षोडश आधारी संख्या 4DF को उसके अष्टाधारी समकक्ष में बदलें।

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NIMCET 2013 Official Paper
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  1. 2333
  2. 2337
  3. 2773
  4. 2373

Answer (Detailed Solution Below)

Option 2 : 2337
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Detailed Solution

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गणना:

षोडश आधारी संख्या प्रणाली में 4DF16 है और इसे अष्टाधारी में बदलना चाहते हैं।
ऐसा करने के लिए, पहले इसे यहाँ दशमलव में अनुवाद करें:

4DF16 = 4 × 16+ 13 × 16+ 15 × 160 = 1024 + 208 + 15 = 124710

यहाँ 124710 को अष्टाधारी प्रणाली में परिवर्तित करना:

किसी संख्या का पूरा भाग नए के आधार पर विभाजित करके प्राप्त किया जाता है

विभाजन
8 तक

भागफल

शेष

1247/8

155

7

155/8

19

3

19/8

2

3

 

∴ 124710 = 23378

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