Counter circuit, AD conversion method, AD converter, semiconductor device for detecting distribution of physical quantities, and electronic apparatus

An asynchronous counter that is capable of switching count mode includes flip-flops, and three-input single-output tri-value switches respectively provided between the adjacent pairs of the flip-flops. The tri-value switches switch among three values, namely, non-inverting outputs and inverting outputs of the flip-flops and a power supply level. Each of the tri-value switches switch among the three input signals according to two-bit control signals, and input a selected signal to a clock terminal of a subsequent flip-flop. When count mode is switched according to the control signals, a count value immediately before the mode switching is set as an initial value, and counting after the mode switching is started from the initial value.