A What boolean expression is equivalent to the circuit presented in the figure? Q = (A and B) or ((B or C) and (C and A)) Q = (A and B) or ((B or C) and (C and B)) Q = (A or B) or ((B or C) and (C and B)) Q = (A and B) or (B or C) and (C or B) %3D
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- 5. Consider the circuit below: A- B- C- a. Write the Boolean expression modeled by the circuit. Above. Use Boolean Algebra notation: A, (for not A); AB (for A and B), A + B (for A or B), A Ð B (A xor B), etc. b. Evaluate the output of each gate, including the final gate, given that A= 1, B=1 and C=1 Write your evaluation of each gate above each gate and include a screen shotboolean 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.create a circuit diagram for: F = A.(B'+C)
- Task 4: Simplifying Boolean functions Simplify the following Boolean expression F (A, B, C) = (A+C") +C (C.A' + (B.A) +C Draw the simplified Boolean expression using EWB. Find out the truth table of the circuit.We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.Create a non-abbreviated logic diagram for the following Boolean Expressions. You can use all gates. • a'b+ ab' ((ab)'(b'c) + a'b'c') (a +b)(a' + c)(b' + c') (a e b+b e d)
- Draw the circuit for the following Boolean expression: P = (X and Y) or (not X or Z)Q1: Let F1 = AOB, F2=AB, F3= A+C, F4= F1+F2+ F3 Implement the above Boolean expression with logic circuit .. giving the truth table.9. Construct a truth table summarizing the operation of this circuit: A B C Out 10. Write a boolean expression for the circuit shown above. (Note: Do not simplify it.) 11. Write the simplified boolean expression for the circuit based on the truth table. 12. Picnics are enjoyable on sunny days that have no ants. They're also enjoyable anytime there's a hummingbird, as well as on days where there are ants and ladybugs. Write a Boolean equation for picnic enjoyment (E) in terms of sun (S), ants (A), hummingbirds (H), and ladybugs (L).
- Write a boolean expression which will be 1 when exactly one of x and y are 1 and is 0 otherwise. (called a Half Adder). Submit Draw a circuit diagram for your expression below. T1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)č. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC). Write the Boolean expression that is equivalent to the following circuit. D 2. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert columradings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings.3. Draw the combinational circuit that directly implements the Boolean expression on logisim/circuit lab. If drawn, no extra credit. No excuses. 15 points + 10 points extra credit if drawn and labeled with circuit drawing tools. a. xyz + (y' + z) b. x + xy + y'z c. (x (y z )) + (xz)'