Implement the following Boolean function F, using the two-level forms of logic (a) NAND-AND, (b) AND-NOR, (c) OR-NAND, and (d) NOR-OR: E(W, X, Y, Z) =Σ (2, 3, 4, 8, 9, 10, 12, 14)

Consider the Boolean function F(w, x, y, z) = Σ(1,3,5). Using K-map, derive the SOP and POS of F. Then, implement F with two levels of logic as: a) AND-NOR b) NAND-AND c) OR-NAND d) NOR-OR

Just answer three, four and that's OK

Fill in the truth table for the function f (a, b, c) = a '(b + c) + abc' a b c f 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1

Simplify the following Boolean function using four variable K-map. F(A, B, C, D) = Σ (0, 1, 2, 5, 8, 9, 10) (b) Draw the logic diagram with AND-OR-NOT gates. (c) Draw the logic diagram with NAND gates. (d) Draw the logic diagram with NOR gates using Digital Logic in computer architecture.

Simplify the given Boolean function and design half and full adder according to given input symbols. S(x, y, z) = XY’Z’+X’YZ’+XYZ+X’Y’Z = Z⊕ (X⊕Y)

just b

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

Note: - You are attempting question 4 out of 12 Derive the hazard free Boolean expression for given logic function. F(W,X,Y.Z)= m(0,4,5,10,11,13,14,15) (а) АС + ВСD + ACD (b) АС + ВCD + ACD+АВС+ АBD (c) АС + ACD+ ABC + ABD (d) ABC + ABD Answer

need help with digital logic