The effect of finite wordlength on coefficients in implementing discrete-time controllers has been a subject of many recent studies. Especially, this issue is more severe in the low budget consumer electronic products when a faster sample rate is desired. To save the cost of development, most of the manufacturers applied cheap processors on those kinds of products. Therefore, it is desired to develop an estimation method to predict the required wordlength while designing a controller. In this paper, we will focus our study on the controller synthesis for an inkjet printing mechanism and investigate the effect insufficient wordlength. We will also develop an algorithm to estimate the required resolution and apply the method to determine the required bits of wordlength for the controller designed.