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Page 11 - Math_Genius_1 2
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    ckbujh vad osQoy 0 vkSj 1 ls feydj curk gSA ckbujh vad dk mnkgj.k % 110100 gSA ckbujh esa dksbZ 2] 3] 4]
                     5] 6] 7] 8 ;k 9 ugha gS!

                               uke  (Names)    vkdkj (fcV~l)  [Size (bits)]          mnkgj.k  (Examples)

                             fcV  (Bit)                      1                ,dy vad ;k rks 0 ;k 1

                             fucy  (Nibble)                  4                4 vadksa dk lewg ;k rks 0 ;k 1
                             ckbV  (Byte)                    8                8 vadksa dk lewg ;k rks 0 ;k 1

                             oMZ  (Word)                     16               16 vadksa dk lewg ;k rks 0 ;k 1

                     ;fn fdlh ckbujh la[;k dk vafre vad 1 gS] rks og la[;k fo"ke gksrh gS_ ;fn ;g 0 gS] rks la[;k le gSA mnkgj.k
                     osQ fy,µ 1101 ,d fo"ke la[;k rsjg (13) dk çfrfuf/Ro djrk gS_ 10010 ,d le la[;k vV~Bkjg (18) dk
                     çfrfuf/Ro djrk gSA vkb,] lcls igys ckbujh uacj cukuk lh•saA

                     pw¡fd ckbujh vad iz.kkyh esa nks vad 0 vkSj 1 gksrs gSa] blfy, bldk vk/kj 2 gksrk gSA ckbujh vad iz.kkyh esa çR;sd
                     vad ;k fcV 0 ;k 1 gks ldrk gSA ckbujh vadksa osQ la;kstu dk mi;ksx fofHkUu ek=kkvksa tSls 1001 dk çfrfuf/Ro
                     djus osQ fy, fd;k tk ldrk gSA LFkkuh; ckbujh vad esa çR;sd vad dk ewY; mlosQ nkfgus rjiQ osQ vad osQ LFkkuh;
                     ewY; ;k vafdr ewY; dk nksxquk gksrk gSA çR;sd LFkku dk Hkkj ?kkr 2 (Power of 2) gSA

                     LFkku vkSj Hkkj osQ vuqlkj vadksa dk LFkkuh; eku bl çdkj gS %

                           LFkku  (Position)      3         2         1         0                   &1        &2
                                                                                           •
                            Hkkj  (Weights)      2 3        2 2       2 1       2 0                 2 &1      2 &2

                     vkWDVy vad iz.kkyh (Octal Number System)
                     vkWDVy vad iz.kkyh esa 0 ls 7 rd vkB vad gksrs gSaA blfy,] vkWDVy vad iz.kkyh dk vk/kj 8 gSA bl ç.kkyh esa]
                     çR;sd vad dh fLFkfr 8 osQ ?kkr (Power) dk çfrfuf/Ro djrh gSA bl ç.kkyh esa dksbZ Hkh vad ges'kk 8 ls de
                     gksrk gSA vkWDVy vad iz.kkyh dk mi;ksx yach ckbujh la[;kvksa osQ 'kkWVZgSaM çfrfuf/Ro osQ :i esa fd;k tkrk gSA la[;k
                     (841)  bl vad ç.kkyh esa ekU; ugha gS D;ksafd 8 ,d ekU; vad ugha gSA
                          8
                     gsDlkMsfley vad iz.kkyh (Hexadecimal Number System)
                     gsDlkMsfley vad iz.kkyh esa 0 ls 9 vkSj , ls ,iQ rd 16 vad gksrs gSaA vYiQkcsV , ls ,iQ 10 ls 15 rd Msfley
                     la[;k dk çfrfuf/Ro djrs gSaA bl la[;k ç.kkyh dk vk/kj 16 gSA gsDlkMsfley vad iz.kkyh esa çR;sd vad dh fLFkfr

                     ?kkr 16 dk çfrfuf/Ro djrh gSA la[;k (764)  oS/ gsDlkMsfley la[;k gSA ;g (764)  ls fHkUu gS tks lkr lkS
                                                              16
                                                                                                   10
                     pkSalB gSA ;g vad iz.kkyh yach ckbujh la[;kvksa dk çfrfuf/Ro djus osQ fy, 'kkWVZdV fof/ çnku djrh gSA

                         vad iz.kkyh :ikarj.k (Number System Conversion)
                     fdlh Hkh vad ç.kkyh dh la[;k dks vU; esa ifjofrZr fd;k tk ldrk gS tSls n'keyo la[;k dks ckbujh la[;k esa
                     ifjofrZr fd;k tk ldrk gS vkSj blh rjg vU; dks HkhA

                     Msfley ls ckbujh vad iz.kkyh (Decimal to Binary Number System)
                     Msfley dks ckbujh la[;k esa cnyus osQ fy,] bu LVsIl dk ikyu djsa %
                     LVsi 1 n'keyo vad dks 2 ls foHkkftr djsa (ckbujh vad iz.kkyh dk vk/kj)A
                     LVsi 2 HkkxiQy vkSj 'ks"k dks uksV dj ysaA

                                                                                                        vad iz.kkyh  9

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