Simplify the Boolean expression

3 replies · 3K views · last reply
Fatima Hasan
Messages
315
Reaction score
14

Homework Statement


Simplify the Boolean expression :
Boolean expression: A-bar B D + B C D + A B C-bar + A B-bar D + B C-bar D-bar + A D + A-bar B C


Homework Equations


-

The Attempt at a Solution


[/B]
Here is my work :

Step-by-step Boolean algebra simplification in seven lines, each line rewriting the previous expression, with red highlighting on the terms being combined (C + C-bar, D + D-bar, A + A-bar).


Step-by-step simplification of a Boolean expression, with overlines marking complements, ending in the result A-bar BC + B-bar C-bar D-bar + AD.


Could someone check my answer please ?
 
Attachments
  • Boolean expression: A-bar B D + B C D + A B C-bar + A B-bar D + B C-bar D-bar + A D + A-bar B C
    gif.gif
    1.3 KB · Views: 993
  • Step-by-step Boolean algebra simplification in seven lines, each line rewriting the previous expression, with red highlighting on the terms being combined (C + C-bar, D + D-bar, A + A-bar).
    gif.gif
    9.2 KB · Views: 1,294
  • Step-by-step simplification of a Boolean expression, with overlines marking complements, ending in the result A-bar BC + B-bar C-bar D-bar + AD.
    gif.gif
    4 KB · Views: 992
Fatima Hasan said:
Could someone check my answer please ?
Have you checked it with a Karnaugh Map yet?
 
berkeman said:
Have you checked it with a Karnaugh Map yet?
We haven't covered it yet .
 
I get the same answer with an online solver. By the way, that seems to be a very difficult question so well done for solving it without using a Karnaugh map (which like Berkeman suggests is far superior).
 
  • Like
Likes   Reactions: berkeman and Fatima Hasan