: Implement the following Boolean functions by using: PLA(Programming Logic Array).and design logic circuit f1(A,B,C,D)=E m(1,3,4,5,6,7,12,14). f2(A,B,C,D)=Em (1,3,4,6,9,11,12,14). f3(A,B,C,D)=Em (0,2,4,6,8,9,10,11,12,13,14,15). f4(A,B,C,D)=E m(0,1,2,3,4,5,7,8,9,10,11,13,15).
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- Electrical Engineering Task Figure shows a BCD counter that produces a four-bit output representing the BCD code for number of pulses that have been applied to the counter input. In particular, the DCBA outputs will never represent a number greater than 1001,-91, (MOD-10). (MSB) Logic BCD counter circuit HIGH only when DCBA=210-310, or 910 a. Draw the logic circuit using the minimum expression and then explain its operation. B6. For the follow logic circuit system, the output f is: 5 (A) ab. (B) a + b. (C) a'+b'. (D) a'b'. a bFigure Q2(e) shows a programmable logic array (PLA) unit with two inputs, four columns, and three outputs. Show the steps to implement a one-bit comparator using this PLA. Note that the output should have equal (EQ), less than (LT), and greater (GT) status. A, 02 Figure Q2(e)
- Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).Design a logic circuit with four inputs and one output that will produce "l" in the output only if the input patterns have odd number of zeros. a) Write the Boolean equation for the circuit in the simplest SOP form. b) Draw the logic circuit for the above equation in its simplest form. c) Re Design the logic circuit using NANI) gates only?An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.
- (b) Write the Boolean Expression from the given logic circuit in Figure Q5 (B). A C BO D Figure Q5 (B)4-6. A sequential circuit with two D flip-flops A and B and input X and output Yis specified by the following input equations: Y = A + B D = X + B D = XA (a) Draw the logic diagram of the circuit. (b) Derive the state table. (c) Derive the state diagram. (d) Is this a Mealy or a Moore machine?MNO P D For the given logic circuit, find the following: a. Logic Equation or Output b. Simplified logic expression using Boolean Algebra c. Simplified circuit S
- i) Analyze the logic circuit in Figure Q5(c) and obtain the Boolean expressionfor Z.ii) Construct a truth table from the logic circuit in Figure Q5(c) and explain it.Consider the circuit below. The switches are controlled by logic variables such that, if A is high, switch A is closed, and if A is low, switch A is open. Conversely, if B is high, the switch labeled is open, and if B is low, the switch labeled is closed. The output variable is high if the output voltage is 5V, and the output variable is low if the output voltage is zero. a. Write a logic expression for the output variable. b. Construct the truth table for the circuit. A Logic 1 5V(+ B C Logic 0 R1. Design a combinational logic circuit that compares two 4-bit numbers A and B. The circuit should output the relation of the two inputs. Use an available TTL IC for the design.