A current measurement circuit may use a probabilistic technique to determine a current from a circuit block. In one embodiment, the circuit includes a comparator circuit, a first current sensing element (such as a first resistor), and a control circuit. The first current sensing element is coupled to the comparator circuit to establish a first comparator input signal representative of the current at an input of the comparator circuit. The control circuit is coupled to the comparator circuit to obtain a first plurality of comparator output decisions corresponding to the first current sensing element for a specified count, determine a first proportion of comparator output decisions meeting a specified criterion, and determine a voltage value of the first comparator input signal from the first proportion. The control circuit is configured to determine a current value using the voltage value of the first comparator input signal and an impedance value of the first current sensing element. The current measurement circuit is relatively low-cost and easy to implement, without requiring a precision reference voltage, current, and/or high-cost analog-to-digital converters (ADCs).