11月数学113解答 兼答2HEIGHT

rosemsem

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

正确。

k除以m是偶数.表示k的2height至少比m大1

nikema

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Yuwusheng

great answer

rosemsem

thx

rosemsem

执子之手, pls check this out.

rosemsem

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

zmmdd

This is really helpful. Thanks!