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The hexadecimal representation of (567)8 is
1. 1AF
2. D77
3. 177
4. 133

1 Answer

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Best answer
Correct Answer - Option 3 : 177

The correct answer is 177.

Concept:

Step 1: Conversion: Octal to decimal

Step 2: Conversion: decimal to Hexadecimal

Calculation:

Step 1:

Conversion: Octal to decimal

(513)8 = 5 × 82 + 6 × 8 + 7 × 80

= 375

Step 2:

Conversion: decimal to Hexadecimal

16

375

 

16

23

7

16

1

7

 

0

1

 

Read the remainder from bottom to top: 177

Therefore, hexadecimal equivalent of octal number (567)8 is 177.

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

 

Binary to Hexadecimal conversion table:

Tips and Tricks:

Every digit in octal represents 3 bits of binary and every digit in hexadecimal is 4 bits in binary

(567)8 = (101 110 111)2

Forming pairs of 4 to get the hexadecimal representation, we get:

(101 110 111)2 = (0001 0111 0111)2 = (177)16

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