DON’T CARE CONTION <ul><li>RULE:- </li></ul><ul><li>Karnaugh map using </li></ul><ul><li>Encircle the actual 1s on the kar...
<ul><li>Example:- </li></ul><ul><li>F(w,x,y,z)= £( 1,3,7,11,15) </li></ul><ul><li>Has the don’t care contion:- </li></ul><...
Karnaugh map:- Yz  Yz  Yz  Yz WX WX WX WX F(w,x,y,z)=YZ+WZ 0 1 0 0 0 1 0 0 0 1 X 0 X 1 1 X
SUM OF PRODUCT &PRODUCT  OF SUM <ul><li>PRODUCT TERM  </li></ul><ul><li>SUMTERM </li></ul><ul><li>SUM OF PRODUCTS EXPRESSI...
<ul><li>PRODUCT OF SUM EXPRESSION </li></ul><ul><li>Example:- </li></ul><ul><li>y=(B+C).(B+C) </li></ul>
<ul><li>TRUTH TABLE:- </li></ul>0 0 1 1 0 0 1 0 0  0  0 0  0  1 0  1  0 0  1  1 1  0  0 1  0  1 1  1  0 1  1  1 O/P  Y A  ...
SOP DIAGRAM:- <ul><li>A  A  B  B  C  C </li></ul>Y= ((B.C).(B.C))
POS DIAGRAM:- A  A  B  B  C  C y=(B+C).(B+C)
BCD ADDER:- <ul><li>8+7=15 1000+0111 </li></ul><ul><li>(8)(4)(2)(1) </li></ul><ul><li>  1  0  0  0 </li></ul><ul><li>+ 0  ...
MULTIPLEXERS:- M control signals  n inputs Signal multiplexer  1 o/p signal
<ul><li>TRUTH TABLE:- </li></ul>DIAGRAM:- I 3 I 2 I 1 I 0 S1 S0 I 0 I 1 I 2 I 3 Y 0 1 0 1 0 0 1 1 S0 S1
DEMULTIPLEXER:- M control signals  n out puts Signal Demultiplexer  1 i/p signal
<ul><li>Truth table </li></ul>D0=ABE D1=ABE D2=ABE D3=ABE 1  0  0  0 0  1  0  0 0  1  0  0 0  0  0  1 0  0  0  1 0  0 0  1...
<ul><li>Diagram:- </li></ul>E  A  B D0 D1 D2 D3
Upcoming SlideShare
Loading in...5
×

digital

301

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
301
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
4
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

digital

  1. 1. DON’T CARE CONTION <ul><li>RULE:- </li></ul><ul><li>Karnaugh map using </li></ul><ul><li>Encircle the actual 1s on the karnaugh mapin largest grops that we can fint the by also treating the don’t care as 1s , </li></ul><ul><li>1s have been including grops,don’t care by visualizing them as 0s. </li></ul>
  2. 2. <ul><li>Example:- </li></ul><ul><li>F(w,x,y,z)= £( 1,3,7,11,15) </li></ul><ul><li>Has the don’t care contion:- </li></ul><ul><li>d(w,x,y,z)= £(0,2,5) </li></ul>
  3. 3. Karnaugh map:- Yz Yz Yz Yz WX WX WX WX F(w,x,y,z)=YZ+WZ 0 1 0 0 0 1 0 0 0 1 X 0 X 1 1 X
  4. 4. SUM OF PRODUCT &PRODUCT OF SUM <ul><li>PRODUCT TERM </li></ul><ul><li>SUMTERM </li></ul><ul><li>SUM OF PRODUCTS EXPRESSION </li></ul><ul><li>Example:- </li></ul><ul><li>(1) Y= ((B.C).(B.C)) </li></ul>
  5. 5. <ul><li>PRODUCT OF SUM EXPRESSION </li></ul><ul><li>Example:- </li></ul><ul><li>y=(B+C).(B+C) </li></ul>
  6. 6. <ul><li>TRUTH TABLE:- </li></ul>0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 O/P Y A B C
  7. 7. SOP DIAGRAM:- <ul><li>A A B B C C </li></ul>Y= ((B.C).(B.C))
  8. 8. POS DIAGRAM:- A A B B C C y=(B+C).(B+C)
  9. 9. BCD ADDER:- <ul><li>8+7=15 1000+0111 </li></ul><ul><li>(8)(4)(2)(1) </li></ul><ul><li> 1 0 0 0 </li></ul><ul><li>+ 0 1 1 1 </li></ul><ul><li>1 1 1 1 ILLEGAL CODE </li></ul><ul><li>+ 0 1 1 0 ADD 6 </li></ul><ul><li>1 0 1 0 1 =5PERMITED CODE </li></ul><ul><li>WITH A CARRY GENARATED </li></ul>
  10. 10. MULTIPLEXERS:- M control signals n inputs Signal multiplexer 1 o/p signal
  11. 11. <ul><li>TRUTH TABLE:- </li></ul>DIAGRAM:- I 3 I 2 I 1 I 0 S1 S0 I 0 I 1 I 2 I 3 Y 0 1 0 1 0 0 1 1 S0 S1
  12. 12. DEMULTIPLEXER:- M control signals n out puts Signal Demultiplexer 1 i/p signal
  13. 13. <ul><li>Truth table </li></ul>D0=ABE D1=ABE D2=ABE D3=ABE 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 OUT PUT D0 D1 D2 D3 I/P A B ENABLE E
  14. 14. <ul><li>Diagram:- </li></ul>E A B D0 D1 D2 D3
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×