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# This is a problem about microcomputer principle bit extension

echo_xiuxiu 注册会员
2023-02-28 15:09

the reference answer GPT ᴼ ᴾ ᴱ ᴺ ᴬ ᴵ < br / > has $15$for a bit address and 8 bits of data storage, Its total storage is $2^{15} \times 8$bits. Now consider how to divide it into several chipsets.

Suppose a chipset has an address digit of $k$, then the memory of the chipset is $2^k \times 8$bits. In order to store the data of the entire memory, the following inequalities must be satisfied:

Where $n$represents the number of chipsets. Divide both sides of this inequality by $2^k \times 8$to get: < br / >

< div class = "aw - list - img >

< br / > because $n$must be an integer, so have a $2 ^} {15 k \ \ leq leq n ^ 2} {16 - k - 1$. Try $k$from $1$to find that when $k=13$, $n \geq 1$, and $n \leq 8$. Therefore, the entire system should be divided into \$8 chipsets.

cuiliang521 注册会员

Publish Time
2023-02-28 15:09
Update Time
2023-02-28 15:09