Convert FA23D of base 16 to octal number system
Answers
Hexadecimal to Octal
In this type of questions first we have to convert hexadecimal into binary and then binary to octal
hexadecimal to binary
- A = 10
- B = 11
- C = 12
- D = 13
- E = 14
- F = 15
FA23D = 15 10 2 3 13
one by one we will convert each digit in binary
15
2 |15| 1
2 | 7 | 1
2 | 3 | 1
2 | 1 | 1
2 | 0 |
- => 1111
10
2 |10| 0
2 | 5 | 1
2 | 2 | 0
2 | 1 | 1
2 | 0 |
- => 1010
2
2 | 2 | 0
2 | 1 | 1
2 | 0 |
- 10
- it is not of four bit so we have to make it of four bit
- => 0010
3
2 | 3 | 1
2 | 1 | 1
2 | 0 |
- 11
- it is not of four bit so we have to make it of four bit
- => 0011
13
2 |13| 1
2 | 6 | 0
2 | 3 | 1
2 | 1 | 1
2 | 0 |
- => 1101
Binary of FA23D is 1111 1010 0010 0011 1101
Binary to octal
we will divide it in 3 bit
011 . 111 . 010 . 001 . 000 . 111 . 101
011
0×2^2 + 1×2^1 + 1×2^0
0 + 2 + 1
= 3
111
1×2^2 + 1×2^1 + 1×2^0
4 + 2 + 1
= 7
010
0×2^2 + 1×2^1 + 0×2^0
0 + 2 + 0
= 2
001
0×2^2 + 0×2^1 + 1×2^0
0 + 0 + 1
= 1
000
0×2^2 + 0×2^1 + 0×2^0
= 0
111
1×2^2 + 1×2^1 + 1×2^0
4 + 2 + 1
= 7
111
1×2^2 + 0×2^1 + 1×2^0
4 + 0 + 1
= 5
binary to octal 3721075
Hexadecimal to octal
FA23D = 3721075
Explanation:
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