Nowadays the requirements of energy-optimized low power circuits in higher-end applications such as communication, IoT, biomedical systems etc., there are several techniques used to implement energy optimization in low power circuits but the static power dissipation needs to improved such kind of circuits. The conventional topology has been implemented in basic logical gates but the delay and power much higher in each individual cell. Now we proposed an unbalanced pull-up and pull-down network in full adder circuit using symbols. These techniques were employed to reduce the static power dissipation and switching delay in each individual cell. The design was implemented in Cadence virtuoso TMSC 180nm CMOS technology and it’s obtaining the total power dissipation 5.128nW. The pull-up and pull-down network used to reduce the static power dissipation in full adder is used to improve the operating speed of each individual.