Digital Electronics - Digital Concepts - Discussion

Discussion Forum : Digital Concepts - General Questions (Q.No. 22)
22.
Convert the fractional binary number 0000.1010 to decimal.
0.625
0.50
0.55
0.10
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
28 comments Page 1 of 3.

Chennaiah said:   1 decade ago
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

Anitha said:   1 decade ago
Absolutely correct format.

Karthik said:   1 decade ago
Thanks, good explanation by Mr. Chennaiah.

Vinsan said:   1 decade ago
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.

Cyril said:   1 decade ago
0.1010
=1x2^-1 + 0 + 1x2^-3 + 0
=(1/2)+(1/8)
=0.5+0.125
=0.625

Pritam said:   1 decade ago
Nice expressed by cyril.

Rajesh said:   1 decade ago
Good Explanation

THAMIZHSELVAN said:   1 decade ago
Short and sweet explanation by CYRIL.

BHAVANA said:   1 decade ago
Good explanation vinsan.

Nandini said:   1 decade ago
Good explanation vinsan.


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