How can fixed-point scaling overflow even when an MSPM0 sensor value is valid?

Write down the range and units of every intermediate expression. The final result may fit while a product formed earlier does not. Make the intended widening explicit before multiplication; assigning an already-overflowed narrow result to a wider variable cannot recover the original value.

For example, 50,000 × 50,000 is 2,500,000,000, which exceeds the positive range of a signed 32-bit integer. Determine whether the algorithm needs wider intermediates, different scaling or saturation. Signed overflow in C must not be treated as a predictable wraparound operation.

Compare boundary cases and representative data against a higher-precision reference. Include negative values, rounding and saturation behavior. TI's fixed-point library can provide useful operations, but the application still has to choose a format with enough integer range and fractional resolution.