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

In 1980, Intel introduced the 8087 floating-point chip, a co-processor that made floating-point operations
up to 100 times faster.
This chip was highly influential, and today most processors use the floating-point standard introduced by the 8087.

The 8087 uses complicated algorithms to accurately compute functions such as square roots, tangents, and exponentials.
These algorithms are implemented inside the chip in low-level code called microcode.
I'm part of a group, the Opcode Collective, that is...