A decimal number can be easily converted to any other integer using the method of repeated division.

Repeated Division

• Divide the decimal number by the desired base. Write down the integer quotient and keep the remainder.
• Convert the remainder to its equivalent in the new base (0-9 for bases 2-10, then A-F, etc. for higher bases).
• Repeat steps 1 and 2 with the quotient, treating it as a new decimal number. Stop when the quotient becomes 0.
• Read the remainders in reverse order. This will be your number in the new base.

Example1: Convert 255 to base 8 (octal).

• 255 ÷ 8 = 31, remainder 7
• 31 ÷ 8 = 3, remainder 7
• 3 ÷ 8 = 0, remainder 3

Therefore, 255 in octal is 377.

Example2: Convert 255 to hexadecimal.

• 255 ÷ 16 = 15, remainder 15 (F)
• 15 ÷ 16 = 0, remainder 15 (F)

Therefore, 255 in hexadecimal is FF.