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Every positive integer can be represented uniquely in base $$11$$ by
$$(a_n......a_2 a_1 a_0)_{11}$$= $$a_n(11^{n})+......a_2(11^{2})+a_1(11^{1})+a_0(11^{0})$$
for some nonnegative integer $$n$$. In the expression, the coefficient $$a_i$$ of $$11^i$$ is one of the digits from 0 to 9 or A, which represents 10, for $$0 ≤ i ≤ n$$, but $$a_n≠ 0$$. For example, $$(4A5)_{11}=599$$ because
$$(4A5)_{11}= 4(11^2)+10(11^1)+5(11^0)$$.
What is the value of $$(8,423)_{11}- (6,682)_{11}$$?
$$(a_n......a_2 a_1 a_0)_{11}$$= $$a_n(11^{n})+......a_2(11^{2})+a_1(11^{1})+a_0(11^{0})$$
for some nonnegative integer $$n$$. In the expression, the coefficient $$a_i$$ of $$11^i$$ is one of the digits from 0 to 9 or A, which represents 10, for $$0 ≤ i ≤ n$$, but $$a_n≠ 0$$. For example, $$(4A5)_{11}=599$$ because
$$(4A5)_{11}= 4(11^2)+10(11^1)+5(11^0)$$.
What is the value of $$(8,423)_{11}- (6,682)_{11}$$?
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· 相关考点
3.6.2 新定义函数
3.6.2 新定义函数
以上解析由 考满分老师提供。
