Binary to Decimal
|
Binary
|
Decimal
|
|
110112
|
|
|
24+23+01+21+20
|
=16+8+0+2+1
|
|
Result
|
2710
|
Decimal to binary
|
Division
|
Remainder
|
Binary
|
|
25/2
|
= 12+ remainder of 1
|
1 (Least Significant Bit)
|
|
12/2
|
= 6 + remainder of 0
|
0
|
|
6/2
|
= 3 + remainder of 0
|
0
|
|
3/2
|
= 1 + remainder of 1
|
1
|
|
1/2
|
= 0 + remainder of 1
|
1 (Most Significant Bit)
|
|
Result
|
2510
|
= 110012
|
Binary to octal
100 111 0102 = (100) (111) (010)2 = 4 7 28
Decimal to octal
|
Division
|
Result
|
Binary
|
|
177/8
|
= 22+ remainder of 1
|
1 (Least Significant Bit)
|
|
22/ 8
|
= 2 + remainder of 6
|
6
|
|
2 / 8
|
= 0 + remainder of 2
|
2 (Most Significant Bit)
|
|
Result
|
17710
|
= 2618
|
|
Binary
|
|
= 0101100012
|
Decimal to Hexadecimal
|
Division
|
Result
|
Hexadecimal
|
|
378/16
|
= 23+ remainder of 10
|
A (Least Significant Bit)23
|
|
23/16
|
= 1 + remainder of 7
|
7
|
|
1/16
|
= 0 + remainder of 1
|
1 (Most Significant Bit)
|
|
Result
|
37810
|
= 17A16
|
|
Binary
|
|
= 0001 0111 10102
|
The conversion of hexadecimal to binary
1011 0010 11112 = (1011) (0010) (1111)2 = B 2 F16
The conversion of hexadecimal to octal
|
Hexadecimal
|
Binary/Octal
|
|
5A816
|
= 0101 1010 1000 (Binary)
|
|
|
= 010 110 101 000 (Binary)
|
|
Result
|
= 2 6 5 0 (Octal)
|
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