Page 14 - Gujrati Play V2.0 Class 8 Flipbook

Ãkøk÷wt 3 çkÄk Ãkrhýk{e økwýku¥khkuLkku Mkhðk¤ku fhku. ík{Lku ík{khku Ëþktþ Lktçkh {¤þu.

Lke[uLkk WËknhýku ík{Lku YÃkktíkhýLku Mk{sðk{kt {ËË fhþu.

WËknhý 1: (1111) Lku Ëþktþ MktÏÞk{kt YÃkktíkrhík fhku.
2
3
2
0
1
= 1 × 2 + 1 × 2 + 1 × 2 + 1 × 2
= 8 + 4 + 2 + 1
= 15

(1111) = (15)
2 10
WËknhý 2: (10111)2 Lku Ëþktþ MktÏÞk{kt YÃkktíkrhík fhku.
3
4
1
2
= 1 × 2 + 0 × 2 + 1 × 2 + 1 × 2 + 1 × 2 0
= 16 + 0 + 4 + 2 + 1
= 23

(10111) = (23)
2 10

çkkELkhe Lktçkhku Ãkh fk{økehe
[k÷ku çkkRLkhe Lktçkhku ÃkhLke {q¤¼qík r¢Þkyku þe¾eyu.

çkkRLkhe W{uhku

çkkRLkhe Mkhðk¤ku Ëþktþ MktÏÞkykuLkk Mkhðk¤ku suðku s Au. çkkRLkhe Lktçkh rMkMx{{kt, ßÞkhu Mkhðk¤kLkwt {qÕÞ 1, Äkhku fu 10 yÚkðk
11, fhíkkt ðÄe òÞ Au, íÞkhu 1 Lku ðíko{kLk ÂMÚkríkLke zkçke çkksw ÷R sðk{kt ykðu Au. çku çkkRLkhe Lktçkh W{uhðkLkk rLkÞ{ku Lke[u
ykÃku÷k Au:

X Y X + Y

0 0 0 + 0 = 0

0 1 0 + 1 = 1

1 0 1 + 0 = 1

1 1 1 + 1 = 10 (carry 1)

WËknhý íkhefu, [k÷ku çkkRLkhe Lktçkhku (101111) yLku (10111) W{uheyu.
2
2
_____
1 1 1 1 1 Carry bits
1 0 1 1 1 1
+ 1 0 1 1 1

1 0 0 0 1 1 0

12 Play (Ver. 2.0)-VIII