implicants that are used in your implementation, and circle only the non-essential prime implicants that are used for consensus terms. Clear circles Delete Toggle prime implicant type Show minterms W W 1 d 1 O Z Y 1 1 1 1 N d 0 0 1 Y Z d d 0 0 X X You haven't identified the right essential minterms () [10 points] Use the zeroes in the Karnaugh map (the OFF SET) to write the complement of the function as a minimal sum-of-products expression. F'(W,X,Y,Z) = (h) [10 points] Use DeMorgan's law to take the expression in (g) and turn it into a minimal product-of-sums expression for F(W,X,Y,Z). F(W,X,Y,Z) = (1) [5 points] Calculate the cost of the product-of-sums expression in terms of total gate inputs and outputs. (Again, assume you get complemented variables for free and have multi-input gates.) inputs outputs total 6) [5 points] What kind of hazard (if any) exists in an implementation of the minimal product-of-sums expression and when does it occur? (k) [10 points] Add a mini sumn to your mal product-of-sums implementation that will eliminate the hazard. State the full expression below. F(W,X,Y,Z) = implicants that are used in your implementation, and circle only the non-essential prime implicants that are used for consensus terms. Clear circles Delete Toggle prime implicant type Show minterms W W 1 d 1 O Z Y 1 1 1 1 N d 0 0 1 Y Z d d 0 0 X X You haven't identified the right essential minterms () [10 points] Use the zeroes in the Karnaugh map (the OFF SET) to write the complement of the function as a minimal sum-of-products expression. F'(W,X,Y,Z) = (h) [10 points] Use DeMorgan's law to take the expression in (g) and turn it into a minimal product-of-sums expression for F(W,X,Y,Z). F(W,X,Y,Z) = (1) [5 points] Calculate the cost of the product-of-sums expression in terms of total gate inputs and outputs. (Again, assume you get complemented variables for free and have multi-input gates.) inputs outputs total 6) [5 points] What kind of hazard (if any) exists in an implementation of the minimal product-of-sums expression and when does it occur? (k) [10 points] Add a mini sumn to your mal product-of-sums implementation that will eliminate the hazard. State the full expression below. F(W,X,Y,Z) =