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

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 \(\boxed{1A80}\).