## K-maps for XOR and XNOR gates

Even variable map: For 4 variables (even), we have XOR and XNOR compliment of each other and can be represented in K-maps as follow: For XNOR gate we have 2n/2 number of min terms with output as 1 (i.e. we have even number of 0s) For XOR gate we have 2n/2 number of min terms with […]

## Question: Implement XNOR gate using NOR only

Q- Implement 2 variable XNOR gate using NOR only in minimum number of gates. F= x XNOR y = (x XOR y)’ F’= (x XOR y) = x’y+xy’ = x’y+xy’+xx’+yy’ = (x+y) (x’+y’) F’= x’(x+y) + y’(x+y) Take compliment F= (x’(x+y) + y’(x+y))’ = (x’(x+y) )’ . (y’(x+y))’ =(x+(x+y)’). (y + (x+y)’)   Take compliment again […]

## Relation between XOR & X-NOR gates

As exclusive or gate gives 1 when input variables have odd number of 1’s and equivalence gate gives 1 when there are even number of zeros in input variables So when we have 2 variables then exclusive or gate gives 1 for x=0, y=1 & x=1, y=0 and it gives 0 for x=0, y=0 & […]

## Logical Functions: XOR, XNOR

XOR: It is also called exclusive OR gate. It is an odd function. In general, it is equal to 1 if input variables have odd number of 1’s. For 2 variable it is defined as z=x’y+xy’. We don’t have muti input XOR gates because it is quiet uneconomical from hardware point of view. It is […]