1. Full subtractor has ______ number of inputs. 2. The flip-flop is used to store data. 3. A mod-10 counter can count up to __________. 4. Convert the decimal number 750 to its exc... 1. Full subtractor has ______ number of inputs. 2. The flip-flop is used to store data. 3. A mod-10 counter can count up to __________. 4. Convert the decimal number 750 to its excess-3 form. 5. If A and B are the inputs to a half subtractor then what is the logic expression for Borrow out? 6. In a 2-bit MUX, the number of select lines will be ________. 7. A 4-bit binary counter what is the number of states? 8. Convert the binary number 111011 to its equivalent gray code. 9. If the number of variables in a K-map is n then the number of cells in K-map is ________. 10. Design a 3-bit Asynchronous Down Counter. 11. Represent 217.5 in IEEE 754 single precision format. 12. State De Morgan's Theorems and proof using truth table. 13. Design a 3-bit Asynchronous Up-Down Counter. 14. Design a Decade ripple counter. 15. Explain the method of frequency division in brief. 16. Convert the binary number 10110 to its equivalent decimal number. 17. Convert the binary number 10110 to its equivalent octal number. 18. Convert the binary number 10110 to its equivalent hexadecimal number. 19. Convert the binary number 10110 to its equivalent gray code. 20. Determine the 1's complement of the binary number 10110. 21. Write a short note on Parity Generator and Parity Checker. 22. Explain XOR gate and XNOR gate with logic symbol, logic expression, and truth table. 23. Find the complement of the Boolean expression: Y=ABC+A'B'AC'BC. 24. Prove that (A+B)(A')B(C+D)=A+B'C. 25. Simplify the following Boolean expression: A'B+A'BCD'Y=Σ(3,4,6,7,11,12,13,14,15). 26. Describe full adder with block diagram, truth table, Boolean expression, logic circuit. 27. Draw a full adder using two half adders. 28. Using the K-map method simplify the Boolean function to obtain i) minimal SOP ii) minimal POS. Y={m0,m2,m3,6,7,m10,m11,15}. 29. Derive the SOP expression from the given truth table where A, B, C are inputs and Y is the output.
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The question is asking for assistance with a range of topics likely related to digital electronics, including logic gates, truth tables, binary conversions, and circuit design. Each question appears to focus on specific academic tasks related to these topics.
Answer
1. 3 2. Yes 3. 10 4. 1001110101 5. A'B 6. 1 7. 16 8. 101010 9. 2^n 10-29 varying solutions
- 3 2. Yes 3. 10 4. 1001110101 5. A'B 6. 1 7. 16 8. 101010 9. 2^n 10. Designs vary 11. 0 10000110 10110010000000000000000 12.
De Morgan's Theorems:
- (A.B)' = A' + B'
- (A+B)' = A'.B' Proof: Use truth tables.
- Designs vary 14. Designs vary 15. Frequency division divides input frequency by a factor using flip-flops. 16. 22 17. 26 18. 16 19. 111011 20. 01001 21. Parity generators/checkers ensure data integrity using even or odd parity. 22.
- XOR Gate Symbol: Logic: A ⊕ B Truth Table: 23.
- Complement: Y'(Boolean simplified not provided) 24. Shown equation reduces to A+B'C. 25. Boolean simplification for minimal representation 26. Full adder uses 2 half adders 27. Diagram explanation 28. K-map provides SOP/POS simplification 29. From truth table derive SOP
Answer for screen readers
- 3 2. Yes 3. 10 4. 1001110101 5. A'B 6. 1 7. 16 8. 101010 9. 2^n 10. Designs vary 11. 0 10000110 10110010000000000000000 12.
De Morgan's Theorems:
- (A.B)' = A' + B'
- (A+B)' = A'.B' Proof: Use truth tables.
- Designs vary 14. Designs vary 15. Frequency division divides input frequency by a factor using flip-flops. 16. 22 17. 26 18. 16 19. 111011 20. 01001 21. Parity generators/checkers ensure data integrity using even or odd parity. 22.
- XOR Gate Symbol: Logic: A ⊕ B Truth Table: 23.
- Complement: Y'(Boolean simplified not provided) 24. Shown equation reduces to A+B'C. 25. Boolean simplification for minimal representation 26. Full adder uses 2 half adders 27. Diagram explanation 28. K-map provides SOP/POS simplification 29. From truth table derive SOP
More Information
These concepts cover basics of digital electronics like counters, subtraction circuits, and data encoding.
Tips
For conversions, ensure binary encoding like excess-3 or gray code is correctly understood.
Sources
- Full Subtractor in Digital Logic - GeeksforGeeks - geeksforgeeks.org
- Solved 2. A full subtractor is one that takes three inputs: | Chegg.com - chegg.com
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