Given Boolean function is : F= x y + x′ y′ + y′ z a. Implement it with only OR & NOT gates b. Implement it with only AND & NOT gates
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Given Boolean function is :
F= x y + x′ y′ + y′ z
a. Implement it with only OR & NOT gates
b. Implement it with only AND & NOT gates
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- Construct the digital circuit with Logisim (or another online simulator) for following expression. The circuit has one output Q and three inputs A, B, and C. Also write the truth table. Q = ((A ⊕ B) + C̅)((A̅ ∙ B) + C)(A̅ + B + C̅) Solve asapConstruct circuits for the Boolean expression.(P ∧ ∼Q) ∨ (∼P ∧ R)Draw the circuit that corresponds to the following Boolean expression: (P ∧ Q) ∨ (∼ P∧ ∼ Q).
- Design a circuit to implement the following truth table, where A and B are inputs and Z is the output. Give the Boolean equation that implements the circuit in the space provided. There may be more than one possible correct answer. You only need to list one possible correct answer. Input Output A B Z 0 0 1 0 1 0 1 0 1 1 1 1Using the truth table below ( An example sum-of-products expression is (A+B+C)(A+B+C')(A+B'+C)(A'+B+C).) a. Write a product-of-sums Boolean expression bexp4 for the output ? of the truth table b. Draw a circuit that is a direct translation of bexp4 without any simplification. For the circuit, use a layout that is analogous to the layout of the sample circuit below (where the and and or gates are appropriately swapped).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.
- Implement the following Boolean expression with exclusive- OR and AND gates: F=AB′CD′+A′BC D′+AB′C′D+A′BC′DDraw the circuit diagram of a 2-digit calculator that adds, subtracts, multiplies and divides and can add up to 99.Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the output((¬p∨¬r)∧¬q)∨(¬p∧(q∨r))from input bits p,q, and r.
- Truth Tables and Logic Gates /Circuits~ - NOT1. Derive truth tables for the following Boolean expressions:a) ~(A + B)b) ~ A + (~ B)c) (~ A) + Bd) (~ A). (~ B)e) (~ A). (A + (~ B)) 2. Derive truth tables for:a) A.B + (~C)b) A. (BC)c) (AB).Cd) (~ A) .(B + C)e) ~(AB) + C 3. Derive truth tables for the following; inputs are A, B and C.a) W is True if an even amount of inputs is True, and False otherwise.b) W is True if exactly one input is true, and False otherwise.c) W is true if A and C are the same, and False otherwise. 4. Draw the logic circuits for the following Boolean expressions:a) W = (AB) + (NOT C)b) X = (~A). (B + C)c) Y = ~(AB) + CImplement the Boolean function with NOR and inverter gates? F=xz+x'z'+x'y Your answer: F= (x' + z)' + (x+z)' + (x+y')' F= (x' + z')' + (x+z')' + (x+y')' F= (x' + z')' + (x+z)' + (x+y')'Consider a boolean function with input a, b, c, and d. The value of the inputs can be defined as V = 8*a + 4*b + 2*c + d. The output of this function is true if V mod 4 is 1 or 2 or 3.