A sample output for 5-bit starting at 10000 with bits reversed
step=0,  val=10000 =16   bit pattern and decimal value 
step=1,  val=00001 =1 
step=2,  val=00011 =3 
step=3,  val=00111 =7 
step=4,  val=01110 =14 
step=5,  val=11100 =28 
step=6,  val=11001 =25 
step=7,  val=10011 =19 
step=8,  val=00110 =6 
step=9,  val=01101 =13 
step=10, val=11011 =27 
step=11, val=10111 =23 
step=12, val=01111 =15 
step=13, val=11111 =31 
step=14, val=11110 =30 
step=15, val=11101 =29 
step=16, val=11010 =26 
step=17, val=10100 =20 
step=18, val=01000 =8 
step=19, val=10001 =17 
step=20, val=00010 =2 
step=21, val=00100 =4 
step=22, val=01001 =9 
step=23, val=10010 =18 
step=24, val=00101 =5 
step=25, val=01010 =10 
step=26, val=10101 =21 
step=27, val=01011 =11 
step=28, val=10110 =22 
step=29, val=01100 =12 
step=30, val=11000 =24 
set finished 2^n -1=31