Correct Answer  Option 1 : 1AFH
Concept:
Step 1: Conversion: Octal to decimal
Step 2: Conversion: decimal to Hexadecimal
Calculation:
Step 1:
Conversion: Octal to decimal
(657)8 = 6 × 82 + 5 × 8 + 7 × 80
= 431
Step 2:
Conversion: decimal to Hexadecimal
16

431


16

26

15(F)

16

1

10(A)


0

1

Read the remainder from bottom to top: (1AF)H
Therefore, the hexadecimal equivalent of octal number 6578 : (1AF)H
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
(657)8 = (110 101 111)2
Forming pairs of 4 to get the hexadecimal representation, we get:
(110 101 111)2 = (0001 1010 1111)2 = (1AF)16