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