Generate a special truth-table based on four variables (A,B,C,D) using "your own student id number" as shown in the following example. Synthesize the Boolean function described by the truth table in sum of products canonical form. Compile the Karnough Map. Synthesize the minimal network described by the map and write the AND-OR boolean expression. Open the d-DcS and

Exercise 1: Z1 and express it in a + bi Z2 Given that z1 = 1– 2i, z, =-3+ 4i. Find form.

Can you give a formal proof for part b?

Simplify the following Boolean functions, using K-maps: F (w, x, y, z)=Σ(0,1,4,5,10,11,14,15)

Consider the minterm expansion for f=Σm(1, 3, 4, 5, 6, 7, 9, 11) with 4 variables. (a) Draw its Karnaugh map. (b) Write down expression for all the prime implicants. (c) Write down expression for all the essential prime implicants. (d) Write down the minimum sum of product expression for f.

Write sum-of-products expansion of the Boolean function ?(?, ?, ?) = 0 if and only if ?? = 0.

Please explain how that is simplified to Y=A, using Karnaugh Maps with 1 and 0 not the other solution that was just submitted

Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases. a) F(x, y, z) = (0,2,4,5) b) F(x, y, z) = (0,1,2,3,5) c) F(x, y, z) = Σ(1,2,3,6,7) d) F(x, y, z) = Σ(3,4,5,6,7) e) F(A,B,C,D) = Σ(4,6,7,15) f) F(w, x, y, z) = Σ(0,2,8,10, 12, 13, 14) g) F(w, x, y, z) = Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) h) F(A, B, C, D) = [(1,3,6,9,11,12,14) i) F(x, y, z) = Σ(0,4,5,6) and d(x, y, z) = Σ(2,3,7)

Make an actual code equivalent in MATLAB.  Include the table showing the parameter values for each interpolate. Include graphs.

Create the function truth tables, then find canonical forms, then use K-maps to simplify into most efficient SOP and POS.