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দশমিক থেকক অন্য পদ্ধমিকি রুপান্তর
দশমিক পদ্ধমি
বাইনামি
অক্টাল
হেক্সাডেমিিযাল
দশমিক হেডক অনয পদ্ধমিডি রুপান্তি িাডন ভাগ-গুন পদ্ধমি
পূর্ণিংখ্যাডক িাি হবি দ্বািা ভাগ
ভগ্াংশডক িাি হবি দ্বািা গুন
(34)10= (? )2, (? )8, (? )16
34/2= 17 0
17/2= 8 1
8/2= 4 0
4/2= 2 0
2/2= 1 0
½= 0 1
পূর্ণ অংশ ভাগডশষ
𝑀𝑆𝐵
𝐿𝑆𝐵
(34)10= (100010)2
 (43)10= (? )2
 (47)10= (? )2
(3212)10= (? )2, (? )8, (? )16
(𝟑𝟐𝟏𝟐) 𝟏𝟎= (? ) 𝟐
3212 ÷ 2 = 1606 0
1606 ÷ 2 = 803 0
803 ÷ 2= 401 1
401 ÷ 2= 200 1
200 ÷ 2= 100 0
100 ÷ 2= 50 0
50 ÷ 2= 25 0
25 ÷ 2= 12 1
12 ÷ 2= 6 0
6 ÷ 2= 3 0
3 ÷ 2= 1 1
1 ÷ 2= 𝟎 1
পূর্ণ অংশ
ভাগডশষ
𝑀𝑆𝐵𝑀𝑆𝐵
𝐿𝑆𝐵
(𝟑𝟐𝟏𝟐) 𝟏𝟎= (𝟏𝟏𝟎𝟎𝟏𝟎𝟎𝟎𝟏𝟏𝟎𝟎) 𝟐
(𝟗𝟕) 𝟏𝟎= (? ) 𝟐
97/2= 48 1
48/2= 24 0
24/2= 12 0
12/2= 6 0
6/2= 3 0
3/2= 1 1
½= 𝟎 𝟏
𝑀𝑆𝐵
𝐿𝑆𝐵
(𝟗𝟕) 𝟏𝟎= (𝟏𝟏𝟎𝟎𝟎𝟎𝟏) 𝟐
(𝟑𝟕) 𝟏𝟎= (? ) 𝟐
(𝟑𝟕) 𝟏𝟎= (𝟏𝟎𝟎𝟏𝟎𝟏) 𝟐
(3212)10= (? )8
3212/8= 401 4
401/8= 50 1
50/8= 6 2
6/8= 𝟎 𝟔
decimal to octal
পূর্ণ অংশ ভাগডশষ
(3212)10= (6214)8
 (𝟗𝟖𝟑𝟕) 𝟏𝟎= (? ) 𝟖
 (𝟗𝟖𝟕) 𝟏𝟎= (? ) 𝟖
(6475)10= (? )8
(6475)10= (14513)8
(576)10= (? )8
576/8= 72 0
72/8= 9 0
9/8= 1 1
1/8= 0 1
(576)10= (1100)8
Decimal to Hexadecimal
(5376)10= (? )16
5376/16= 336 0
336/16 21 0
21/16 1 5
1/16 𝟎 𝟏
(5376)10= (1500)16
𝑀𝑆𝐵
𝐿𝑆𝐵
(1234)10= (? )16
1234/16 77 2
77/16 4 13 = 𝐷
4/16 0 4
(1234)10= (4𝐷2)16
𝑀𝑆𝐵
𝐿𝑆𝐵
(9327)10= (? )16
9327/16 582 15 = 𝐹
582/16= 36 6
36/16= 2 4
2/16= 0 2
(9327)10= (246𝐹)16
𝑀𝑆𝐵
𝐿𝑆𝐵
দশমিক অংকশর থেকে
(.175)10= (? )2
.175*2= 0 . 35
.35*2= 0 . 7
.7*2= 1 . 4
.4*2= 0 . 8
……………………………………………………………….
……………………………………………………………..
(.175)10= (.0010 … … )2
পূর্ণ অংশ ভগ্াংশ
(. 𝟑𝟓) 𝟏𝟎= (? ) 𝟐
𝑷𝒓𝒂𝒄𝒕𝒊𝒄𝒆
(.375)10= (? )2
.375*2= 0 . 75
.75*2= 1 . 5
.5*2= 1 0
(.375)10= (.011)2
decimal to octal
(.375)10= (? )8
.375*8= 3 0
(.375)10= (.3)8
পূর্ণ অংশ ভগ্াংশ
decimal to octal
(.6779)10= (? )8
.6779*8= 5 . 4232
.4232*8= 3 . 3856
.3856*8= 3 . 0848
.0848*8= 0 . 6784
……………………………………………….
