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Choose the correct alternatives (more than one may be correct) and write the corresponding letters only:

The operation which is commutative but not associative is:

  1. AND
  2. OR
  3. EX-OR
  4. NAND
in Digital Logic by
edited by | 1k views
+2
'communicative' should be 'commutative'

4 Answers

+19 votes
Best answer
Answer is D.

$Remark:$
1) Every logic gate follows Commutative law.
2) AND, OR, Ex-OR, EX-NOR follows Associative law also. NAND, NOR doesn`t follow Associative law.
by
edited by
+17
Its good to remember-
1)Every logic gate follows Commutative law.
2)AND,OR,Ex-OR,EX-NOR follows Associative law also. NAND,NOR doesn`t follow Associative law.
+3

commutative law: A operator B = B operator

associative law: A operator (B operator C) = (A operator B) operator C

+1
EX-NOR is associative...
0
Every logic gate follows Commutative law. how?
A->B is not same as B->A, right?
0

@chauhansunil20th

The implication is a logic Gate??

0

@akash.dinkar12 why not? why even this doubt?

+3 votes
Ans is D you can varify it like  ((AB)'C)' = (A(BC)')' are not equivalent for input 011.
by
0

yes option D

+1 vote

NAND gate is commutative but not associative.

 

by
0 votes
We get for inputs 001,011,100 and 110 both the NAND  and NOR are not associative
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Answer:

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