# How do I convert decimal to hexadecimal?

#### Understand the Problem

The question is asking for the method or process to convert a decimal number (base 10) to its equivalent hexadecimal representation (base 16). This involves understanding number base systems and the conversion techniques involved between them.

159

Convert the decimal number 345 to hexadecimal:

[ 345 \div 16 = 21 \text{ remainder } 9 \ 21 \div 16 = 1 \text{ remainder } 5 \ 1 \div 16 = 0 \text{ remainder } 1 ]

Reading the remainders from bottom to top, the hexadecimal representation of 345 is 159.

#### Steps to Solve

1. Divide the decimal number by 16

Divide the decimal number by 16 and note the quotient and the remainder.

1. Record the remainder

The remainder is part of the hexadecimal representation.

1. Repeat the division

Divide the quotient obtained from the previous division by 16 again and record the new remainder. Continue this process until the quotient becomes zero.

1. Combine the remainders in reverse order

The hexadecimal representation is formed by taking the remainders obtained from each division from last to first.

Example: Convert the decimal number 345 to hexadecimal.

[ \begin{array}{c} 345 \div 16 = 21 \text{ remainder } 9 \ 21 \div 16 = 1 \text{ remainder } 5 \ 1 \div 16 = 0 \text{ remainder } 1 \end{array} ]

Now, reading the remainders from bottom to top, the hexadecimal representation of 345 is 159.

Convert the decimal number 345 to hexadecimal:

[ 345 \div 16 = 21 \text{ remainder } 9 \ 21 \div 16 = 1 \text{ remainder } 5 \ 1 \div 16 = 0 \text{ remainder } 1 ]

Reading the remainders from bottom to top, the hexadecimal representation of 345 is 159.