1/2+1/4+1/8+1/16.+1/256
=(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16).+(1/128-1/256)
=1-1/2+1/2-1/4++1/4-1/8+1/8-1/16+1/16-.-1/128+1/128-1/256
=1-1/256
=255/256
1/2+1/4+1/8+1/16.+1/256
=(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16).+(1/128-1/256)
=1-1/2+1/2-1/4++1/4-1/8+1/8-1/16+1/16-.-1/128+1/128-1/256
=1-1/256
=255/256