Subjects algebra

Hexadecimal Sums

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1. The problem is to find the sum of two hexadecimal numbers. 2. Hexadecimal numbers use base 16, with digits 0-9 and letters A-F representing values 10-15. 3. To add hexadecimal numbers, convert each digit to decimal, add, and convert back to hexadecimal if needed. 4. For example, to add $\text{1A} + \text{2F}$: - Convert $\text{1A}$ to decimal: $1 \times 16 + 10 = 26$ - Convert $\text{2F}$ to decimal: $2 \times 16 + 15 = 47$ - Add decimals: $26 + 47 = 73$ - Convert back to hexadecimal: $73 \div 16 = 4$ remainder $9$, so $\text{49}$ in hex. 5. Therefore, $\text{1A} + \text{2F} = \text{49}$ in hexadecimal. 6. This method applies to any hexadecimal sum by converting to decimal, adding, and converting back.