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I have a 4TB hard drive which I ran the badblocks utility without passing in the -b block-size parameter. So I'm pretty sure it defaulted it to 1024, and my 4TB drive/filesystem is most likely setup with a block size of 4096. Is there a way I can translate the results to match the 4096 block size? For example, if the bad block is #5 with block-size=1024, it would map to block #2 with block-size=4096. Is that a valid conversion from 1024 to 4096?

If so, then I can re-run badblocks and specify a start and end range which will save me a lot of time.

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You are correct that the default block size for badblocks is 1024. From the documentation:

-b block_size
   Specify the size of blocks in bytes. The default is 1024.

Your math is also correct. If you are using Ext4 with a default configuration, then your partitions are using 4KB blocks. So, if the 777th block had an error found, you can round down:

Floor((777 * 1024) / 4096) = 192

∴ Block 192

For the sake of completeness, you can probably round down further to 190 when specifying a range:

sudo badblocks -sb 4096 /dev/sdb1 200 190
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