Programmable logic circuitry includes level-sensitive latches as at least some of the data storage elements. At least some of the latches are enabled by one phase of a clock signal, and at least some others of the latches are enabled by the other phase of the clock signal. Accordingly, these latches collectively have two-phase operation. These two-phase latches may replace at least some single-phase, edge-triggered flip-flops in a user's logic design, and may thereby increase the speed at which the user's logic can be operated. Methods for converting a single-phase, edge-triggered flip-flop design to a logically equivalent design using at least some two-phase latches are disclosed.