convert any decimal number between 1 to 10 by multiplying the number with 10^n.

I have to convert any decimal number between 1 to 10 by multiplying the number with 10^n. As for example, if a=12.345 it should be 1.2345*10^1 if a=2.345 it should be 9.2345*10^0 if a=0.345 it should be 0.345*10^1 if a=0.0345 it should be 3.45*10^2 How can i do that ?

[Jan]

 a=2.345 it should be 9.2345*10^0 ?

Answer 1

[Star Strider]

I wrote a little utility function for my own use a while back to do just that:

expstr = @(x) [x*10.^floor(1-log10(abs(x)))  floor(log10(abs(x)))];
a = 12.345;
b = expstr(a)

b =
    1.2345    1.0000

I leave the rest to you.

[Raihan Ul Islam]

thanks for the solution. Will it be possiable to explain a bit about the logic

[Star Strider]

My pleasure.

The first element calculates the mantissa by multiplying the argument by 10 raised to the integer power calculated by the absolute value of the base 10 logarithm of the argument rounded toward -Inf and subtracted from 1. The second element is simply the exponent of the argument, calculated as the absolute value of the base 10 logarithm of the argument rounded toward -Inf.

Experiment with the various parts of the calculations to see how they work.