home > q&a board > other > topic: binary to decimal

Q BgQuestion:

Guru
Karma Points: 1,712
Respect (95%):
posted by  willydlw on 8/27/2008 11:30:24 AM  |  status: Closed  

Binary to decimal

Course Textbook Chapter Problem
Discrete Math Numerical Analysis N/A N/A
Question Details:
Convert the binary number 110.1101101101101101101 or 110.1with 101 repeating
to base 10.
         ----
110.1101 base 2 =  what base 10 ?

The integer part 110 is 6 base 10.  I need a detailed explanation of how to find the fractional part.
Bonus Point Alert! Earn +4 additional karma points for helping this annual member.

AAnswers:

Answer Question
Novice
Karma Points: 17
posted by keving7685 on 8/27/2008 8:36:05 PM  |  status: Live
Asker's Rating: Somewhat Helpful   
willydlw's comment:
"The part I was having trouble with was the repeating fraction, but I've figured it out. Thanks for trying"
Response Details:
When dealing with fractional portions and number converting, the numbers to the right of the decimal point begin with negative exponents.

So, for binary, a number like 1010.0101 is converted to. . . 10.3125

The same process can be applied to your problem only with many more negative exponent terms.  Let me know how it goes.
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different than tutoring »

Need Help In

Useful Links