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Step 1 – write the number in base‑10



[




3\times 2^-12=6.3 \times \frac12^12


=6.3 \times \frac14096
]



Because \(2^12=4096\), the expression is



[
\frac6.34096.
]



---



Step 2 – perform the division



You can do this in two ways:



Long‑division (hand calculation)

Divide 6.3 by 4 096 directly, which gives a decimal that starts with \(0.\).

The first few digits are



[




001537…


]

So the exact value is about \(1.537\times10^-3\).



Using a calculator

If you have a scientific or graphing calculator, simply enter `6.3 ÷ 4096`.

The display will show the result, typically rounded to the device’s precision.



Both methods give the same number:




[
\frac6.34096 \approx 0.001537.
]



Thus the answer is \(1.537\times10^-3\) (to three significant figures).