How to compute Smaller checksum for executable ranging from 4 to 6 bytes?

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I have a executable of C++ Qt project and I want to assign a checksum to it for documentation purpose so that I add can details like

Software Version : 1.5

Checksum : 0xBd3429A

The checksum should change whenever i update my project like add new code or remove bugs or add files or remove files.

I know about md5 and sha1 and other standard hash algorithms which i can run commands and calculate the checksum but what i am looking for is smaller hashes like 4 to 6 bytes at most. Any help would be deeply appreciated.

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