In message <

5.0.0.25.2.20020531235709.033ebba0@...>, Markus

Frind <

flames@...> writes

>Is there a conjecture that states that every even number can be expressed

>as the sum of powers of 2 ?

>

>42 = 32 + 8 + 2

>

>Powers of 2 that weren't used to get to 42..

>4,16

>

>The next power of 2 over 42 is 64. If we go 64 - 16 -4 we should

>get 44 ( we always end up with the number +2)

>

>134 = 2+4+128

>

>powers that weren't used...

>136 = 256 - (16+32+64+8)

Well, yes. If you used bit 0 as well, you would find that two's

complement arithmetic worked properly without being out by two.

--

Ben