Computational logic
Revision booklet
Why data is represented in computer systems in binary form?
Answer:
Label the 3 logic gates correctly: NOT AND OR in the first box underneath each symbol. Then, complete the truth tables
for each logic gate.
A
B
A
B
A
A B Output
0 0
0 1
1 0
1 1
A B Output
0 0
0 1
1 0
1 1
A Output
0
1
Logic diagram for the expression: A AND C
Answer:
Logic diagram for the expression: (A OR B) AND C
Answer:
Logic diagram for the expression: NOT A OR B
Answer:
Logic diagram for the expression: (A AND B) OR (C AND D)
Answer:
Logic diagram for the expression: NOT(A AND B)
Answer:
Applying logical operators in truth tables to solve problems
A
B
N
Q
A B N Q
0 0
0 1
1 0
1 1
A
B
N
Q
A B N Q
0 0
0 1
1 0
1 1
Applying logical operators in truth tables to solve problems
A
B
C
A B C N E Q
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
Q
N
E
Applying logical operators in truth tables to solve problems
A
B
C
A B C S E Q
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
Q
S
E
Applying logical operators in truth tables to solve problems
A
B
C
A B C Z E Q
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
Q
Z
E
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
Write out the Boolean expressions to represent the circuits below.
Answer:
A burglar alarm system is to sound if a master switch is on and pressure pad is stood on.
A master switch (M) A pressure pad (P) An alarm bell (B)
Write the Boolean expression for this system and draw its logic circuits
Answer:
A burglar alarm system is to sound if a master switch is on and either a light beam is broken or pressure pad is stood on.
A master switch (M) A pressure pad (P) A light sensor (L) An alarm bell (B)
Write the Boolean expression for this system and draw its logic circuits
Answer:
An automobile factory needs a logic circuit to perform a specific task in its new line of cars. These cars will be
equipped with a “headlight left on” alarm that sounds any time that these two conditions are met: headlights on
and ignition switch off. Write the equivalent expression and draw the logic circuit that implement this alarm.
Write the Boolean expression for this system and draw its logic circuits
Answer:

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Computational logic gate logic_revision.pptx

  • 2. Why data is represented in computer systems in binary form? Answer:
  • 3. Label the 3 logic gates correctly: NOT AND OR in the first box underneath each symbol. Then, complete the truth tables for each logic gate. A B A B A A B Output 0 0 0 1 1 0 1 1 A B Output 0 0 0 1 1 0 1 1 A Output 0 1
  • 4. Logic diagram for the expression: A AND C Answer:
  • 5. Logic diagram for the expression: (A OR B) AND C Answer:
  • 6. Logic diagram for the expression: NOT A OR B Answer:
  • 7. Logic diagram for the expression: (A AND B) OR (C AND D) Answer:
  • 8. Logic diagram for the expression: NOT(A AND B) Answer:
  • 9. Applying logical operators in truth tables to solve problems A B N Q A B N Q 0 0 0 1 1 0 1 1 A B N Q A B N Q 0 0 0 1 1 0 1 1
  • 10. Applying logical operators in truth tables to solve problems A B C A B C N E Q 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Q N E
  • 11. Applying logical operators in truth tables to solve problems A B C A B C S E Q 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Q S E
  • 12. Applying logical operators in truth tables to solve problems A B C A B C Z E Q 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Q Z E
  • 13. Write out the Boolean expressions to represent the circuits below. Answer:
  • 14. Write out the Boolean expressions to represent the circuits below. Answer:
  • 15. Write out the Boolean expressions to represent the circuits below. Answer:
  • 16. Write out the Boolean expressions to represent the circuits below. Answer:
  • 17. Write out the Boolean expressions to represent the circuits below. Answer:
  • 18. Write out the Boolean expressions to represent the circuits below. Answer:
  • 19. Write out the Boolean expressions to represent the circuits below. Answer:
  • 20. Write out the Boolean expressions to represent the circuits below. Answer:
  • 21. Write out the Boolean expressions to represent the circuits below. Answer:
  • 22. Write out the Boolean expressions to represent the circuits below. Answer:
  • 23. Write out the Boolean expressions to represent the circuits below. Answer:
  • 24. A burglar alarm system is to sound if a master switch is on and pressure pad is stood on. A master switch (M) A pressure pad (P) An alarm bell (B) Write the Boolean expression for this system and draw its logic circuits Answer:
  • 25. A burglar alarm system is to sound if a master switch is on and either a light beam is broken or pressure pad is stood on. A master switch (M) A pressure pad (P) A light sensor (L) An alarm bell (B) Write the Boolean expression for this system and draw its logic circuits Answer:
  • 26. An automobile factory needs a logic circuit to perform a specific task in its new line of cars. These cars will be equipped with a “headlight left on” alarm that sounds any time that these two conditions are met: headlights on and ignition switch off. Write the equivalent expression and draw the logic circuit that implement this alarm. Write the Boolean expression for this system and draw its logic circuits Answer: