L3 INFORMATIQUE - Tableau de Karnaugh et Table de vérité
Trois variables
| $f$ |
$B.C$ |
${\ov B}.C$ |
${\ov B}.{\ov C}$ |
$B.{\ov C}$ |
| $A$ |
$7$ |
$5$ |
$4$ |
$6$ |
| ${\ov A}$ |
$3$ |
$1$ |
$0$ |
$2$ |
| |
|
Expression :
$A.B.C$ $+$
$A.B.{\ov C}$ $+$
$A.{\ov B}.C$ $+$
$A.{\ov B}.{\ov C}$ $+$
${\ov A}.B.C$ $+$
${\ov A}.B.{\ov C}$ $+$
${\ov A}.{\ov B}.C$ $+$
${\ov A}.{\ov B}.{\ov C}$
Quatre variables
| $f$ |
$C.D$ |
${\ov C}.D$ |
${\ov C}.{\ov D}$ |
$C.{\ov D}$ |
| $A.B$ |
$15$ |
$13$ |
$12$ |
$14$ |
| ${\ov A}.B$ |
$7$ |
$5$ |
$4$ |
$6$ |
| ${\ov A}.{\ov B}$ |
$3$ |
$1$ |
$0$ |
$2$ |
| $A.{\ov B}$ |
$11$ |
$9$ |
$8$ |
$10$ |
| |
|
Expression :
$A.B.C.D$ $+$
$A.B.C.{\ov D}$ $+$
$A.B.{\ov C}.D$ $+$
$A.B.{\ov C}.{\ov D}$ $+$
$A.{\ov B}.C.D$ $+$
$A.{\ov B}.C.{\ov D}$ $+$
$A.{\ov B}.{\ov C}.D$ $+$
$A.{\ov B}.{\ov C}.{\ov D}$ $+$
${\ov A}.B.C.D$ $+$
${\ov A}.B.C.{\ov D}$ $+$
${\ov A}.B.{\ov C}.D$ $+$
${\ov A}.B.{\ov C}.{\ov D}$ $+$
${\ov A}.{\ov B}.C.D$ $+$
${\ov A}.{\ov B}.C.{\ov D}$ $+$
${\ov A}.{\ov B}.{\ov C}.D$ $+$
${\ov A}.{\ov B}.{\ov C}.{\ov D}$
