Article | REF: H1210 V1

Coding numbers in computers

Author: Daniel ETIEMBLE

Publication date: November 10, 2023

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4. Division of signed integers

They divide a 2n-bit integer by an n-bit integer to provide quotient and remainder (n-bit integers).

Different approaches are used for instruction sets:

  • the IDIV instruction (IA-32 and Intel 64) divides 2n-bit numbers (16, 32, 64) by n-bit numbers (8, 16, 32) and provides the result of the division and the n-bit remainder in two different registers;

  • RISC-V's M extension features signed division (DIV) and signed remainder (REM) instructions with dividend, divisor, result and remainder on 32 bits.

4.1 Integers in sign and absolute value

Using the example in figure

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Division of signed integers