Draw truth tables of the following Boolean functions.

  • F = X’Y’Z + YZ + XY’Z
X Y Z X’ Y’ F = X’Y’Z + YZ + XY’Z
0 0 0 1 1 1
0 0 1 1 1 1
0 1 0 1 0 0
0 1 1 1 0 1
1 0 0 0 1 0
1 0 1 0 1 1
1 1 0 0 0 0
1 1 1 0 0 1
  • F = XZ + Y’Z + XYZ
X Y Z F = XZ + Y’Z + XYZ
0 0 0 0
0 0 1 1
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 1
1 1 0 0
1 1 1 1
  • F = YZ + Y’Z + Z’YZ + XY’Z
X Y Z F = YZ + Y’Z + Z’YZ + XY’Z
0 0 0 0
0 0 1 1
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 1
1 1 0 0
1 1 1 1
  • F = X’Y + X’Y’
X Y F = X’Y + X’Y’
0 0 1
0 1 1
1 0 0
1 1 0

 

Related Questions:

  1. Draw the graphical symbols of AND, OR, NOT, NAND, and NOR gates and write their functions.
  2. Explain how NAND and NOR gates can be created using AND, OR, and NOT gates.
  3. What is a logic gate?
  4. Define truth table.
  5. Define Boolean function.
  6. What is Karnaugh map and why is it used?
  7. Draw three-variable Karnaugh map for variables X, Y, and Z.
  8. What will be the output of the following program?
  9. What is the difference between an integer and a floating-point number in C?
  10. Explain the use of the modulus (%) operator with an example.
  11. What happens if we do not include stdio.h in a C program?
  12. Write the syntax of an if-else statement in C.
  13. Why do we use the return 0 statement in the main function of a C program?
  14. Write a program to check whether a given number is even or odd using the modulus operator.
  15. Explain different types of format specifiers used in C with examples.
  16. Write a program that takes input from the user for marks of five subjects, calculates the percentage, and prints the grade based on the following criteria: 90% and above: A+ 80%-89%: A 70%-79%: B 60%-69%: C Below 60%: Fail
  17. Differentiate between if and if-else selection structures.
  18. Differentiate between else-if and switch selection structures. 
  19. What is a nested selection structure?
  20. Write the following statement using the if-else statement.