lorrainelonon

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lorrainelonon

@lorrainelonon

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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).
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