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Question

If A=341201 and B=[121123], then verify that
(i)(A+B)'=A'+B'

(ii)(A-B)'=A'-B'


Solution

A=(A)=341201=[310421]
Here, =A+B=[310421]+[121123]=[211544]
LHS=(A+B)=[211544]=251414B=[121123]=112213,alsoA341201
Here, RHS=A+B=341201+112213=251414
So, verfied that (A+B)'=A'+B'.

A=(A)=341201=[310421]
Here, RHS=AB=341201112213=3+14112220113=433012
Also (AB)=([310421][121123])(A=(A))=[3+11201412213]=[431302]=433012
So, verified that (A-B)'=A'-B'

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