number = 247
247 div 16 = 15 r 7 → digit[ 0 ] = 7
number = 15
15 div 16 = 0 r 15 → digit[ 1 ] = F ("15" is in base 10, "F" is the hex digit)
Result: 24710 = 0xF7
To convert 247 from decimal to base 16, repeatedly divide by 16, collecting the remainders in the base 16 expression. This is shown above. Check the result by converting the base 16 expression to decimal:
0xF7 = F × sixteen + 7 × 1= 15 × 16 + 7= 240 + 7 = 24710
The algorithm can be described as:
The digits come out right to left.
Convert 103310 to hex.