Construct a karnaugh map for the logic function below with four inputs A, B, C, D, and output E. Then find the minimum sop and minimum POS expressions for E. E=Σm(2,3,4,5,6,7, 11, 15)
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- Boolean Function F(A,B,C,D) = { m (1,2,5,8,11,15), don't cares d(A,B,C,D) = { m (3,10) a. Using a K-map simply F in S.O.P. form b. Draw the logic circuit c. Using a K-map simply F in P.O.S. form d. Draw the logic circuit e. Which form has a lower gate input cost?UX design problem: Design a logic circuit that has (3) signal inputs: A1, A0 Select (S) 1. Draw the logic gates and truth table and use a simple KMAP: Hint: A1' A0' ... rows and S' S columns (set your KMAP) from your Truth Table Complete the table A1 A0 S Z 0 0 0 0 0 0 1 0Consider 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 F
- Design 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 functionDerive the Boolean expression for the logic circuit shown below in the minimum SOP pls show workPlease answer this question with as much details possible, so I can understand. This is for Electrical Engineering.
- A logic circuit has inputs A, B, and C. The output of the circuit is given by D=∏M( 1, 3, 4, 6 ) a. Construct the Karnaugh map for D. b. Find the minimum SOP expression. c. Find the minimum POS expression.1) For the expression f(A,B,C) = P0 + P5 + P6 + P7 , set the output in terms of one of the inputs and design a 2x4 multiplexer. (Hint: Use a truth table) 2) Design a combinational circuit using full adders to multiply a 4-bit unsigned number by 2. Draw a logic diagram using the block diagram of full adder as the building block.8. Consider the table below. A, B, C represent logic-variable input signals. F is an output. ABCF 000 0 0 01 0 0101 0110 1000 1011 1100 111 11 a) Using the product-of-sums approach, write a Boolean expression for F b) Repeat using sum-of-products.
- A digital circuit for adding two binary digits has two inputs: the two digits to be added; and two outputs: the units bit and the twos bit of the answer. (a circuit of this kind is called half adder.) By treating this as two circuits, each with a single output, use Karnaugh maps to obtain a Boolean expression for each circuit, and draw the corresponding circuit diagrams.(a) A logic circuit shown in Figure Q.3 has a 4-bit input A and B, three 4-bit wide 2:1 muxes, a 4-bit adder, a 4-bit output F, and a carry flag C. For the given Table Q.3, fill in the value of output F and carry flag C for the given value of A, B, S0, S1 and S2. 51 52 1001 Flag C 0011 Figure Q.3 Table Q.3 A So S1 S2 F Flag C 0001 1000 0010 1001 1 1 0011 1101 0100 1101 1110 0111 1Given a sequential logic circuit expression asX(t+1) = p'X+pYY(t+1) = pX'+p'Ywhere X and Y are the two flip-flop outputs and p is the main external input.Draw the state transition table for the above-given logic function.Also, draw the state transition diagram associated with it.And What is the behavior of the circuit?