The easiest way to figure that out is by using CPU-Z utility which you can download from www.cpuid.com if you are using Windows or by looking at /proc/cpuinfo under if you are using Linux.
If I remember correctly, Q9xxx series are based on Penryn 45nm core so they should support SSE4.1.
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Igor Levicki
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Yes, both SSE4.1 and 4.2 include SSSE3 instructions. However, compilers for SSE4.2 should avoid use of certain SSSE3 instructions, such as PALIGNR, in contexts where they were effective on the first CPUs which supported SSSE3.
I guess some of the architectural changes needed to support SSE4 inherently reduced the dependence on PALIGNR for efficiency.