For the logic diagram provided, give the logic expression for the output F. 35ns 25ns 5ns 25ns F-( (A-B-C)' · (B-C')' Y
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- Which of the following statements accurately represents the best method of logic circuit simplification? a. Actual circuit trial and error evaluation and waveform analysis b. Boolean algebra and actual circuit trial and error evaluation c. Karnaugh mapping and circuit waveform analysis d. Karnaugh mapping and Boolean algebra. Design a logic circuit that controls an elevator door in a three-story building. The circuithas four inputs. M is a logic signal that indicates when an elevator is moving (M=1) or stopped (M=0).F1, F2 and F3 are floor indicator signals that are normally LOW, and they go HIGH only when theelevator is positioned at the level of that particular floor. For example, when the elevator is lined uplevel with the second floor, F2=1 and F1=F3=0. The circuit output is the OPEN signal which isnormally LOW and is to go HIGH when the elevator door is to be opened.1. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard forms
- Draw the logic diagram of the following Boolean expression after simplifying it: A+CD+(A+D’)(C’+D)Using the analysis technique where you first extract the truth table and then use it to derive the output’s logic expression, analyze the circuit. Record your results below. I added the circuit as an image Conclusion In your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression. 2.Again, in your own words, describe the process used to analyze a logic circuit where you first extract the logic expression and then derive the truth table.i)Simplify the expression in the image shown below using the Kamaugh map ii)Illustrate the results gotten on a logic circuit
- 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.Create a logic diagram out of this boolean expression. CD+BD+BC+AD+AC+AB Note: All inputs A B C and D must be together.Determine the simplified Sum of Product expression of Q1 and Q2 from the table using a K-Map, then draw the simplified logic diagram. SHOW KMAP WITH THE FINAL EXPRESSION & LOGIC DIAGRAM
- A combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?Consider the Boolean expression: u = wx + yz + wx'z' + w'y. (a) Draw the Karnaugh map for u.(b) Use the map in part (a) to obtain the Karnaugh map for u'.(c) Express u' as a minimal sum of products.(d) Design a simple logic network for u'.1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.