Постройте таблицы истинности для следующих логических выражений:
1)B&(A∨B);
—
2)A&(B∨B);
3)A&(A∨B∨C);
————–=
4)A∨B∨C.
1)B&(A∨B);
—
2)A&(B∨B);
3)A&(A∨B∨C);
————–=
4)A∨B∨C.
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Answers & Comments
1.
B&(AvB) = B&A v B&B = B&A v B = B&(A v 1) = B
2.
A&(Bv!B) = A&1 = A
3.
A&(AvBvC)=A&A v A&B v A&C = A v A&B v A&C = A&(1vBvC)=A
4.
!(AvBv!C)