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Quater-imaginary base
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===Example: Imaginary number=== Finding a quater-imaginary representation of a purely imaginary integer number {{math|β ''i'''''Z'''}} is analogous to the method described above for a real number. For example, to find the representation of 6''i'', it is possible to use the general formula. Then all coefficients of the real part have to be zero and the complex part should make 6. However, for 6''i'' it is easily seen by looking at the formula that if ''d<sub>1</sub>'' = 3 and all other coefficients are zero, we get the desired string for 6''i''. That is: :<math>\begin{align}6i_{10} = 30_{2i}\end{align}</math>
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