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Curs 3 - Bazele logice ale calculatoarelor - derivat

Curs 3 - Bazele logice ale calculatoarelor - derivat

Curs 3 - Bazele logice ale calculatoarelor - derivat

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f ( x,<br />

y,<br />

z)<br />

= x ⋅ y ⋅ z = x + y + z<br />

Poarta SI-NU (NAND) cu 4 intrari<br />

x<br />

y f<br />

z<br />

u<br />

f ( x,<br />

y,<br />

z,<br />

u)<br />

= x ⋅ y ⋅ z ⋅u<br />

= x + y + z + u<br />

Poarta SAU-EXCLUSIV (XOR) cu 2 intrari<br />

x f<br />

y<br />

f ( x,<br />

y)<br />

= x ⊕ y = x ⋅ y + x ⋅ y<br />

Portile <strong>logice</strong> se pot utiliza pentru implementarea de functii de<br />

comutatie si realizarea de scheme <strong>logice</strong> combination<strong>ale</strong>.<br />

Exemplu. Sa se implementeze cu porti <strong>logice</strong> functia de comutatie:<br />

f ( x,<br />

y,<br />

z)<br />

= x ⋅ y ⋅ z + x ⋅ y ⋅ z + x ⋅ y ⋅ z + x ⋅ y ⋅ z<br />

Functia nu poate fi simplificata ca suma de produse si deci va fi<br />

implementata chiar expresia de comutatie data (fig.3.2.2):<br />

7

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