Construction of sequential logic mapping between dynamic transactivity and a state transition.

State (expression level) is represented by the two binary numbers, q_1,t+1q_0,t+1. (A) Activation of E and A inputs (E = 1, A = 1) generates the state transition from 01₂ to 10₂. The mapping between the activation of EA sites (Transcriptional activity) and the state transition (Gene expression)) is established by q_1,t+1 = q₁'q₀EA and q_1,t+1 = 0, where minterm (AND logic), q₁'q₀EA is 1 only if q₁ = 0, q₀ = 1, E = 1 and A = 1. (B) The mapping between input (E = 0, A = 1) and the state transition from 11₂ to 10₂ is established by q_1,t+1 = q₁q₀E'A and q_0,t+1 = 0, where minterm q₁q₀E'A is 1 only if q₁ = 1, q₀ = 1, E = 0 and A = 1.