$$\frac{ 4 \times (1- { \left( \frac{ 1 }{ 2 } \right) }^{ 10 } ) }{ 1- \frac{ 1 }{ 2 } }$$
$\frac{1023}{128}=7.9921875$
$$\frac{4\left(1-\frac{1}{1024}\right)}{1-\frac{1}{2}}$$
$$\frac{4\left(\frac{1024}{1024}-\frac{1}{1024}\right)}{1-\frac{1}{2}}$$
$$\frac{4\times \frac{1024-1}{1024}}{1-\frac{1}{2}}$$
$$\frac{4\times \frac{1023}{1024}}{1-\frac{1}{2}}$$
$$\frac{\frac{4\times 1023}{1024}}{1-\frac{1}{2}}$$
$$\frac{\frac{4092}{1024}}{1-\frac{1}{2}}$$
$$\frac{\frac{1023}{256}}{1-\frac{1}{2}}$$
$$\frac{\frac{1023}{256}}{\frac{2}{2}-\frac{1}{2}}$$
$$\frac{\frac{1023}{256}}{\frac{2-1}{2}}$$
$$\frac{\frac{1023}{256}}{\frac{1}{2}}$$
$$\frac{1023}{256}\times 2$$
$$\frac{1023\times 2}{256}$$
$$\frac{2046}{256}$$
$$\frac{1023}{128}$$
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$\frac{3 \cdot 11 \cdot 31}{2 ^ {7}} = 7\frac{127}{128} = 7.9921875$
