2 ms·
(no troll) 1/2 + 1/4 + 1/8 + 1/16 + ... = 1 is like a binary version of 9/10 + 9/100 + 9/1000 + ... = 0.999... = 1
by notaddicted 17y ago
(no troll)
1/2 + 1/4 + 1/8 + 1/16 + ... = 1
is like a binary version of
9/10 + 9/100 + 9/1000 + ... = 0.999... = 1
- cruise02 17y agoGood observation. This is more apparent if you switch to decimal notation, (For want of a better term. I'm sure there's a name for it, I just don't know what to call the decimal point when you're talking about binary. Surely "decimal" point is wrong.) In binary: 0.1 + 0.01 + 0.001 + 0.0001 + ... = 0.1111... = 1 In decimal: 0.9 + 0.09 + 0.009 = ... = 0.999... = 1