Page 209 - FUNDAMENTALS OF COMPUTER

NPP

NPP Number System, Boolean Algebra and Logic Circuits 209

Overlapping AmodaboqnJ
While making groups we must try for g_yh ~ZmVo g_` ~‹S>o g_yh nhbo ~ZmZm Mm{hE&
biggest group first, then go for smaller one.
BgHo$ ~mX N>moQ>o ~ZmZm Mm{hE&
In order to make bigger group we can take ~‹S>m g_yh ~ZmZo Ho$ {bE h_ Xygao g_yhm| Ho$ 1 H$m
1 from other group. So the two groups may Cn`moJ H$a gH$Vo h¢Ÿ& AV… Xmo `m Xmo go A{YH$ g_yh EH$-
S
overlap. Consider following:
Xygao na Amodabon H$a gH$Vo h¢Ÿ& {ZåZ K-_on H$mo XoImo:

1 1
1

This is overlapping of two pairs. One pair `h EH$ noAa H$s Xygao noAa na AmodaboqnJ H$m
may also overlap with another quad: CXmhaU h¡Ÿ& EH$ noAa {H$gr ŠdmS> Ho$ gmW ^r Amodabon
H$a gH$Vm h¡Ÿ&

1 1 1 1

1

Two quads may also overlap: Xmo ŠdmS> ^r Amng _| Amoìhabon H$a gH$Vo h¢…

1 1 1

1 1 1 1
1 1 1 1
1

Rolling amoqbJ

We can make bigger groups with the help amoqbJ H$s ghm`Vm go ^r h_ ~‹S>o g_yh ~Zm gH$Vo
of rolling: h¢…

Pair no`a
Two ones in the same row or column and EH$ hr n§pŠV d ñV§^ Ho$ 1 Omo {H$ H$moZm| na hmo
at the corners may form one pair. Two pairs are amoqbJ noAa ~ZmVo h¢Ÿ& ZrMo {MÌ _| Xmo amoqbJ noAa Xem©E
shown in the diagram: JE h¢…