00:29
satheeshkumar
I)How to convert any radix number to decimal number system ?
Any radix number to Decimal number system
where
p-> No of digits to the left of the radix.
n->No of digits to the right of the radix.
d->value of the number.
r->radix of the number.
1)Binary to Decimal conversion
Example
101112 = 1*24 + 0*23 + 1*22 + 1*21 + 1*20 = 2310
Any radix number to Decimal number system
where
p-> No of digits to the left of the radix.
n->No of digits to the right of the radix.
d->value of the number.
r->radix of the number.
1)Binary to Decimal conversion
Example
101112 = 1*24 + 0*23 + 1*22 + 1*21 + 1*20 = 2310
2)Octal number system to Decimal number system
Example
278 = 2*81 + 7*80 = 2310
3)Hexadecimal number system to Decimal number system
Example
1716 = 1*161 +7*160 = 2310
II)How to convert decimal to any radix number?
1)Decimal to Binary conversion
Example
2310 = 101112
2)23 Remainder
2)11 ----1
2)5 --------1
2)2---------1
2)1----------0
2)Decimal to Octal
conversion
Example
2310 = 278
8)23
Remainder
8)2 -----7
3)Decimal to hexadecimal conversion
Example
2310 = 1716
16)23 Remainder
16)1 -----7
More examples
1)Binary to octal
Example
11011.0112 =
011 011 . 011 = 33.38( group of 3s)
2)Binary to hexadecimal
Example
11011.0112 = 0001 1011 . 0110
= 1B.616(group of 4s)
3)Decimal to binary conversion
Example
0.710 = ?2
0.7*2=1.4
0.4*2=0.8
0.8*2=1.6
0.6*2=1.2
Ans
0.710 =
0.10112
4)Octal to binary conversions
Example
(123.4567)8 = (001 010 011 .
100 101 110 111)2
5)Hexadecimal to binary conversions
Example
(123A.58C)16 = (0001 0010 0011 1010
. 0101 1000 1100)2
