A circuit system includes a first integrated circuit die having a first group of circuits configured to perform a first set of operations. The circuit system also includes a second integrated circuit die having a second group of circuits configured to start performing a second set of operations with a delay after the first group of circuits starts performing the first set of operations to reduce power supply voltage droop. The operations performed by the first and second groups of circuits can be interleaved with a fixed or a variable delay. Logic circuits can be partitioned into the first and the second groups of circuits based on predicted switching activity of the logic circuits. Decoupling capacitors in integrated circuit dies can be coupled together to reduce droop in a supply voltage during a high current event.