To convert 2553 from base 10 to base 16, we can use the following steps:
Step 1: Divide 2553 by 16 and write down the quotient and remainder:
2553 ÷ 16 = 159 remainder 9
Step 2: Write down the remainder (9) as the least significant digit (rightmost digit) in the base 16 number.
Step 3: Divide the quotient (159) by 16 and write down the new quotient and remainder:
159 ÷ 16 = 9 remainder 15
Step 4: Write down the remainder (15) as the next digit to the left in the base 16 number. Since 15 represents the value of the decimal number 15, we represent it as the letter F in base 16.
Step 5: Repeat steps 3 and 4, dividing the quotient by 16 until the quotient is zero:
9 ÷ 16 = 0 remainder 9
0 ÷ 16 = 0 remainder 0
Step 6: Write down the final remainder (9) as the most significant digit (leftmost digit) in the base 16 number.
Step 7: Combine all the digits in reverse order to obtain the final answer:
2553 base 10 = 9F9 base 16
Therefore, 2553 in base 10 is equal to 9F9 in base 16.