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msL¨v c×wZ I wWwRUvj wWfvBm|

1| msL¨v c×wZ Kv‡K e‡j?

      DËi t †Kvb msL¨v †jLv ev cÖKvk Kivi c×wZ‡KB msL¨v c×wZ ejv nq|

2| msL¨v c×wZ Kx?

DËi t msL¨v c×wZ GKwU MYbv Kivi gva¨g| MYbvi †¶‡Î GwU e¨envi Kiv n‡q _v‡K| GB msL¨v ˆZwi Kivi Rb¨ mvs‡KwZK wPý e¨envi Kiv nq| GB mvs‡KwZK wPý e¨envi K‡iB msL¨v ˆZwi Kiv nq| ZvB †Kvb msL¨v †jLv ev cÖKvk Kivi c×wZ n‡jv msL¨v c×wZ|  

3| Avw` c×wZi cÖPjb wn‡m‡e msL¨v c×wZ KZ cÖKvi I wK wK?

      A_ev msL¨v c×wZ cÖavbZ KZ cÖKvi I wK wK?

      DËi t `yB cÖKvi| h_vÑ

      K) ¯’vwbK msL¨v c×wZ I cwRkbvj msL¨v c×wZ (Positional Number System)

      L) A¯’vwbK msL¨v c×wZ I bb-cwRkbvj msL¨v c×wZ (Non-Position Number ystem)

4| ¯’vwbK c×wZ ev cwRkbvj c×wZ Kv‡K e‡j?

      DËi t eZ©gv‡b †h msL¨v c×wZ e¨envi Kiv nq Zv‡K cwRkbvj ev ¯’vwbK msL¨v c×wZ e‡j|

5| A¯’vwbK ev bbÑcwRkbvj msL¨v c×wZ Kv‡K e‡j?

DËi t  †h As‡Ki wbR¯^ †Kvb ¯’vbxq gvb †bB Ges eZ©gv‡b †Kvb e¨envi †bB Zv‡K bbÑcwRkbvj ev A¯’vwbK msL¨v c×wZ e‡j|

6|  ¯’vbxq gvb Kv‡K e‡j?

      DËi t †h c×wZ‡Z msL¨vi wbR¯^ Ae¯’vb m¤ú‡K© Rvbv hvq A_©vr msL¨vwU †Kvb Ae¯’vq we`¨gvb         Av‡Q †m c×wZ AbymiY Kiv‡K ¯’vbxq gvb ejv nq| D`vniY t   

      †hgb t 1235 GLv‡b 5 A¼wU GK‡Ki N‡i, 3 A¼wU `k‡Ki N‡i, 2 A¼wU kZ‡Ki N‡i Ges 1 A¼wU nvRv‡ii N‡i Ae¯’vb KivB msL¨vwUi gvb n‡”Q GK nvRvi `yBkZ cuqwÎk|

7|  wfwË ev †eR Kx?

DËi t †Kvb msL¨v c×wZ‡Z hZ¸‡jv msL¨v ev ms‡KwZK wPý _v‡K Zv‡`i mgwó‡K D³ msL¨v c×wZi wfwË e‡j|

8|  cwRkbvj msL¨v c×wZ‡Z †Kvb GKwU msL¨vi gvb †ei Kivi Rb¨ Kx cÖ‡qvRb nq?

      DËi t wZbwU †WUv `iKvi nq| h_vÑ

          K) msL¨vwU‡Z e¨eüZ A¼¸‡jvi wbR¯^ gvb|

          L) msL¨vwU‡Z e¨eüZ A¼¸‡jvi Ae¯’vb ev ¯’vbxq gvb|

          M) msL¨v c×wZi wfwË ev †eR|  

9|  cwRkbvj msL¨v c×wZ KZ cÖKvi I Kx Kx?

      DËi t

      K) `kwgK msL¨v c×wZ (Decimal Number System)

      L) evBbvwi msL¨v c×wZ ( Binary Number System)

      M) A±vj msL¨v c×wZ (Octal Number System)

      N) †n·v‡Wwm‡gj msL¨v c×wZ (Hexadecimal Number System)

9| `kwgK msL¨v c×wZ Kv‡K e‡j?

      A_ev †Wwm‡gj msL¨v c×wZ Kv‡K e‡j?

      `kwgK msL¨v c×wZ Kx?

      DËi t  mvaviYZ wnmve-wbKv‡ki Rb¨ `kwgK msL¨v c×wZ e¨envi Kiv nq| †h msL¨v c×wZ‡Z         0, 1, 2, 3, 4, 5, 6, 7, 8, 9 G `kwU A¼    ev wPý e¨envi Kiv nq Zv‡K `kwgK msL¨v c×wZ ejv nq| GB msL¨v c×wZi †eR ev wfwË n‡”Q 10| †h‡nZy 0 †_‡K 9 A¼ ch©šZ 10wU msL¨v we`¨gvb †mB Kvi‡Y Gi wfwË ev †eR nq 10| D`vniY (121)₁₀

10|  evBbvwi msL¨v c×wZ Kv‡K e‡j?

      A_ev evBbvwi msL¨v c×wZ Kx?

