Given the following logic circuit, a logic expression for the output function is: H Z O F(x,y,z) = x.(z+y)+z.(z+y) O F(x,y,z) = (z+y).(x+z) O F(x,y,z) = x.z+x.y+z+z.y O F(x,y,z) = x.y+z O All of the above None of the above

The truth table for a Boolean expression is shown on figure1.  A, B, C, D are inputs and Y is the output Write the Boolean expression on SOP form Y = f (A, B, C, D) Minimize the function using Karnaugh Map (K Map) Draw the minimized function using logic gates

boolean expression: P = not((not(a.b) + c) + a.c)  (c) Show that P (the Boolean expression above) is equivalent to the Boolean expression Q = a · b · not(c) and draw the corresponding circuit.

The output of a combinational circuit which implements a majority function F(x,y,z) is equal to 1 if more input variables are equal to 1 rather than 0. The output is O otherwise, e.g. F(1,1,0)=1, F(0,0,1)=0. Which of the following expressions represent the simplified expression for function F? F = xy + xz + yz OF= xz + xy F = x + zy + z OF = x e y e z

Consider a digital logic circuit that has three inputs, A, B, and C, and the output of the digital circuit is LOW only when a majority of the inputs are HIGH. Note that HIGH represents that the output is 1, and LOW represents that the output is 0.a) Interpret the problem to set up a truth table to describe its operation, relating the inputs and the outputs of the circuit. b) Based on the truth table, write the standard sum-of-product (SOP) expression for the output function c) Implement the logic circuit (sketch the logic circuit diagram) for the final simplified SOP expression using logic gates

Digital Logic Design