2,478 views

The operation which is commutative but not associative is:

1. AND
2. OR
3. EX-OR
4. NAND

### 1 comment

'communicative' should be 'commutative'

### Subscribe to GO Classes for GATE CSE 2022

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.

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.

commutative law: A operator B = B operator

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

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

@chauhansunil20th

The implication is a logic Gate??

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

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

# yes option D

### NAND gate is commutative but not associative.

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