Using the MATLAB program, find the Laplace transform (Hint: Use the MATLAB ready function to split partial fractions.) 4 15 F(s)= 1+ + 2(s+1) S+2 2(s+3)

Convert each of the following POS expressions to minimum SOP expressions using a Karnaugh map: (a) (A + B)(A + TYĀ + B + C) (b) (Ā + B)(Ā + B + T«(B + T + D)(A + B + C + D)

Construct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y)(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+z) Simplify the following Boolean functions T1 and T2 to a minimum number of literals: T2 0 0 0 1 1 1 1 1 A OOO 0 0 0 LLLL 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 اهای 1 T1 1 1 1 0 0 0 0 0

9. Given the following Boolean Function: F(A, B, C) = AB+B(Ā+C) Determine the canonical form for the SOP (sum of minterms) and POS (product of maxterms). Also, draw the truth tables showing the minterms and maxterms.