Abstract: The hybrid modules Top-level Carry Cascade Carry Lookahead Adders (TC²CIA) without waiting time sequence was advanced on the basis of analysis delay time formula of hybrid modules TC²CIA for purpose of the fullest expanding operand bit of TC²CLA under conditions of not raising delay time of TC²CLA. The definitions of hybrid modules TC²CLA without waiting time sequence and without waiting time complete sequence were given, and the delaytime formula and it's a series of important properties were deduced.