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让我们来思考一下二进制数和十进制数之间的关系。
首先,我们来看看日常使用的十进制数。
例如,如果数字是1359(十进制),加1,就变成了1360。
这样,当十进制数超过9时,它就变成了10,也就发生了进位。
1359可以如右图中的公式进行拆解。
这里使用的10³、10²、10¹、100称为“权重”。
现在,让我们看看二进制数。
二进制是由0和1组成的数字,当它变成2时,就会发生进位。
例如,我们将权重添加到1110(二进制)。
在二进制数时,权重变成了2³、2²、2¹、20。
计算这个公式时,它可以转换为十进制数。
在这种情况下,8+4+2+0就变成了14。
这样,十进制数最多可增加到1、10、100、1000位,而二进制数最多可增加到1、2、4、8位。