python - How do I decompose a number into powers of 2? -


i'm trying create function receives number argument , performs actions on number find out closest powers of 2 add number. example, if user enters 4, function append 4 because power of 2. if user enters 14 function should see 14 not power of 2 , closest powers of 2 make 14 2,4, , 8.

key notes: going 2^9.

what have far:

def powers_finder(n):     powers=[]     i=0     total=0     while i<10:          value=2**i          total=total+value          i=i+1          #this if statement if user enters power of 2 n          #then number appended right away powers list.          if value==n:             powers.append(value)

the problem here being if user enters in lets 5 (n) 5 made of power 2^2=4 , 2^0=1 4+1=5. how can extend function include process?

thank you!

most efficient way of doing this:

def myfunc(x):     powers = []     = 1     while <= x:         if & x:             powers.append(i)         <<= 1     return powers

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