What does the symbol $<\!\!<\!\!<$ mean? It is normally followed by a number. An example: here

It would be appreciated if you could explain it in fairly basic terms.


1 Answer 1


$$x<\!\!<\!\!<k$$ normally means cyclic rotation of a bit string $x$ to the left by $k$ bits.

  • 2
    $\begingroup$ Small side notes with regards to programming: 1) >>> in Java means shift right without sign extension (Java only has signed numbers, so the first bit is the sign). It's not rotation for that language. Other languages may have similar issues, check your operator 2) If you have a register / variable $x$ with $n$ bits then rotating left $k$ bits is the same as rotating right $n - k$ bits. And usually you can also rotate left $y \cdot n + k$ bits of course (if you rotate $n$ bits $n$ places then you're back where you started from) . $\endgroup$
    – Maarten Bodewes
    Feb 18, 2017 at 22:32

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.