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- Question 4: For the number display below, we would like to identify Boolean expression for LEDS (outputs a through g2) that indicate numbers 11, 14, and 15. a. Please write the Boolean expressions for the two LEDS (outputs a through g2) based on the input signals So to S3. You do not need to simplify the Boolean expressions. b. Please draw the logit circuit for outputs a through g2 a2 Logic circuit 2. 88 5,5,5,50Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..(m. Simplify the given expression using Boolean algebra and implement the simphifie expression using basic logic gates. Y = A.B.C+ A.B.C + A.B.C + A.B.C
- 2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S CCombinational Circuits - Design Procedure Design a logic circuit that has three inputs A, B, C and whose output will be HIGH only when a majority of the inputs are HIGH. 3-A. Generate the truth table. 2-B. Obtain the KMAP. 3-C. Provide the Simplified Boolean Function. 3-D. Generate the Logic diagram of the simplified Boolean function.Draw the logic circuits for the following Boolean expressions and simplify the logic expressions using theorems of Boolean algebra. (Ā+B)(A+ Ē + D)D
- 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?Basic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B X*A traffic light system uses logic gates as part of the control system. The system is operated when the output D has the value . This happens when either (a) signal A is red or (b) signal B is green and signals B and C are both red( NOTE: Assume for this problem that red=0 and green =1) Deduce the truth table for the system and the Boolean expression from the truth table, Hence Design a logic circuit or network
- Q2 Determine the Boolean expression for the logic circuit shown in Figure below. Simplify the Boolean expression using Boolean Laws and De Morgan's theorem. Redraw the logic circuit using the simplified Boolean expression and develop its truth table. A Co- FSolve the following in Boolean Algebra: (BC'+A'D)(AB'+CD') A. Simplify the given function using Boolean simplification. B. Draw the logic diagram of the given equation. C. Draw the logic diagram of the simplified equation. D. Give the number of of logic gates used in the given design E. Give the number of logic gates used in the simplified design.b) Solve the following questions for the given equation Y = Ā(B + C)(A+ B + C) + A.BC i) Draw the logic circuit diagram using basic logic gates. ii) Simplify the given equation using Boolean Laws and theorems iii) Draw the logic circuit of the simplified expression using basic logic gates