[Verse 1] Beneath the surface where electrons spin Binary patterns hide the magic thin Each bit a soldier in formation tight Zero or one decides the data's flight Shift them left to multiply by powers Shift them right to cut through digital towers AND gates filtering what survives the test OR gates welcoming both guest and guest [Chorus] Twist and flip, mask and strip Bitwise wizards never slip XOR reveals what's not the same NOT inverts the whole domain Left shift doubles, right divides In the realm where logic hides Manipulation bit by bit Engineering's perfect fit [Verse 2] Masks descend like ghostly filters clean Isolating bits you want to glean Set a flag with OR's embracing arms Clear it out with AND's protective charms Rotation spins the circle round complete No bits vanish in the circular fleet Toggle switches flipping with XOR's might Inverting truth from dark to bright [Chorus] Twist and flip, mask and strip Bitwise wizards never slip XOR reveals what's not the same NOT inverts the whole domain Left shift doubles, right divides In the realm where logic hides Manipulation bit by bit Engineering's perfect fit [Bridge] Complement arithmetic dancing through Two's complement makes negatives true Bit fields packed like suitcases compressed Every digit serving data's quest Count the ones with population tricks Hamming weight reveals the pattern mix [Verse 3] Optimization lives in every byte Barrel shifters spinning left and right Branch-free code when conditions collide Bitwise logic keeps performance wide Cache-friendly algorithms align Power-of-two boundaries so fine Assembly whispers what compilers know Bitwise mastery makes systems flow [Chorus] Twist and flip, mask and strip Bitwise wizards never slip XOR reveals what's not the same NOT inverts the whole domain Left shift doubles, right divides In the realm where logic hides Manipulation bit by bit Engineering's perfect fit [Outro] From silicon valleys to register lanes Bitwise operations break all chains Master the atoms of digital thought Low-level magic that can't be bought
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