A) A * !(!B + C) = A*(B * !C) = A*B*!C
б) !(A+!B) + !(A+B) + A*B = !A * B + !A * ! B + A * B = !A * (B + !B) + A * B = !A + A * B = A(1 + B) = !A + B = (A => B)
в) A + !(A + B) + !A * B = A + (!A * !B) + !A * B = (A + !A) * (A + !B) + !A * B = (A + !B) + !A = (A + !A) + !B = 1
г) !(A + !B + !C) = !A * B * C
д) (A + B) * (!A + B) * (!A + !B) = (B + A * !A) * (!A + ! B) = B * (!A + !B) = B * !A + B * !B = B * !A
е) A + !(B * !C) + !(!A + B + !C) = A + !B + C + A * !B * C = A + !B + C * (A * !B + 1) = A + !B + C
ж) (A + B + C) * !(!A * !B) + C= (A + B + C) * (A * B) + C = A * (A * B) + B * (B *A) + C * (A * B) + C = A * B + A * B * C + C = (A * B) * (1 + C) + C = A * B + C
з) A * !(!C + !B) + !(!A + B) * C + A * C = A * C * B + A * !B * C + C * A = (A * C) * (!B + B) + C * A = A*C + C*A = A*C