Simplify the given Boolean function and design its logic gates. F7(x,y,z) = x’yz + xy’z + xyz’ + xyz (Hint : x.x’ = 0 and y.y = y)

Consider the following truth table. A 0 B001 В C Output 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1a) 1b) Write the Boolean expression for the output using the sum-of-products (SOP) form. 1c) Draw the logic circuit using the expression derived in part (a). Use two-input gates (OR, AND) and single-input inverters. Write the Boolean expression for the output using product-of-sums (POS) form.

Simplify the given Boolean function and design its logic gates F3(x,y,z) = x’yz’+y’z+x’z’ F4(x,y,z) = x’y’+xz+x’z F5(x,y,z) = xy’z+x’y’z

Draw the combinational logic circuit diagram that implements F using NAND Gates only. F = a3’a1a0 + a2a1+ a3a2a0’+ a3a2’a1’a0

Given Boolean function is :F= x y + x′ y′ + y′ za. Implement it with only OR & NOT gatesb. Implement it with only AND & NOT gates

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

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

Given the following logic function: F = x’y’z’ + xyz + xy’z + x’yz’ Simplify the logic function. Draw the logic diagram after simplification.

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.

Build the logic circuit, using AND and OR gates and INVERTERS. Z = [A + B + C'DE ']' + B'CD ' Also, Evaluate the output of the circuit for A = B = D =0 and C= E = 1 (Hint: Use Z equation and substitute the variables with the numerical inputs given and do your analysis)

Draw the truth tables for the following Boolean expressions. xy+yz+xz x ̄y+yz ̄+x ̄z (x⊕y)+(y⊕z)+(x⊕z) (xy) ̄⊕ z 2.Draw circuit diagrams implementing each of the above expressions. You may simplify the expressions or not, as you choose. You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR). I need help on question 2 containing the circuit diagrams