Digital Logic

Question

Answer 1

Option A, B and C all are correct

Given : A $\bigoplus$ B = C

Option A

A $\bigoplus$ A $\bigoplus$ B = A $\bigoplus$ C

Hence A $\bigoplus$ C = B

Option B

A $\bigoplus$ B $\bigoplus$ B = B $\bigoplus$ C

Hence B $\bigoplus$ C = A

Option C

A $\bigoplus$ B = C

A $\bigoplus$ B $\bigoplus$ C =  C $\bigoplus$ C = 0

Comments

Thank  You :)

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great bro..!

Answer 2

answer may be option  ( d )

simple put ,

A=0

B=1

C=1

And you will get  

 AB'+A'B =C (use formula )

by option 

a)  1

b) 1

c) 1(incorrect )

d) correct 

so answer should be "d"

(if i am incorrect ,then give me a pleasant solution )

Comments

A=1 , B=0. and C=1 also satisfy all three conditions , this is very short method and strong too...

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But if we were not given any " if  " condition then how can we prove all 3 conditions true by hit and trial method..?

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then , we have to expend all the given condition and use general method  according to @ashwani_kulkarni metho ..!

Answer 3

options A,B,C all are correct .