Combinational logic functions and Boolean algebra, logical tables, Karnaugh maps, minimization, solid execution logic and combinational logic functions
Examples for practice

Use logical tables verify the validity of the term:

  1. (032)
  2. (033)
  3. (034)
  4. (035)
  5. (036)
  6. (037)
  7. (038)
  8. (039)
  9. (040)
  10. (041)

solution

SOLUTION
  1. L = P
  2. L = P
  3. L = P
  4. L = P
  5. L = P
  6. L = P
  7. L = P
  8. L ≠ P
  9. L = P
  10. L ≠ P

Simplify and verify the veracity of using logical tables.

(042)

(043)

(044)

solution

SOLUTION

(045)

(046)

(047)

Example 4.5

Find the time course of the output signal of a logic function

(048)

solution

SOLUTION

Example 4.6

Write the logical table for the function of four variables, where Y = 1, where only two inputs is 0, find a mathematical expression using Karnaugh maps.

solution

SOLUTION

(049)

(050)

Example 4.7

Write a logical table for the function of the three variables, where Y = 1 if simultaneously on at least two inputs a value of 1, find the mathematical expression using Karnaugh map.

solution

SOLUTION

(051)

(052)

Example 4.8

Write the logical table for the function of four variables, where Y = 1, if currently only three inputs a value of 1, find the mathematical expression using Karnaugh maps.

solution

SOLUTION

(053)

(054)