Implement the following logic function using only 3-8 decoders and logic gates. ?(?,?,?,?)= Σ?(2,4,6,8,10,14,15)
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Implement the following logic function using only 3-8 decoders and logic gates.
?(?,?,?,?)= Σ?(2,4,6,8,10,14,15)
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- A majority gate is a digital circuit whose output is 1 only if the majority of inputs are 1 otherwise the output is 0 for all other cases. Design a combinational logic circuit for 4-input majority gate. a. Construct the Truth table. b. Minimize POS Expression using K MAP c. Draw the combinational circuit for minimize POSConsider the multiplexer based logic circuit shown in the figure. W Do 0 MUX AF = W S₁ S₂ S₁ B F = WS₁ + WS2 + S1S2 Which one of the following Boolean functions is realized by the circuit? C F=W + S₁ + S₂ 0 DF=W S1 S₂ MUX S₂ FDesign a circuit that takes the numbers 0 through 7 as inputs (0=000 , 1= 001, 2=010, ...., 7=111)and produces an output of 1 if and only if the input is an even numbera. Draw the truth tableb. Write the functionc. Simplify the function by k-mapd. Draw the logic gates of the simplified function
- Simplify the expression f (A,B,C,D) = Sm (0,1,4,8,9,12,14,15) using K– map and realize the final expression using basic logic.what a logic function corresponds to the following arrangement? a.L =(S1 OR S2) AND (S3 OR S4)Consider a logic function with three inputs, A, B, and C, and three outputs, D, E, and F. The function is defi ned as follows: D is true if at least one input is true, E is true if exactly two inputs are true, and F is true only if all three inputs are true. Show the truth table for this function.
- A full adder takes three inputs, A, B, Cin, and produces two outputs, S, Cout. Explain the logic equation for the sum and carry-out bits. How can you implement this full adder using half adders?Answer this question, part (3). Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 001 001 011 010 010 011 110 100 111 101 101 110 100 111 Construct the truth table for the circuit. Derive the Sum-of-Products (SoPs) Boolean expression for each of the circuit outputs. Using Boolean algebra, simplify the expression you obtained in Part 2 above.Direction: Analyze the given circuit and find the following: Logic Expression Simplified Logic Expression using Boolean Algebra Simplified Circuit
- Simplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyż + wxỹz + wxyz + wxyz + wxỹz + wãyzUsing an 2 of 4-to-1 multiplexer and 1 of 2-to-1 multiplexer, design a logic circuit to realize the following Boolean function F(A,B,C) = m(2, 3, 5, 6, 7)Create a logic diagram out of this boolean expression. CD+BD+BC+AD+AC+AB Note: All inputs A B C and D must be together.