What is the simplified algebraic expression for the logic gate shown? X xa Y OX + Y OX.Y OX.Y ΟΧΘΥ X+Y Z
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- 2. Design 6 lines to 64 lines Decoder using IC# 74138. You can use other logic gates/IC, if necessary.Prove the equality of the following boolean expression (AB)'.(CD)'=(AB+CD)'.state this theorem.implement using logic gates alsoUse Digital Logic Simulator Fill-in the blank boxes with the correct LOGIC GATE/ Full/Half Adder
- Discreet Mathematics Create the logic circuit diagram for F= XY’ + XZWhat is the correct input combination for the given logic circuit below if the output is F = 1? a. 1, 1, 1 b. 0, 0, 1 c. 0, 1, 0 d. 1, 0, 0Design a circuit with logic gates that tell us if a number less than 10, codedin binary, it is either prime (1) or not (0). Minimum up to 16 combinations.True tableII. Boolean functionIII. Simplification procedure by any of the methods
- Design 2 bits counter that count down by using T flip flop when input x =1 and counts upwhen x=0. Find the following1. Derive the state table2. Derive the K‐map simplifications.3. Draw the logic diagramChoose the logic gate and the mask needed to set the most significant bit of any four digit binary number. AND OR XOR 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111Design a three bit synchronous binary counter that counts two by two with T-flipflops,continously. Output should be one when the counter equals maximum number.a. Draw the exitation table b. Draw the corresponding state diagram. c. Tabulate the state table for the sequential circuit. d. Draw the logic diagram of the circuit.
- . Design a combinational circuit to convert a 4-bit binary number to gray code using(a) standard logic gates,(b) decoder,(c) 8-to-1 multiplexer,(d) 4-to-1 multiplexer.Draw the logic diagram to implement the following Boolean expression using only NAND gates.Y= A’(B+C) +D(a) Differentiate comparatively the analogue and digital representations. (b) If 33210= Xs then find the value of X. (c)1001011.0112 to equivalent decimal (d) What do you know about the logic gates? Explain the AND gate in details. 410 A