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980.85D convert to hexadecimal number = 3D4 . ??

how to solve the answer after the decimal point?

Thank you in advanced.

Bilis
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1 Answers1

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The first place after the point is sixteenths, so think $.85 = \frac{x}{16}$. So $x=16\cdot(.85)=13.6$. So the first hex digit is $D$. Then keep iterating this process (i.e., multiply the new decimal part by 16, and use the integer part of the result for the next hex digit) until the process terminates or you get repetition.

paw88789
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  • thanks but i could not understand after .85 what is the new decimal part? – Bilis Aug 13 '14 at 03:14
  • The .6 is the new decimal part (from the 13.6). The idea is that you have $\frac{.6}{16}$ left to deal with, and the next place value is $256^{\text{th}}$s. So you have $\frac{.6}{16}=\frac{y}{256}$. You multiply by 256 to find the value of $y$, which will give you a whole number part (your next hex digit) and a decimal part which you'll work with in the next step. – paw88789 Aug 13 '14 at 03:20
  • ohh i c thanks again but where the 256th came from? – Bilis Aug 13 '14 at 03:50
  • $\frac{1}{256}$ is the second place value to the right of the hexadecimal point. – paw88789 Aug 13 '14 at 04:17
  • how about third and fourth place value to the right of the hexadecimal point? – Bilis Aug 13 '14 at 05:05
  • Just keep multiplying by $\frac{1}{16}$. – paw88789 Aug 13 '14 at 05:21
  • ok got it..thanks ^^ – Bilis Aug 13 '14 at 07:10