……………………………………………….
(.6779)10= (.5330 … … )8
decimal to Hexadecimal
(.6779)10= (? )16
.6779*16= 10 = 𝐴 . 8464
.8464*16= 13 = 𝐷 . 5424
.5424*16= 8 . 6784
.6784 10 = 𝐴 . 8544
…….. …… ….. …… ….
……. ….. …. …. …..
(.6779)10= (. 𝐴𝐷8𝐴 … … . . )16
(18.175)10= (? )2
18/2= 9 0
9/2= 4 1
4/2= 2 0
2/2= 1 0
½= 0 1
𝑀𝑆𝐵
𝐿𝑆𝐵
(18)10= (10010)2
.175*2= 0 . 35
.35*2= 0 . 7
.7*2= 1 . 4
.4*2= 0 . 8
….. …. …. ….
…. ….. ….. …..
(.175)10= (.0010 … )2
(18.175)10= (10010.0010 … . )2
𝐿𝑆𝐵
𝑀𝑆𝐵
(17.125)10= (? )2
(17.125)10= (10001.001)2
(176.125)10= (? )8
176/8= 22 0
22/8= 2 6
2/8= 0 2
(176)10= (260)8
.125*8= 1 0
(.125)10= (.1)8
∴ (176.125)10= (260.1)8
𝑯𝒐𝒎𝒆 𝑾𝒐𝒓𝒌
1. (𝟗𝟖𝟐. 𝟑𝟒𝟓) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔
2. (𝟗𝟕𝟖. 𝟏𝟑𝟐𝟓) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔
3. (𝟗𝟐. 𝟏𝟐𝟒𝟖) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔
4. (𝟖𝟕𝟓. 𝟑𝟗𝟖) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔
5. (𝟐𝟑𝟒𝟐. 𝟑𝟒𝟗𝟓) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔
সংখ্যা পদ্ধতির রুপান্তর

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সংখ্যা পদ্ধতির রুপান্তর

  • 1. decimal to others দশমিক থেকক অন্য পদ্ধমিকি রুপান্তর দশমিক পদ্ধমি বাইনামি অক্টাল হেক্সাডেমিিযাল
  • 2. দশমিক হেডক অনয পদ্ধমিডি রুপান্তি িাডন ভাগ-গুন পদ্ধমি পূর্ণিংখ্যাডক িাি হবি দ্বািা ভাগ ভগ্াংশডক িাি হবি দ্বািা গুন
  • 3. (34)10= (? )2, (? )8, (? )16 34/2= 17 0 17/2= 8 1 8/2= 4 0 4/2= 2 0 2/2= 1 0 ½= 0 1 পূর্ণ অংশ ভাগডশষ 𝑀𝑆𝐵 𝐿𝑆𝐵 (34)10= (100010)2  (43)10= (? )2  (47)10= (? )2
  • 4. (3212)10= (? )2, (? )8, (? )16 (𝟑𝟐𝟏𝟐) 𝟏𝟎= (? ) 𝟐 3212 ÷ 2 = 1606 0 1606 ÷ 2 = 803 0 803 ÷ 2= 401 1 401 ÷ 2= 200 1 200 ÷ 2= 100 0 100 ÷ 2= 50 0 50 ÷ 2= 25 0 25 ÷ 2= 12 1 12 ÷ 2= 6 0 6 ÷ 2= 3 0 3 ÷ 2= 1 1 1 ÷ 2= 𝟎 1 পূর্ণ অংশ ভাগডশষ 𝑀𝑆𝐵𝑀𝑆𝐵 𝐿𝑆𝐵 (𝟑𝟐𝟏𝟐) 𝟏𝟎= (𝟏𝟏𝟎𝟎𝟏𝟎𝟎𝟎𝟏𝟏𝟎𝟎) 𝟐
  • 5. (𝟗𝟕) 𝟏𝟎= (? ) 𝟐 97/2= 48 1 48/2= 24 0 24/2= 12 0 12/2= 6 0 6/2= 3 0 3/2= 1 1 ½= 𝟎 𝟏 𝑀𝑆𝐵 𝐿𝑆𝐵 (𝟗𝟕) 𝟏𝟎= (𝟏𝟏𝟎𝟎𝟎𝟎𝟏) 𝟐
  • 6. (𝟑𝟕) 𝟏𝟎= (? ) 𝟐 (𝟑𝟕) 𝟏𝟎= (𝟏𝟎𝟎𝟏𝟎𝟏) 𝟐
