In this work, we designed a reconfigurable 2  ×  1 temporal multiplexer (MUX) using a 1  ×  1 microring modulator (MRM) configured in silicon on insulator (SOI) platform. To evaluate the performance of the MUX, logical operations such as NOT, OR, AND, NOR, and NAND are demonstrated. The numerical functionality of the device is assessed using the finite-difference beam propagation method (FD-BPM). The 1  ×  1 MRM has a ring radius of 6  μm having a free spectral range (FSR) of 18 to 19 nm. The transmission characteristics and coupling factors of the all-pass and add-drop configuration are analyzed, especially for switching and logical circuit applications. The voltage tuning across the P-i-N junction is achieved by varying the carrier concentration across the intrinsic region, which corresponds to the change in refractive index. Various design parameters are tuned for this configuration, which offers a switching voltage of 0.79 V with modulation speed of 139 GHz. Further, the logical operations of OR, AND, NOR, and NAND with an extinction ratio of 10.25, 11.40, 18.83, and 16.06 dB is reported.