Digital Electronics - Digital Concepts - Discussion

If u want to convert binary number into decimal it is very simple
just multiplication, division and addition.

First of all u should know base value of binary
i.e 2

now start converting b 0000.1010-->d


L<-0-0-0-0(.)--1--0----1----0---->R 1/2^1 = .5
..8 4 2 1 .5 .25 .125 .0625.... 1/2^2 = .25
1/2^3 = .125 etc..
d=(0*8)+(0*4)+(0*2)+(0*1)+(1*.5)+(0*.25)+(1*.125)+(0*.0625)
d=.5+.125
d=.625

Note: Don't do calculations blindly.. Just ignore 0's and then calculate like in step-2 as above.

0000 . 1010
| | | | | | | |___0*2^-4 = 0
| | | | | | |_____1*2^-3 = 1/8 = 0.125
| | | | | |_______0*2^-2 = 0
| | | | |_________1*2^-1 = 1/2 = 0.5
| | | |_____________0*2^0 = 0 -------
| | |_______________0*2^1 = 0 0.625
| |_________________0*2^2 = 0
|___________________0*2^3 = 0

I think it easy to learn

0 0 0 0 . 1 0 1 0
| | | | | | | |___0*2^-4 = 0.
| | | | | | |_____1*2^-3 = 1/8 = 0.125.
| | | | | |_______0*2^-2 = 0.
| | | | |_________1*2^-1 = 1/2 = 0.5.
| | | |_____________0*2^0 = 0 -------.
| | |_______________0*2^1 = 0 0.625.
| |_________________0*2^2 = 0.
|___________________0*2^3 = 0.

0 0 0 0 . 1 0 1 0
| | | | | | | |___0*2^-4 = 0.
| | | | | | |_____1*2^-3 = 1/8 = 0.125.
| | | | | |_______0*2^-2 = 0.
| | | | |_________1*2^-1 = 1/2 = 0.5.
| | | |_____________0*2^0 = 0 -------.
| | |_______________0*2^1 = 0 0.625.
| |_________________0*2^2 = 0.
|___________________0*2^3 = 0.

BINARY-DECIMAL IS::
....+2power2+2power1+2power0---> berore point value
2power-1+2power-2+2power-3.. --->after point value
so-->>(1*2power-1)+(0*2power-2)+(1*2power-3)+(0*2power-4)
=1/2+0+1/8+0
=625
there for= .625

0.1010 in binary.

Next step is,
1010 decimal value is 10;
Number of fractional digit is (.1010=4).
So 2^4 = 16.

Finally,
10/16 = 0.625.

0.1010 in binary.
1010 decimal value is 10;
A number of fractional digit is (.1010=4).
So 2^4 = 16.
10/16 = 0.625.

(1* 1/2)+(0 * 1/4)+(1 * 1/8) + (0 * 1/16).
= 1/2 + 1/8.
= 5/8,
= 0.625.

0*2^-4 = 0.
1*2^-3 = 0.125.
0*2^-2 = 0.
1*2^-1 = 0.5.
Total = 0.625.

Ya you are right this is most easier to learn, thank you sharief.