Remapping the 8259 PIC's IRQ0-15 to vectors 32-47 is a mandatory step in every real x86 kernel, because without it hardware interrupts collide with CPU exception vectors 0-31 and a keyboard press could be misread as a divide-by-zero fault. Forgetting to send EOI after handling an interrupt is why a kernel's very first IRQ0 timer tick often silently hangs all future interrupts.