design simplest (lowest cost) circuut of four variables

Q5: Design simplest (lowest-cost) circuit of four variables (x1, x2, x3, x4) which produces an output value of f1 when two or more input variables have the value of '0'; otherwisef=0; Calculate cost of your final lowest-cost circuit that you design. (Hint: start with the truth table of four variables, write all combinations for the input variables, and it you have 2 or more 'O's than '1's in a given row then output f-1 otherwise f = 0; Try both the SOP form and POS form of the output function to compare and find the lowest-cost circuit. For homework and unlike lab exercises, you can use multi-input gates and not be limited to 2 input gates only.)