+13/128 用二进制定点数和规格化浮点数分别表示。
时间: 2024-06-01 09:10:16 浏览: 272
二进制定点数表示:
13 = 0000 1101,128 = 1000 0000
因为128比13大,所以需要确定小数点的位置。假设小数点位置为4,则可以表示为:
13 = 0000.1101,128 = 1000.0000
规格化浮点数表示:
13的二进制为0000 1101,符号位为0,指数位为3(即2的3次方),尾数为1.101,因此可以表示为:
0 011 1010 0000 0000 0000 000
其中,第一个0表示符号位为正,011表示指数位为3+127=130的二进制,1010 0000 0000 0000 0000 000为尾数的23位(因为单精度浮点数尾数为23位)。
同理,128的二进制为1000 0000,符号位为0,指数位为7,尾数为1,因此可以表示为:
0 111 0000 0000 0000 0000 000
其中,111表示指数位为7+127=134的二进制,0000 0000 0000 0000 0000 000为尾数的23位。
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