1/2+1/4+1/8+1/16+1/32
=1/2+1/4+1/8+1/16+(1/32+1/32)-1/32
=1/2+1/4+1/8+(1/16+1/16)-1/32
=1/2+1/4+(1/8+1/8)-1/32
=1/2+(1/4+1/4)-1/32
=(1/2+1/2)-1/32
=1-1/32
=31/32