11月数学113解答兼答2HEIGHT

rosemsem · 发表于 2003-12-5 04:48:00

113) 2height那道. 说对于含2的n次方的数, 2 height 指的是n的值. 问k 和m 谁的2height 大.
(1)k>m
(2) k除以m是偶数.
(please notice k,k;m,m;e)
K = a* 2^k;
M = b* 2^m;
(1) k>m, means nothing.
(2) k/m= (a/b) * (2^k/2^m) = 2^e;
A, b must be odd number, or you can extract at least one more 2, which gonna change k or m. So in this case, (a/b) must be 1, otherwise it would be a fraction.
In a word, k-m=e. K>m.
B is sufficient.

anchoret · 发表于 2003-12-5 08:58:00

正确。

k除以m是偶数.表示k的2height至少比m大1

nikema · 发表于 2003-12-5 12:39:00

anchoret, could you invite rosemsem to be a "BAN ZhU", otherwise, human resource would be wasted. Thanks!

Yuwusheng · 发表于 2003-12-5 14:43:00

great answer

rosemsem · 发表于 2003-12-6 02:16:00

rosemsem · 发表于 2003-12-12 08:32:00

执子之手, pls check this out.

rosemsem · 发表于 2003-12-18 01:53:00

i saw many raising up question about 2-height, so pls check out this post.

zmmdd · 发表于 2016-8-2 11:08:16

This is really helpful. Thanks!

11月数学113解答兼答2HEIGHT