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Computer Science20181 markOne wordBoolean AlgebraTool: Boolean algebra solver

Answer the following.

Find the dual of: (A'+B) · (1+B') = A'+B

Find the dual of: $(A'+B) \cdot (1+B') = A'+B$

Answer

Answer

$(A'+B).(1+B') = A'+B$ To find the dual: interchange $+$ with $\cdot$ and interchange $0$ with $1$, keeping all variables and their complements unchanged. Dual of LHS: $(A'.B)+(0.B')$ Dual of RHS: $A'.B$ Dual: $(A'.B)+(0.B') = A'.B$ (verified with the boolean tool - both sides are equivalent, since $0.B'=0$)