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NPP Number System, Boolean Algebra and Logic Circuits 183
3.17 NAND-NAND and NOR-NOR Imple- 3.17 Mma _hËdnyU© Vwë` (Bpåßb_|Q>oeZ)
mentation Four Important Concepts
NAND is equivalent to → Bubbled OR
A
B A+B A+B
NOR is equivalent to → Bubbled AND
A A
B A . B
B A.B
Shorted NAND is equivalent to → NOT
A NPP
A A A
Shorted NOR is equivalent to → NOT
A
A
A
A
Note: Whenever you want to put an extra ZmoQ>: O~ ^r h_ EH$ A{V[aº$ ~~b H$m Cn`moJ
bubble, put a NOT gate in series with the H$aVo h¢, h_| CgHo$ gmW loUr _| EH$ NOT JoQ> ^r
bubble. eg. bJmZm hmoVm h¡Ÿ& O¡go {ZåZ JoQ> H$mo XoImo…
A
A.B
B
Above circuit is equivalent to following Cnamoº$ n[anW Ho$ AmCQ>nwQ> na EH$ ~~b VWm
circuit: An Inverter is put after a bubble: CgHo$ loUr _| EH$ NOT JoQ> bJmZo go n[anW Ho$ H$m`©
na H$moB© \$H©$ Zht n‹S>oJm…
A
A.B
B