C语言中 有符号类型的int范围(-128----127)是怎么求出来的,特别是-128 怎么理解 负数用二进制怎么表示
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恩!首先要指出你的一个错误!int的范围不是(-128----127)这个是char的范围,
范围的大小是由类型所占有的字节来决定的。如此所示:char是一个字节8bit,那么在二进制中,8bit最大值是255,最小值是0(在是在无符号时)如果是有符号的话.那么就还有一位是符号为,最高位是符号为。例如:1111 1111:如果是有符号的char数据那么这个数的-1;最高是符号位,如果是1,就是负数,如果是0是正数。
0111 1111 就是+127;
那么1111 1111 怎么理解是-1嗯!在数电中提到,对于一个负数要用它的反码来表示。
如:1111 1111 的反码是1000 0001.怎么的来呢!?
首先,我们要得到-1的值,那么第一步是的好1000 0001,最高位1是符号位,最后一个1是数值位。但是在机器中我们要用反码来表示此值。那么就要求他的反码。反码的求法是符号位不变。数值位取反加一。
取反后是结果是:1111 1110
再加一的结果是:1111 1111
如果是1,那么1 的8位表示是0000 0001
解释的很少!你可以自己看看,如果不懂可以在聊!
负数用C语言表示就是数据在转化成2进制以后最高位不代表数据内容,二代表数据的符号,比如01111111就表示+127,11111111是-128的补码,补码和源码的关系可以参见这个提问http://zhidao.baidu.com/question/181720031.html
希望对你有帮助
二进制 0000 0000 表示0
有符号数INT 会将第八位作为符号位 1表示复数 0表示正数
0 000 0001 表示 1
1 000 0001 表示-1
但C语言中不同 用的是二进制补码方式
1 111 1111 表示-1
1 000 0001 表示-127
in范围-32768~32767,
char范围-128~127;
char占以字节,最小值1111 1111(补码)换算成原码就是-128,最大值0111 1111(同样是补码)
最高位是符号位
1位二进制可以表示0,1两种状态,即2的1次方,
2位二进制可以表示4种状态,即2的2次方,
。。。
n位二进制可以表示2的n次方种状态,如8位二进制可以表示2的8次方,即256种状态。
如果表示无符号数,可以表示的范围从0到255,注意,不是256,是255,或者说0到(2的n次方-1)。
如果用来表示有符号数,约定,最高位为1表示负数,其中正数128个,负数128个,合计共256个。具体可以看一下百度的百科:补码。
至于-128的意思,是按照补码的方式来表示,8位2进制最小可以表示的数就是-128。
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