FOR FREE CONTENT
Important points
i) Bubbled AND ≡ NOR
.png)
.png)
ii) Bubbled OR ≡ NAND
.png)
.png)
iii) XOR gate is an odd number of 1’ detector,
i.e. if the number of 1’s is odd ⇒ output = high
And if the number of 1’s is even ⇒ output = low
iv) Performing XOR operation on A ‘n’ times,
.png)
v) Performing XNOR operation on A ‘n’ times,
.png)
vi) If the number of inputs (n) is odd, XOR ≡ XNOR and if the number of inputs (n) is even,
.png)
vii) If one input of XOR is inverted, it becomes XNOR.
.png)
.png)
.png)
viii) AND – OR logic ≡ NAND logic.
.png)
This equivalence is widely used when we have to find the “minimum number of NAND gates” required to implement a circuit. But, before applying this logic, the first step will always be to convert the given expression in SOP (Sum of Product) form. This will be illustrated later.
ix) OR – AND logic ≡NOR – NOR logic
.png)
Just like point (viii), this equivalence is also widely used when we have to find the “minimum number of NOR gates” required to implement a circuit. But, here also, the first step will be to convert the given expression in POS (Product of Sum) form. This will also be illustrated later.
Contributed by
