Convert the number from decimal form to the given base. 2715 to base sixteen $$ 2715=\square $$ sixteen

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UpStudy AI · Accepted Answer

1. Divide $$2715$$ by $$16$$:  
   $$
   2715 \div 16 = 169 \text{ remainder } 11
   $$
   The remainder $$11$$ corresponds to $$B$$ in hexadecimal.

2. Divide the quotient $$169$$ by $$16$$:  
   $$
   169 \div 16 = 10 \text{ remainder } 9
   $$
   The remainder $$9$$ remains $$9$$ in hexadecimal.

3. Divide the quotient $$10$$ by $$16$$:  
   $$
   10 \div 16 = 0 \text{ remainder } 10
   $$
   The remainder $$10$$ corresponds to $$A$$ in hexadecimal.

4. Reading the remainders from last to first, we obtain the hexadecimal number:  
   $$
   A9B
   $$

Thus,  
$$
2715 = \text{A9B}_{16}
$$
$$2715$$ in base sixteen is $$A9B$$.

Convert the number from decimal form to the given base. 2715 to base sixteen \( 2715=\square \) sixteen

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