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** Population count {{code|popcnt}}
** Bit extract/bit deposit {{code|pext}}/{{code|pdep}}
** Bit test {{code|PTEST}} given two inputs does a {{code|AND}} and{{code|ANDN}} operation between them, and sets two separate CPU branch registers on
* The [[AVX-512#Bitwise ternary logic|AVX-512 ternary]] extension includes a [[Bitwise ternary logic instruction]], {{code|vpternlog}}. Also noteworthy is a conflict detection instruction. [[AVX-512#Conflict detection|<code>VPCONFLICTD</code>]]
* Also present in the AVX/[[AVX-512]] [[GFNI instruction set|GFNI subset]] is bit-matrix affine transformation and its inverse: {{code|GF2P8AFFINEQB}} is effectively an 8x8 bit-matrix multiply in the [[Galois field]] GF(2^8).<ref>{{cite web | title=GF2P8AFFINEQB — Galois Field Affine Transformation | url=https://www.felixcloutier.com/x86/gf2p8affineqb }}</ref>
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