SYSTEM includes the number of independent digits used in the number system (the base), the PLACE values of the DIFFERENT digits constituting the number and the maximum numbers that can be WRITTEN with the given number of digits.The Binary Number System: The binary number system with only two independent digits, 0 and 1, is a base-2 number system. All larger binary numbers are represented in terms of ‘0’ and ‘1’.Decimal to Binary Conversion:Step 1: DIVIDE 22 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.22 / 2 = 11 with 0 remainderStep 2: Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.11 / 2 = 5 with 1 remainderStep 3: Repeat Step 2 above until the Whole part is 0.5 / 2 = 2 with 1 remainder2 / 2 = 1 with 0 remainder1 / 2 = 0 with 1 remainderStep 4: Write down the Remainders in reverse order to get the answer to 22 as a binary.When we put the remainders together in reverse order, we get the answer 10110Hence, the binary equivalent of decimal number 22 is 10110NOTE:The decimal number system has a base of 10 as it has 10 independent digits, i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The octal and hexadecimal number systems have a radix (or base) of 8 and 16, respectively.