Given f (w, x, y, z) = II(0, 1,3, 5, 13), %3D the cl b) E c) W d) Write Y = f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y = f(w, x, y, z) in SOP Standard form. logic

Design a combinational logic that compares X and Y, where X ¼ X1X0 andY ¼ Y1Y0; the output of combinational logic is 1, when X < Y; otherwise theoutput is 0.(a) Show truth table.(b) Find output function using K-map.

1. A1(XYZ) = (X +Y)(X' +Y +Z') a. Using Boolean Manipulation, convert the given Boolean Expression into a form suitable for an ALL-NAND implementation.

➤ Consider the following Boolean expression F = AB + CD. ✓ Draw the logic diagram of the function F. ✓ Redraw the logic diagram using an equivalent NAND gate.

Simplify the following Boolean function in product-of-sums form by means of a four-variable map. Draw the logic diagram with (a) OR-AND gates; (b) NOR gates. Implement on CircuitVerse. F(w, x, y, z) = ∑( 0, 2, 4, 5, 6, 7, 8, 10, 13, 15)

b) Prove: (A + B)(A + C) = A + B.C c) Draw the logic diagram after simplifying the above expression using gates with truth table.

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.

7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1

Given: F(X,Y,Z)=(X+Y)Z' + {(X'+Z') Y}' . Use boolean algebra method to derive its simplified Sum of product terms expression.

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: F(W, X, Y, Z) = ∑ (2, 3, 4, 8, 9, 10, 12, 14)