某机器的字长为8,符号位占1位,数据位占7位,采用补码表示时的最小整数 为( )。
- A.-2^8
- B.-2^7
- C.-2^7+l
- D.-2^8+1
正确答案及解析
正确答案
解析
补码表示的规则是:用最高位表示符号,正数用0表示,负数用1表示,正数的补码是其原码本身,负数的补码的数值部分是对其原码的数值部分按位取反后加1。例如, 十进制整数+1的补码表示为00000001,-1的补码表示为11111111。机器字长为8时,用7位表示数值,最大整数值为12^7 (补码表示为01111111),最小整数值为-12^8=-2^7 (补码表示为10000000)。
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