The hybrid modules Top-level Carry Cascade Carry Lookahead Adders (TCCIA) without waiting time sequence was advanced on the basis of analysis delay time formula of hybrid modules TCCIA for purpose of the fullest expanding operand bit of TCCLA under conditions of not raising delay time of TCCLA. The definitions of hybrid modules TCCLA without waiting time sequence and without waiting time complete sequence were given

and the delaytime formula and its a series of important properties were deduced.