Minimum NAND/NOR Gates - Realization for ExOR,ExNor,Adder,Subtractor

Question

	Minimum No of Gates NAND/NOR
	Ex-OR	Ex-Nor	Half Adder	Half Subtractor	Full Adder	Full Subtractor
NAND	?	?	?	?	?	?
NOR	?	?	?	?	?	?

Answer 1

Minimum Number of Gates: Nand/Nor
	Exor	Exnor	Half Adder	Half Subtractor	Full Adder	Full Subtractor
$NAND$	$4$	$5$	$5$	$5$	$9$	$9$
$NOR$	$5$	$4$	$5$	$5$	$9$	$9$

Exor Using Nand Gates 

Exor Using Nor Gates

Ex-Nor using Nand Gates 

Ex-Nor using Nor Gates 

Half Adder using Nand Gates 

Half Adder Using Nor Gates 

Half Subtractor using Nand Gates

Half Subtractor using Nor gates

Full Adder using Nand Gates 

Full Adder using Nor gates

Full Subtractor using Nand Gates

Full Subtractor using Nor Gates 

Comments

best explained

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@Praveen Saini Sir

If complement also present , then only $3$ NOR gates for EX-NOR

right??

like , for $A$ and $B$ input $\left ( AB'+A'B \right )'$=> $3$ NOR gates.

Lessthan $3$ not possible.

right??

 

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@srestha right. 

Answer 2

	EX-OR	EX-NOR	HALF ADD	HALF SUB	FULL ADD	FULL SUB
NAND	4	5	5	5	9	9
NOR	5	4	5	5	12	12

 

Answer 3

gates	nand	nor
not	1	1
and	2	3
or	3	2
xor	4	5
exnor	5	4

 

This is the best

TIPS: 

1. If they ask NAND gates, use Sum of Products
2. If they ask NOR gates, use Product of sums

Goodbye

Comments

How to use these tips

Answer 4

EX- OR : 4 NAND, 5 NOR

EX- NOR: 5 NAND, 4 NOR

Half Adder, Half Subtractor: 5 NAND, 5 NOR

Full Adder, Full Subtractor: 9 NAND, 9 NOR