  • 7. (3212)10= (? )8 3212/8= 401 4 401/8= 50 1 50/8= 6 2 6/8= 𝟎 𝟔 decimal to octal পূর্ণ অংশ ভাগডশষ (3212)10= (6214)8  (𝟗𝟖𝟑𝟕) 𝟏𝟎= (? ) 𝟖  (𝟗𝟖𝟕) 𝟏𝟎= (? ) 𝟖
  • 9. (576)10= (? )8 576/8= 72 0 72/8= 9 0 9/8= 1 1 1/8= 0 1 (576)10= (1100)8
  • 10. Decimal to Hexadecimal (5376)10= (? )16 5376/16= 336 0 336/16 21 0 21/16 1 5 1/16 𝟎 𝟏 (5376)10= (1500)16 𝑀𝑆𝐵 𝐿𝑆𝐵
  • 11. (1234)10= (? )16 1234/16 77 2 77/16 4 13 = 𝐷 4/16 0 4 (1234)10= (4𝐷2)16 𝑀𝑆𝐵 𝐿𝑆𝐵
  • 12. (9327)10= (? )16 9327/16 582 15 = 𝐹 582/16= 36 6 36/16= 2 4 2/16= 0 2 (9327)10= (246𝐹)16 𝑀𝑆𝐵 𝐿𝑆𝐵
  • 13. দশমিক অংকশর থেকে (.175)10= (? )2 .175*2= 0 . 35 .35*2= 0 . 7 .7*2= 1 . 4 .4*2= 0 . 8 ………………………………………………………………. …………………………………………………………….. (.175)10= (.0010 … … )2 পূর্ণ অংশ ভগ্াংশ
  • 14. (. 𝟑𝟓) 𝟏𝟎= (? ) 𝟐 𝑷𝒓𝒂𝒄𝒕𝒊𝒄𝒆
  • 15. (.375)10= (? )2 .375*2= 0 . 75 .75*2= 1 . 5 .5*2= 1 0 (.375)10= (.011)2
  • 16. decimal to octal (.375)10= (? )8 .375*8= 3 0 (.375)10= (.3)8 পূর্ণ অংশ ভগ্াংশ
  • 17. decimal to octal (.6779)10= (? )8 .6779*8= 5 . 4232 .4232*8= 3 . 3856 .3856*8= 3 . 0848 .0848*8= 0 . 6784 ………………………………………………. ………………………………………………. (.6779)10= (.5330 … … )8
  • 18. decimal to Hexadecimal (.6779)10= (? )16 .6779*16= 10 = 𝐴 . 8464 .8464*16= 13 = 𝐷 . 5424 .5424*16= 8 . 6784 .6784 10 = 𝐴 . 8544 …….. …… ….. …… …. ……. ….. …. …. ….. (.6779)10= (. 𝐴𝐷8𝐴 … … . . )16
  • 19. (18.175)10= (? )2 18/2= 9 0 9/2= 4 1 4/2= 2 0 2/2= 1 0 ½= 0 1 𝑀𝑆𝐵 𝐿𝑆𝐵 (18)10= (10010)2 .175*2= 0 . 35 .35*2= 0 . 7 .7*2= 1 . 4 .4*2= 0 . 8 ….. …. …. …. …. ….. ….. ….. (.175)10= (.0010 … )2 (18.175)10= (10010.0010 … . )2 𝐿𝑆𝐵 𝑀𝑆𝐵
  • 21. (176.125)10= (? )8 176/8= 22 0 22/8= 2 6 2/8= 0 2 (176)10= (260)8 .125*8= 1 0 (.125)10= (.1)8 ∴ (176.125)10= (260.1)8
  • 22. 𝑯𝒐𝒎𝒆 𝑾𝒐𝒓𝒌 1. (𝟗𝟖𝟐. 𝟑𝟒𝟓) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔 2. (𝟗𝟕𝟖. 𝟏𝟑𝟐𝟓) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔 3. (𝟗𝟐. 𝟏𝟐𝟒𝟖) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔 4. (𝟖𝟕𝟓. 𝟑𝟗𝟖) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔 5. (𝟐𝟑𝟒𝟐. 𝟑𝟒𝟗𝟓) 𝟏𝟎= (? ) 𝟐, (? ) 𝟖, (? ) 𝟏𝟔