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Prove that (bar(A.B)).(A+B)=A.barB+bar...

Prove that
`(bar(A.B)).(A+B)=A.barB+barA.B`

Text Solution

Verified by Experts

L.H.S., `bar((A.B)).(A+B)=(barA+barB).(A+B)`
`[:' bar(A.B)=barA+barB ]`
`=barA.A+barA.B+barB.A+barB.B`
`=0+barA.B+barB.A+0=barA.B+A.barB`
`[ :' barA.A=barB.B=0 and barB.A=A.bar]`
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