证明题高手进.证明一个数能被2^n整除当且仅当这个数的最后n位数能被4整除.题的意思就是（举个通俗点的） 证明一个数能被4整除,当且仅当这个数的最后两位能被4整除.好的我追加分.

证明题高手进.证明一个数能被2^n整除当且仅当这个数的最后n位数能被4整除.题的意思就是（举个通俗点的） 证明一个数能被4整除,当且仅当这个数的最后两位能被4整除.好的我追加分.
证明题高手进.证明一个数能被2^n整除当且仅当这个数的最后n位数能被4整除.
题的意思就是（举个通俗点的） 证明一个数能被4整除,当且仅当这个数的最后两位能被4整除.好的我追加分.

证明题高手进.证明一个数能被2^n整除当且仅当这个数的最后n位数能被4整除.题的意思就是（举个通俗点的） 证明一个数能被4整除,当且仅当这个数的最后两位能被4整除.好的我追加分.
一个数Z,写成末N位形成的数字C,和其之前的高位形成的数字A之和的形式即 ：
Z = A*10^N + C
那么这个数被2^N 除的余数：
A*10^N + C | 2^N
= A*(2*5)^N + C | 2^N
= A*5^N*2^N + C | 2^N
= C | 2^N
即证得A*10^N + C 与 C,对 2^N 同余.
因此当C | 2^N = 0时,原数A*10^N + C | 2^N = 0

假命题。
反例：110004的最后5位数是10004，能被4整除；而110004不能被2^5（=32）整除.

110004的最后5位数是10004，能被4整除；而110004不能被2^5（=32）整除.

Beijing Times (Reporter Yi Sun intern reporter Eastern Star hammer) yesterday, the director Feng Xiaogang (online watching video works), writer Liu Zhen and Wang Lei, Huayi CEOs talk about shooting th...

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Beijing Times (Reporter Yi Sun intern reporter Eastern Star hammer) yesterday, the director Feng Xiaogang (online watching video works), writer Liu Zhen and Wang Lei, Huayi CEOs talk about shooting the new film "ponder 1942." Wang Lei said, the film will reach 150 million yuan investment，herve leger dress, is expected to stall in the summer 2012 release. Feng said，griffeys, "ponder 1942" will be a strict attitude towards history, through the rediscovery of the disaster to reflect peoples self-worth. Liu Zhen read 1994 novel, "ponder 1942", the Feng Xiaogang always wanted it onto the screen. On the reason，hermes belts orange, mainly because of Feng Xiaogang said in the original multi-angle to better interpret the narrative of history, "the original is divided into two lines, one along the road fleeing victims, a Chiang Kai-shek regimes attitude on this matter and approach in the Chiang Kai-shek regime, from Wei Lihuang，hermes belt, Li PJ, until county, cook county government to give the cooks，nike heels pink, everyone on the victims of this attitude are different movie will be starting from the heart of historical figures, will not do the simple praise or criticism. "Feng said," ponder 1942, "the script to help him a new sense of history," blowing a lot of dust, see the historical truth, I believe the audience would like to see the truth. "He that the film in addition to rigorous description of the history of strokes, but also to reflect on self-worth through a disaster，nike air griffey max 2012, "this film is particularly valuable to our understanding of their own, we can find our movie from the mother who she is, what kind of , we find that our mother is the victims, we are the descendants of thousands of victims of China has gone through numerous large and small disasters, a disaster-ridden nation, but lack some of the disasters on the community to reflect or to reflect the work the film to make up this gap. "Since 2001，white dresses, Feng Xiaogang has been prepared to shoot，nike heels white," ponder 1942 ", and now finally put on the shooting schedule. Feng is with emotion: "allow me to persevere with little work to keep it warm，hermes belts pink, often felt that something good, over time，hermes birkin black, with the mood and life changes，pink dresses, may lose interest and I became a director since , only fond memories of this script, alive must take the film out of it. "" ponder 1942 "to invest up to $ 150 million, but that film is still very difficult Feng," have now read all of the King, and the results are all required to build, could not find the real is，women griffeys, some of the scene requires a lot of processing volume, followed by the extras hard to manage, due to the large-scale shoot fleeing the scene, we need a lot of extras. taken five months ，hermes kelly purple, there are three and a half to four months every day，short sleeve cocktail dresses, people need to follow the actors, their shape also need to spend considerable time and effort. "Sohu microblogging on dialogue with the stars
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