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The heart of the system is the SM5420 pressure sensor, by Silicon Microstructures. It is a micromachined structure molded in an 8-pin SOIC plastic package. Here is the datasheet. Per the manufacturer, "The SM5420C is a small outline SO-8 packaged pressure sensor. The sensor uses SMI’s SM5108C micromachined, piezoresistive pressure sensing chip that has been optimized to provide the highest possible accuracy for a package of this size. This performance is achieved through careful resistor placement and mechanical configuration along with advanced MEMS processing."
The SM5420 is fundamentally a resistive bridge structure similar to the familiar Whetstone Bridge, as shown to the left. So, in order for the How High™ to measure altitude, it must obtain and store a reference value when the device is first powered on. Then, an analog-to-digital converter feeds a custom programmed IC to store the highest level recorded and display its content using a series of light pulses from an LED. A stable voltage reference source helps ensure accuracy.
In the upper left corner of the PCA (printed circuit assembly) is a PIC12F683 8-bit microcontroller by Microchip Technologies. Here is the datasheet. Since I do not see anything resembling a crystal, I assume a resistor + capacitor is used for the clock generation. The datasheet allows for such a scheme (see page 23). The PIC12F683 also contains an analog-to-digital converter (ADC) and voltage comparator, but there is a separate, more precise IC used for that - the Linear Technology LTC2480. The designer(s) at Winged Shadow Systems burns a custom program into the PIC12F683 that performs all the nifty steps necessary to determine the maximum altitude and to report the number to you, and even detects the wagging of your finer in front of the LED to activate the report mode. A diode's transconductance is affected by visible light impinging on its surface, so it is possible to use it as a light level detector when housed in a transparent package, so it acts both as an LED for reporting, and as a detector for initiating the report (very clever idea, I might add).
The Linear Technology LTC2480 (in the center of the PCA) is a 16-Bit ΔΣ analog-to-digital converter (ADC) in a 10-pin MSOP package (LBJY is the identifying marking on the package). Here is the datasheet. The printed circuit board traces run from the SM5420 to Pin 4 and Pin 5, which are the Vin ports. The 4-wire SPI interface connects to the PIC12F683 controller.