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- 8. Use K-Maps to find the minimal expansion as the Boolean sum of the product of the following functions on the variables w, x, y, and z:wxyz + wxyz' + wxy'z + wx'yz + wx'yz' + w'xyz + w'x'yz + w'x'yz' + w'x'y'zarrow_forward7. Use K-Maps to find the minimal expansion as the Boolean sum of the product of each of the following functions on the variables x, y, and z:a. x'yz + x'y'zb. xyz + xyz' + x'yz + x'yz'arrow_forwardsolve problem D Given the Boolean function: F = xy' + z'y'z + xyz d) List the truth table or the functlon from the simplified expression and show that it is the same as the truth table in part (a).arrow_forward
- Find the discrete trigonometric approximation of order n for a general function f (x) on a general segment [a, b]. Test the code using MATLAB on f (x) = e^x−e^(−2x) on [−3, 3] with n = 2, 5, 10.arrow_forwardFind the equation of the plane through the point (2, 4, 5) perpendicular to the line: X-5+t, y=1+3t, z= 0+4tarrow_forwardGiven the following truth table, write an algebraic expression for the given function andsimplify the expression using a Karnaugh map.A B C F0 0 0 10 0 1 10 1 0 10 1 1 01 0 0 01 0 1 11 1 0 01 1 1 1arrow_forward
- The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/marrow_forwardCreate the K-maps and then simplify for the following functions: 1). F(x,y,z) = x′y′z′ + x′yz + x′yz′arrow_forwardAn important concept in the study of signals and systems is the transformation of a signal with respect to dependent Variable and Independent Variable. In your understanding kindly; (i) Demonstrate the functions of each dependent and independent variable with respect to the signal function x(t) as well as the properties. (i.e either roll or clime) (ii) Clearly transform either dependent or independent variable of the signal function x(t) to a graphical representation.arrow_forward
- Draw the graph of the function f(x)=⌊x/2⌋ from R to R.arrow_forward1. Determine the equation of the line through the given point (a) parallel and (b) perpendicular to the given line Given: Point: ( -1,-4) Line: 4x-2y=3 2. Draw the line 4x-2y=3 and your answer for letter (a) in problem number 1 3. Draw the line 4x-2=3 and your answer for letter (b) in problem number 1 4. a2x-7ay+5a=0 Reduce the given equation to (a) intercept form (b) slope-intercept form A is the last two digit of your ID number, for example your ID number 20201000111, then (a) is 11 hence your equation would be 22x-77y+55=0arrow_forward2. Simplify the following Boolean expressions, using three variable K-maps: (a) F(x,y,z) = xy+x′y′z′+x′yz′ (b) F(x,y,z) = x′y′+yz+x′yz′ (c) F(x,y,z) = x′y+yz′+y′z′arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr