• Support PF! Buy your school textbooks, materials and every day products Here!

Logic Gates

  • Thread starter JosephF
  • Start date
  • #1
14
0

Homework Statement



I'm studying logic gates and trying to create my first one.

Homework Equations



3. In a TV programme, the panel votes on new performers.
The panel consists of a Chairman (C) and three others (X, Y and Z) who each press a button to register their vote.

The SUCCESS light is switched on if:
Either The Chairman and at least one of the panellists vote yes
Or All three panellists vote yes

Otherwise the FAIL light is switched on.

Design a logic circuit which correctly switches each light on according to the voting of the panel.


The Attempt at a Solution



I've written all the statements our and managed to derive:

S = C AND (X OR Y OR Z) OR (X AND Y AND Z)

Which I think is correct. I'm now not sure where to go from here. I've googled but cant find any think relevant.

Regards,
 
Last edited:

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
4

Homework Statement



I'm studying logic gates and trying to create my first one.

Homework Equations



3. In a TV programme, the panel votes on new performers.
The panel consists of a Chairman (C) and three others (X, Y and Z) who each press a button to register their vote.

The SUCCESS light is switched on if:
Either The Chairman and at least one of the panellists vote yes
Or All three panellists vote yes

Otherwise the FAIL light is switched on.

Design a logic circuit which correctly switches each light on according to the voting of the panel.

The Attempt at a Solution



I've written all the statements our and managed to derive:

S = C AND (X OR Y OR Z) OR (X AND Y AND Z)

Which I think is correct. I'm now not sure where to go from here. I've googled but cant find any think relevant.

Regards,
I think you will want to be clear with your grouping.

S = (C Λ (X V Y V Z)) V ( X Λ Y Λ Z)
 
  • #3
14
0
Ah yes, that looks better.

Whats my next step? Do I need to input it into a truth table or do I go streight to the logic gates? Also, can and AND statement have more than 2 inputs?

Thanks,
 
  • #4
LowlyPion
Homework Helper
3,090
4
Ah yes, that looks better.

Whats my next step? Do I need to input it into a truth table or do I go streight to the logic gates? Also, can and AND statement have more than 2 inputs?

Thanks,
Sure you can put as many inputs into an And or Or or Nand or Nor as you want.

Unless you are asked for a Truth Table ... why bother?
 

Related Threads for: Logic Gates

  • Last Post
Replies
1
Views
358
  • Last Post
2
Replies
25
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
Replies
1
Views
527
Replies
3
Views
729
Replies
4
Views
1K
Replies
2
Views
13K
Top