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11月数学113解答 兼答2HEIGHT

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发表于 2003-12-5 04:48:00 | 显示全部楼层

11月数学113解答 兼答2HEIGHT

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.
发表于 2003-12-5 08:58:00 | 显示全部楼层
正确。

k除以m是偶数.表示k的2height至少比m大1
发表于 2003-12-5 12:39:00 | 显示全部楼层
anchoret, could you invite rosemsem to be a "BAN ZhU", otherwise, human resource would be wasted. Thanks!
发表于 2003-12-5 14:43:00 | 显示全部楼层
great answer
 楼主| 发表于 2003-12-6 02:16:00 | 显示全部楼层
thx
 楼主| 发表于 2003-12-12 08:32:00 | 显示全部楼层
执子之手, pls check this out.
 楼主| 发表于 2003-12-18 01:53:00 | 显示全部楼层
i saw many raising up question about 2-height, so pls check out this post.
发表于 2016-8-2 11:08:16 | 显示全部楼层
This is really helpful. Thanks!
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