Using Boolean algebra simplify the statement ยฌ(๐ โ ๐ ) โ (ยฌ๐)
Using Boolean algebra let us simplify the statement:
ยฌ(๐โ๐ )โ(ยฌ๐)=ยฌ(ยฌ(๐โ๐ ))โจ(ยฌ๐)=(๐โ๐ )โจ(ยฌ๐)=(ยฌ๐โจ๐ )โจ(ยฌ๐)=(sโจยฌ๐)โจ(ยฌ๐)=sโจ(ยฌ๐โจยฌ๐)=sโจยฌ๐=ยฌ๐โจs=๐โ๐ .ยฌ(๐ โ ๐ ) โ (ยฌ๐) =ยฌ(ยฌ(๐ โ ๐ ))\lor (ยฌ๐) =(๐ โ ๐ )\lor (ยฌ๐) =(ยฌ๐\lor ๐ )\lor (ยฌ๐) = (s\lor ยฌ๐)\lor (ยฌ๐) =s\lor( ยฌ๐\lor ยฌ๐) =s\lor ยฌ๐=ยฌ๐\lor s=๐ โ ๐ .ยฌ(rโs)โ(ยฌr)=ยฌ(ยฌ(rโs))โจ(ยฌr)=(rโs)โจ(ยฌr)=(ยฌrโจs)โจ(ยฌr)=(sโจยฌr)โจ(ยฌr)=sโจ(ยฌrโจยฌr)=sโจยฌr=ยฌrโจs=rโs.
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