Optical circuits have been introduced as an alternative to electronic circuits as a means of transmitting signals. Both types, optical and electronic, are subject to the phenomenon of signal dispersion especially at light curves when the wavelength is smaller than 0.5 of the wavelength. To achieve this, two hybrid plasmonic routers are used. The first type - abbreviated as (HMIM) - is designed with an insulating core sandwiched between semiconductor layers on both sides and then covered with two layers made of metal. The second hybrid plasmonic router (HIMI) has a metal core sandwiched between semiconductor layers on both sides topped with two more insulating layers. These hybrid routers have been used in five logic gates, namely XNOR, XOR, AND, NOR, OR, and OR. Two wavelengths have also been adopted to ensure that the hybrid routers perform their assigned tasks efficiently. The two wavelengths are 1550 nm and 820 nm. In order to measure the efficiency of each logic gate in the presented waveguides, the contrast ratio was determined to achieve the highest contrast ratio at XOR in the HIMI architecture of 33 dB. As for the issue of logic gate size, the solution was to design logic gates ranging from 1000 nm2 to 8000 nm2, which is much smaller compared to the sizes of existing logic gates.