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Microcode inside the Intel 8087 floating-point chip: register exchange

4 hours ago
  • #Intel 8087
  • #Floating-Point Architecture
  • #Microcode Reverse-Engineering
  • Intel introduced the 8087 floating-point chip in 1980, significantly accelerating floating-point operations.
  • The 8087 established the floating-point standard used in modern processors.
  • It uses microcode to implement complex algorithms for functions like square roots and exponentials.
  • The Opcode Collective is reverse-engineering the 8087's microcode, including the FXCH instruction.
  • FXCH exchanges two floating-point registers and involves 14 micro-instructions, more than expected.
  • The chip's architecture includes a microcode ROM, a datapath for calculations, and stack-based registers with tags.
  • Microcode handles exceptions like invalid operations, with options to interrupt or mask and continue.
  • Extracting microcode involved imaging the ROM and analyzing transistor patterns to decode instructions.
  • Reverse-engineering the 8087's microcode reveals its complex and optimized design for floating-point computations.