6. For the logic circuit below complete the truth table. A B. D 1 1 B.
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- Problem: Derive the logic expressions for a circuit that compares two unsigned numbers: X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.Consider the multiplexer based logic circuit shown in the figure MUX MUX 1 Select one: a. W S1' S2' O b. W + S2 + S1 c. WS1 + WS2 + S1 S2 O d. WeS1es22.1 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 C
- Analyze the logic function of the circuit A₁ B₁ CH D -S₁Task 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram EDHAIB Logic Converter 000000O00 ABCDEFGH Conversions 1OT AB + 10E + NAND AB C'+A B'C+AB C+AB C+ABC+ABC XA B Prepare the truth table of the logic circuit (logic circuit) on the right. Then, using the truth table, write the function you have obtained according to the SOP (minterm) without any simplification and draw the logic circuit for the new function you have obtained. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.
- Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'CBasic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B XTask 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Y Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram
- Draw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = FQuestion 2 a) Design a circuit with 4 inputs A, B, C, D and a single output F. • If A and B are equal, the output F is an odd function of C, D. If A and B are different, the output F is C OR D. (Hint: please obtain truth table and Karnaugh map also draw the logic circuit diagram with XOR, AND, OR gates.)4. For the logic circuit shown in Figure below write the required input condition (A,B,C) to make the output X =1. A B