DËi t evBbvix msL¨v c×wZ GKwU mijZg msL¨v c×wZ| 0 Ges 1 G `yB A¼wewkó  msL¨v c×wZ‡K ejv nq evBbvwi msL¨v c×wZ| Gi †eR ev wfwË n‡”Q 2| 0 I 1 wPý `ywU‡K ejv nq evBbvwi wWwRU (Binary Digit) ev ms‡¶‡c weU (Bit) e‡j| mvaviYZ Kw¤úDUvi Gi wnmve wbKvk evBbvwi c×wZ‡Z Kiv nq| D`vnibt †hgb t (1011)₂|

11|  A±vj msL¨v c×wZ Kx?

      A_ev A±vj msL¨v c×wZ Kv‡K e‡j?

DËi t †Kvb msL¨v c×wZ 0 †_‡K 7 ch©š— †gvU 8wU A¼ wb‡q Av‡jvPbv Kiv nq Zv‡K A±vj msL¨v c×wZ e‡j| A±vj msL¨v c×wZi †eR ev wfwË n‡”Q 8| G c×wZi †gŠwjK 8wU wPý n‡”Q 0, 1, 2, 3, 4, 5, 6, 7| D`vniY †hgb t (127)₈|

12| †n·v‡Wwm‡gj Kv‡K e‡j?

      A_ev †n·v‡Wwm‡gj Kx?

DËi t Hexa A_© 6 Decimal A_© 10| †h msL¨v c×wZ‡Z 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F ch©š— e¨envi Kiv nq Zv‡K †n·v‡Wwm‡gj msL¨v c×wZ ejv nq| GB c×wZi †eR ev wfwË 16| G‡Z Bs‡iRx eY©gvjvi cÖ_g 6wU eY© e¨envi Kiv nq|

       D`vnibt (5AF)₁₆|

14| MSB Ges LSB Gi c~Y©iƒc Kx?

      DËi t MSB = Most Significant Bit (m‡e©v”P ¸i“‡Z¡i A¼)

               LSB = Least Significant Bit (me©wbæ ¸i“‡Z¡i A¼)

    e¨vL¨vt Ñ cwRkbvj msL¨v c×wZ n‡Z n‡j Aek¨B 03 wU kZ© _vK‡Z n‡e| 

1bs kZ© cÖwZwU msL¨vi wbR¯^ gvb _vK‡e| 2bs kZ© A¼¸‡jvi Ae¯’vb ev ¯’vbxq gvb _vK‡e| 3bs kZ© msL¨v c×wZi wfwË ev †eR _vK‡e|

Zvn‡j j¶¨ Ki“b 102389 msL¨vwU Aek¨B cwRkbvj msL¨v c×wZ|  cÖwZwUi msL¨vi wbR¯^ gvb Av‡Q †hgb †Kvb msL¨vi gvb 9, †Kvb msL¨vi gvb 8, †Kvb msL¨vi gvb 1, †Kvb msL¨vi gvb 2, †Kvb msL¨vi gvb 3, †Kvb msL¨vi gvb 0, BZ¨vw` wbR¯^B Zv‡`i gvb| A_©vr BZ¨vw` Øviv msL¨vi gvb Kg †ewk n‡”Q Zvi gv‡b eySv hv‡”Q †h, cÖwZwU msL¨vi wbR¯^ gvb Av‡Q| 

Zvn‡j 1bs kZ© cvIqv ‡Mj| Gevi 2bs kZ© n‡jv Ae¯’vb ev ¯’vbxq gvb _vK‡e| Zvn‡j j¶¨ Ki“b 102389 msL¨vwU‡Z 9 Av‡Q GKK N‡i 8 Av‡Q `k‡Ki N‡i, 3 Av‡Q kZ‡Ki N‡i, 2 Av‡Q nvRv‡ii N‡i, 0 Av‡Q Ahy‡Zi N‡i, 1 Av‡Q j‡¶i N‡i| cÖwZwU msL¨v Zvi Ae¯’v‡b we`¨gvb| Zvn‡j †`Lv hvq †h, 2bs kZ© c~iY n‡q‡Q|  

3bs kZ© msL¨v c×wZi wfwË ev †eR _vK‡e| A_©vr †Kvb msL¨v c×wZ‡Z KqwU AsK e¨envi Kiv n‡q‡Q Zvi mgwó‡K ejv nq †eR ev wfwË|  Zvn‡j j¶¨ Ki“b 102389 msL¨vwU hw` `kwgK msL¨v c×wZi D`vniY wn‡m‡e we‡ePbv Kiv nq Zvn‡j msL¨vwUi †eR n‡e 10 KviY msL¨v c×wZ‡Z †gvU `kwU msL¨v _v‡K| wb‡Pi cÖwZwU msL¨v c×wZ cwRkbvj msL¨v c×wZi AvIZvf~³|

D`vniY j¶¨ Ki“b Ges fv‡jvfv‡e eySvi †Póv Ki“b Zvn‡j Avcbv‡`i Kv‡Q me wKQy mnR g‡b n‡e| 

we¯—vwiZ †`L‡Z