Methods for making electronic devices with small functional elements supported on a carrier are presented. One method of making an electronic assembly is by first providing the following: a web of flexible material having a plurality of recesses, where each of the recesses containing an RFID chip, a flexible substrate having antennas, straps from the web by a web process, where each of the straps includes at least one RFID chip and a portion of the flexible material. The electronic assembly is formed by attaching the straps to the antennas so that each of the straps is coupled to one of the antennas and the density of the RFID chips on the web is higher than a density of the antennas on the flexible substrate. Other methods of making electronic devices with small functional elements supported on a carrier are disclosed.