How to convert NAND logic gate become the other logic gates
02.55.00
How to convert nand logic
gate become the other logic gates, for example nand logic gate to NOR, Ex-Or and
Ex-Nor logic gate.
1.) NAND
logic gate into NOR logic gate
Truth table|
A
|
B
|
Y
|
|
0
|
0
|
1
|
|
0
|
1
|
0
|
|
1
|
0
|
0
|
|
1
|
1
|
0
|
Boolean
equation
Y = NOT{ NOT[ NOT( A AND A )
AND NOT( B AND B )] AND
NOT[ NOT( A AND A ) AND NOT( B AND B )] }
NOT[ NOT( A AND A ) AND NOT( B AND B )] }
2.) NAND
logic gate into Ex-OR logic gate
Truth table|
A
|
B
|
Y
|
|
0
|
0
|
0
|
|
0
|
1
|
1
|
|
1
|
0
|
1
|
|
1
|
1
|
0
|
Boolean
equation
Y = NOT{ NOT[ A AND NOT( A AND B )
] AND
NOT[ B AND NOT( A AND B ) ] }
NOT[ B AND NOT( A AND B ) ] }
Truth table|
A
|
B
|
Y
|
|
0
|
0
|
1
|
|
0
|
1
|
0
|
|
1
|
0
|
0
|
|
1
|
1
|
1
|
Boolean
equation
Y = NOT( NOT{ NOT[ A AND
NOT( A AND B )
] AND
NOT[ B AND NOT( A AND B )
] } AND
NOT{ NOT[ A AND NOT( A AND B )]
AND
NOT[ B AND NOT( A AND B )
] } )
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