Editing Quater-imaginary base (section)

==Multiplication==
For [[long multiplication]] in the quater-imaginary system, the two rules stated above are used as well. When multiplying numbers, multiply the first string by each digit in the second string consecutively and add the resulting strings. With every multiplication, a digit in the second string is multiplied with the first string. The multiplication starts with the rightmost digit in the second string and then moves leftward by one digit, multiplying each digit with the first string.
Then the resulting partial products are added where each is shifted to the left by one digit. An example:

<pre>
              11201
              20121  ×
        ---------------
              11201      ←––– 1 × 11201
             12002       ←––– 2 × 11201
            11201        ←––– 1 × 11201
           00000         ←––– 0 × 11201
          12002      +   ←––– 2 × 11201
        ---------------
          120231321
</pre>

This corresponds to a multiplication of <math>(9-8i)\cdot(29+4i) = 293-196i</math>.