Page 12 - Math_Genius_1 2

LVsi 3 çkIr HkkxiQy dks fiQj ls 2 ls Hkkx nsa vkSj ifj.kkeh HkkxiQy vkSj 'ks"k dks uksV dj ysaA
LVsi 4 çfØ;k dks rc rd nksgjk,¡ tc rd fd vki HkkxiQy 2 ls de ij u igq¡p tk,¡A

LVsi 5 vafre HkkxiQy vkSj lHkh 'ks"k (uhps ls Åij dh vksj c<+rs gq,) dh lwph cuk,¡A vkidks viuh ckbujh la[;k
fey tk,xhA

:ikarj.k dks csgrj <ax ls le>us osQ fy, fn, x, mnkgj.kksa dks ns•saA
mnkgj.k û% n'keyo la[;k 26] vFkkZr (26) dks ckbujh esa cnysaA
10

2 26
2 13 µ 0 (26) dk ckbujh lerqY; 11010 gS
10
2 6 µ 1 nwljs 'kCnksa esa] (26) ¾ (11010) 2
10
2 3 µ 0
1 µ 1

vafre HkkxiQy vkSj 'ks"k lHkh dks ;gk¡ ls lwphc¼ djuk
çkjaHk djsaA

mnkgj.k ü% n'keyo la[;k (64) dks ckbujh esa cnysaA
10

2 64
2 32 µ 0

2 16 µ 0
2 8 µ 0 (64) ¾ (1000000) 2
10
2 4 µ 0

2 2 µ 0
1 µ 0

ckbujh ls Msfley :ikarj.k (Binary to Decimal Conversion)
ckbujh la[;k dks n'keyo la[;k esa cnyus osQ fy,] bu LVsIl dk ikyu djsa %
LVsi 1 fHkUukRed fcanq ls igys ,y,lMh (LSD) osQ :i esa Kkr lcls nkfgus vad ls 'kq: djsa] vkSj ckb± vksj c<+saA

LVsi 2 ,slk djrs le;] çR;sd vad dks ,d fo'ks"k ?kkr rd c<+k, x, 2 ls xq.kk djsaA 2 dh ?kkr 0 ls 'kq: gksdj
1] 2 rd c<+ tkrh gS] vkSj blh rjg tSls&tSls vki ckb± vksj c<+rs gSaA
LVsi 3 lHkh ifj.kkeh mRiknksa dks tksM+saA vkidks viuk n'keyo uacj fey tk,xkA

fuEufyf•r mnkgj.k vkidks :ikarj.k dks le>us esa enn djsaxsA

mnkgj.k û% (1111) dks n'keyo esa cnysaA mnkgj.k ü% (10111) dks n'keyo esa cnysaA
2 2
0
1
2
4
3
3
2
1
¾ 1 × 2 + 1 × 2 + 1 × 2 + 1 × 2 ¾ 1 × 2 + 0 × 2 + 1 × 2 + 1 × 2 + 1 + 2 0
¾ 8 + 4 + 2 + 1 ¾ 16 + 0 + 4 + 2 + 1
¾ 15 ¾ 23
(1111) ¾ (15) 10 (10111) ¾ (23) 10
2
2
10 Play (Ver. 1.0)-VII