Decimal (base-10) to hexadecimal (base-16) conversion:
Step 1: Divide the decimal number by 16 (16 comes from the base value of hexadecimal number system).
Step 2: The remainder is the LSD (least significant digit) of the hexadecimal number.
Step 3: Divide the quotient from Step 1 by 16 again.
Step 4: The new remainder from Step 3 is the next digit (from right to left) of the hexadecimal number.
Step 5: The process continues until we get 0 as the quotient. The remainder from this step is the MSD (most significant digit) of the hexadecimal number.

#### Example:

Decimal number: 4510
NumeratorDenominatorQuotientRemainder
4516213 (LSD)
21602 (MSD)
We know from [Digital Number Systems - Introduction] that 1310 = D16

Hexadecimal (base-16) to decimal (base-10) conversion:
From right (LSB) to left (MSB) we will take each digit and multiply them by 16x and later add the results together. Here x is the corresponding position of a digit and 16 comes from the base value of hexadecimal number system.