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It is easy to prove we do not need
& ~0x7
because the maximum value it can operate on is00001000_00000111_00000110_00000101_00000100_00000011_00000010_00000001 >> 53
. Since the byte under the most significant byte can be a 7 at most, the upper 3 bits of that second byte are always 0. Therefore we do not need to zero them out.