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- Use DeMorgan's law to determine if each of the following pairs of statements are equivalent or not. a) ~(~p V q), p V ~q b~(p V ~q), ~p^q6. B) Write equivalent expressions for each of the following by using De Morgan’s Law. !(a || b) !(y > 2 && !found )Minimize the following expression using Boolean rules: F=XY+X(Y+Z)+Y(Y+Z)
- QUESTION 6 P6.8 Simplify the following Boolean expression using Boolean algebra laws: XY[Y +(XY)]′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 ______.Simplify the following expressions by applying Boolean rules. (XY)(YZ)
- 71. Evaluate the expression given below if A= 16 and B = 15.A % B // A a. 0.0 b. 0 c. 1.0 d. 1(Practice) State whether the following variable names are valid. If they are invalid, state the reason. prod_a c1234 abcd _c3 12345 newamp watts $total new$al a1b2c3d4 9ab6 sum.of average volts1 finvolt(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
