(65)8 के संबंधित दशमलव समकक्ष और षट्भुज दशमलव समकक्ष बताइए।

This question was previously asked in
DFCCIL Executive (Electrical) Official Paper (Held On: 11 Nov, 2018 Shift 2)
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  1. 53, 35
  2. 46, 65
  3. 65, 46
  4. 35, 53

Answer (Detailed Solution Below)

Option 1 : 53, 35
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अवधारणा:

चरण 1: रूपांतरण: अष्टाधारी से दशमलव तक

चरण 2: रूपांतरण: दशमलव से षोडश आधारी तक

गणना:

चरण 1:

रूपांतरण: अष्टाधारी से दशमलव तक

(65)8 = 6 × 8 + 5 × 80

= 53

चरण 2:

रूपांतरण: दशमलव से षोडश आधारी

16

53

 

16

3

5

16

0

3

 

शेषफल को नीचे से ऊपर तक पढ़ें: (35)H

इसलिए, अष्टाधारी संख्या 658 के षोडश आधारी समतुल्य: (35)H

द्विआधारी से षोडश आधारी रूपांतरण तालिका:

0000

0001

0010

0011

0100

0101

0110

0111

1000

1001

1010

1011

1100

1101

1110

1111

0

1

2

3

4

5

6

7

8

9

A

B

C

D

E

F

 

युक्तियाँ और चालें:

अष्टक में प्रत्येक अंक द्विआधारी के 3 बिट्स का प्रतिनिधित्व करता है और षोडश आधारी में हर अंक द्विआधारी में 4 बिट्स है

(65)8 = (110 101 )2

षोडश आधारी प्रतिनिधित्व प्राप्त करने के लिए 4 के जोड़े बनाते हुए, हम प्राप्त करते हैं:

(110 101)2 = (0011 0101)2 = (35)16
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