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)

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

Alternatively, we can take a mathematical approach and reduce the gate count to 4 by starting with F2 = (A + B) (A + B). (Hint: distribute the content in the second parentheses and then do De Morgan's Law several times.) Convince yourself that F1 is equivalent to F2 by the distributive property. Draw the above Boolean expression F2 by using only four 2-input NAND gates based on the above method.

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.