL+ for the following automation case. First draw the problem; then handwrite the VAL+ code. The robot picks up FIVE blocks of size 100x100x100 mm that are stacked at a fixed position and place them at the corners and center of a square table of size 500 x 500 mm. Select the original position on the table on your own.write a c++ program that creates all 4-digit combinations from 1 - 7 for example, the first combination should be 1 2 3 4... but instead of numbers, the output should be letters. for 1 = a, 2 = b, 3 = c, 4 = d, 5 = e, 6 = f, 7 = g and the output for 1 2 3 4 should be a b c d the output for 2 3 4 5 should be b c d e42. Consider the expression given below. The value of X is:X = 2+9*((3*12)-8)/10 a. 30.0 b. 30.8 c. 28.4 d. 27.2
- Keep the Diagram neat. Thanks. Implement the following boolean function using a) 16:1 mux b) 8:1 mux c) 4:1 mux F(A,B,C,D) =∑(0,1,2,7,8,10,11,13, 15)What is the output from the following print statement: print (1 / 3) print (10 + 3 * 7) print ((10 + 3) * 7) print ("Hi" + "there") print ("Hi" + 10) print ("Hi" + "10") Does e and f display the same result? Why? print ("Hi" * 10) print ("Hi" * "10") Does h and i display the same result? Why?1) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’yz+x’yz’+xy’z’+xyz+xyz’ , can be written as: 2) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’y’z+x’yz+x’yz’+xy’z’+xyz’ , can be written as: 3)convert the following decimal fractions to binary with a maximum of six places to the right of the binary point: 1)25.84375 2)57.55 3)80.9065 4) Convert the following binary fractions to decimal: 1)100001.111 2)111111.10011 3)1001100.1011 5) Fill in the blank. The representation of 60 in binary using 8-bit signed magnitude is ______, in ones complement is ______, in two’s complement is ______, and in excess-127 is ______.
