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
