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184 Fundamentals of Computers NPP
Now, See the circuit below gmW hr {ZåZ n[anW H$mo ^r XoImo…
A
A + B
B
Above circuit can be drawn as: Cnamoº$ n[anW H$mo {ZåZmZwgma ~Zm gH$Vo h¢ …
A
B A + B
Problem 3.37 àíZ 3.37
Implement using NAND Gates: {ZåZ g_rH$aU hoVw NAND JoQ> H$s ghm`Vm go
n[anW ~ZmAmo…
Y = A . B
Solution: hc:
First we draw the Basic Gate implemen- gd©àW_ ~o{gH$ JoQ>m| H$s ghm`Vm go n[anW ~ZmZo
tation: na:
A
A.B
B
B
To convert AND Gate into NAND Gate, AND JoQ> H$mo NAND _| n[ad{V©V H$aZo hoVw
put a bubble at the output. And to cancel this AmCQ>nwQ> _| EH$ ~~b bJmZm hmoVm h¡ naÝVw Bg ~~b
bubble put a NOT Gate in series: H$m à^md Xya H$aZo hoVw EH$ NOT JoQ> ^r bJmZm n‹S>oJm…
A
A.B
B
Now only two NOT Gates are remaining. {g’©$ Xmo NOT JoQ> ~Mo h¢& A~ XmoZm| NOT JoQ>m| H$mo
But as we know that NOT Gate is equivalent to em°Q>}S> NAND JoQ> H$s ghm`Vm go ~ZmZo na…
Shorted NAND Gate, therefore replace them
with shorted NAND.
A
B A.B
