Problem

Convert the decimal number to the given base.
6784 to base sixteen
$1 \mathrm{~A}^{80_{\text {sixteen }}}$
$01 \mathrm{~A} 8_{\text {sixteen }}$
$1 \mathrm{~A} 08_{\text {sixteen }}$
$1 \mathrm{~A} 81_{\text {sixteen }}$

Answer

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Answer

The decimal number 6784 converted to base sixteen is \(\boxed{1A80}\).

Steps

Step 1 :Convert the decimal number to the given base.

Step 2 :6784 to base sixteen

Step 3 :In base sixteen, digits can be 0-9 and A-F, where A represents 10, B represents 11, and so on up to F which represents 15.

Step 4 :Use the built-in function to convert the decimal number to hexadecimal (base sixteen).

Step 5 :Remove the prefix '0x' from the result.

Step 6 :The decimal number 6784 converted to base sixteen is \(\boxed{1A80}\).

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