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Simplify the following boolean algebra expression:
~~A+(~~B x ~~C)+~~A x ~~~B
=A+(B x C)A~B
=(A+BC)A~B
=AA~B+BCA~B
=A~B+~BBCA
=A~B+0
=A~B
~( ~ (A + BC) + ~ (A * ~ B)) = ~~(A + BC) * ~~ (A * ~ B) = (A + BC)(A * ~ B) = A + B*~BC = A
~( ~ (A + BC) + ~ (A * ~B)) = (~~(A + BC)(~~(A * ~ B)) = (A + BC)(A * ~B) = A(1 + BC)(~B) = A(~B)
~ ( ~(A + B*C) + ~(A * ~B))
= ~(~A * (~B + ~C) + ~A + B )
= ~( ~A * ~B + ~A * ~C + ~A + B)
= ~(~A*~B) * (A + C) * A * ~B
= (A + B) * (A +C) * A * ~B
=(A + A*C + B*A) * A * ~B
= (A + A*C + A* B) * ~B
=A*B~ + A*C*B
correction:
= ~ ~ (A + B*C) * ~ ~(A*~B)
= (A + B*C) * A * ~B
= (A + A * B * C) * ~B
= A * ~B
~~A+(~~B * ~~C) +~~A * ~~~B = A+(B*C)+A*~B
= A+B*C+A*~B
= A+B*C+0
= A+B*C
~~A+(~~B x ~~C) +~~A x ~~~B
=A+(B xC) + A x ~B
=A~b+0
=A~b
~(~(A + BC) + ~(A~B) )
= ~~(A + BC) ~~(A~B)
= (A + BC)A~B
= AA~B + BCA~B
= A~B + B~BCA
= A~B + 0
= A~B
~~A +(~~B x ~~C) + ~~A x ~~~B = A + (B x C) x A x ~b =(A x A + B x C x A) x ~B = (A + A x B x C) x ~B = A x ~B + A x C x B x ~B Answer = A x ~B
~~A +(~~B x ~~C) + ~~A x ~~~B
= A + (B x C) x A x ~b
=(A x A + B x C x A) x ~B
= (A + A x B x C) x ~B
= A x ~B + A x C x B x ~B
Answer = A x ~B
~~A+(~~B x ~~C)+~~A x ~~~B
=A+(B x C)A~B
=(A+BC)A~B
=AA~B+BCA~B
=A~B+~BBCA
=A~B+0
=A~B
~( ~ (A + BC) + ~ (A * ~ B)) = ~~(A + BC) * ~~ (A * ~ B) = (A + BC)(A * ~ B) = A + B*~BC = A
~ ( ~(A + B*C) + ~(A * ~B))
= ~(~A * (~B + ~C) + ~A + B )
= ~( ~A * ~B + ~A * ~C + ~A + B)
= ~(~A*~B) * (A + C) * A * ~B
= (A + B) * (A +C) * A * ~B
=(A + A*C + B*A) * A * ~B
= (A + A*C + A* B) * ~B
=A*B~ + A*C*B
~~A+(~~B * ~~C) +~~A * ~~~B = A+(B*C)+A*~B
= A+B*C+A*~B
= A+B*C+0
= A+B*C
~~A+(~~B x ~~C) +~~A x ~~~B
=A+(B xC) + A x ~B
=(A+BC)A~B
=AA~B+BCA~B
=A~b+0
=A~b
~(~(A + BC) + ~(A~B) )
= ~~(A + BC) ~~(A~B)
= (A + BC)A~B
= AA~B + BCA~B
= A~B + B~BCA
= A~B + 0
= A~B
~~A +(~~B x ~~C) + ~~A x ~~~B = A + (B x C) x A x ~b =(A x A + B x C x A) x ~B = (A + A x B x C) x ~B = A x ~B + A x C x B x ~B Answer = A x ~B
~~A +(~~B x ~~C) + ~~A x ~~~B
= A + (B x C) x A x ~b
=(A x A + B x C x A) x ~B
= (A + A x B x C) x ~B
= A x ~B + A x C x B x ~B
Answer = A x ~B