(b) A standard SOP expression is given as Y (A, B, C)= £M (1, 2, 3, 4, 5). (i) Draw the truth table. (ii) Write the SOP expression. (iii)Implement the expression using a PROM giving the necessary diagrams.
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- Q. For the combinational circuit given in the figure: (i) Determine the output expression Y. (ii) Simplified the output to a minimum form by using Boolean Algebra technique. Draw the circuit of the simplified form, and find the truth table. A B2. The Boolean Algebra expression is given as Q = Ā(BC + BC + BC) + ABC a. Convert this logical equation into an equivalent SOP term. b. Use a truth table to show all the possible combinations of input conditions that will produce the output Q. c. Draw a logic gate diagram for the expression. d. Simplify the expression Q using Boolean Algebra. e. Draw the logic gate diagram of the simplified output Q.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?
- i) Minimize the logic expression Y = BC + AC + AB using Boolean Algebra rules (Pleaseshow the steps). ii) Draw the simplified logic circuit based on the minimum expression obtained from (i).A BCQ a) Write the appropriate truth table for the given circuit. b) Write the boolean expression.Implement the following Boolean function using a 4 to 1 multiplexer and 8 to 1 multiplexer. F, (A, B,C) =(0.3.6) %3!
- 1. Derive a Boolean expression for the following digital circuit and sketch the true table. A B X C2.1 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 CINSTRUCTIONS: Provide the truth table Output Equation Draw Circuit Diagram
- Which figure represents the Boolean expression, where is the symbol for "exclusive OR"? WOXOYOZ (A) (B) (C) (D)4. Simplify the Boolean expression AB+(AC)`+AB`C(AB+C) 5. Use the Design Procedure to design a device that will change serial data to parallel data. 6. Simplify the given expression to its SOP form. Draw the logic circuit for the simplified SOP function.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.