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Page 12 - Math_Genius_1 2
P. 12

    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

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