Question

逻辑代数的分配律“A+BC=”等于什么？怎么证明？

Answer 1

（A+B)(A+C)

=AA+AC+BA+BC................AA=A

=A+AC+AB+BC.................A+AC=A(1+C)=A

=A(1+C)+AB+BC

=A+AB+BC.........................同上

=A(1+B)+BC......................同上

=A+BC.............................

记住：(A+B)(A+C)=A+BC