Power-of-two fraction handling for the 41C

[quantalume]

I was wondering if there is a program available that converts from decimal to fractions but limits itself to a user-defined power of two in the denominator. For example, if my power-of-two limit is 32 and I have a decimal number of 1.3525, then my conversion would be 1-11/32. Likewise, if my denominator limit is 64, the answer would be 1-23/64. The smallest denominator should always be used; for example, if the decimal number is 1.25, the answer would be 1-1/4, even if the denominator limit is 8 or higher. An added useful feature would be always representing the denominator in the given power of two upon setting of a flag; for example FS 04, then 1.25 = 1-16/64.

Does such a program exist, or should I write this?