

Volume 3 No.3, Fall 1999 
ISSN# 15239926 
Harry
Franz
UHD,
Houston, Texas
Many calculators only automatically convert integer values from a number system base to another. The typical bases available are decimal, binary, octal, and hexadecimal. Often it is useful to be able to use the calculator to convert “fractional” values from one number base to another.
This method basically shifts the fractional part to an integer value, uses the automatic conversion feature of the calculator, then shifts the converted value back to the proper radix point position.
This method could be programmed into a calculator either by the user or manufacturer. The part to consider the most is to use the biggest power value for the multiplier of the final base , without exceeding the limits of the calculator.
Example convert 0.1234
in decimal to binary
Multiply 0.1234 by the biggest possible power of two, since it is to be converted to binary.
0.1234_{10} x 2^{10 }=126.3616 _{10 }
Convert integer part auto. > 1111110_{2}
Shift
Back 10 places
> 0.000111111_{2 }
Example
convert 0.163 in decimal to octal
Multiply 0.163 by the biggest power of eight, since it is to be converted to
octal.
0.163_{10 x }8^{10 }= 175019917.3_{ 10 }
Convert integer part auto. >1233513615_{8}
Shift Back 10 Places > 0.1233513615_{ 8 }_{}