Integer Arithmetic

 The basic four integer arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic operations can be signed or unsigned (unsigned is useful for effective address computations). Some older processors don’t include hardware multiplication and division. Some processors don’t include actual multiplication or division hardware, instead looking up the answer in a massive table of results embedded in the processor.

 A specialised, but common, form of addition is an increment instruction, which adds one to the contents of a register or memory location. For address computations, “increment” may mean the addition of a constant other than one. Some processors have “short” or “quick” addition instructions that extend increment to include a small range of positive values.

 A specialised, but common, form of subtraction is an decrement instruction, which subtracts one from the contents of a register or memory location. For address computations, “decrement” may mean the subtraction of a constant other than one. Some processors have “short” or “quick” subtraction instructions that extend decrement to include a small range of values.

 Compare instructions are used to examine one or more integers non-destructively. These are usually implemented by performing a subtraction in some shadow register or accumulator and then setting flags accordingly. Compare instructions can compare two integers, or can compare a single integer to zero. Triadic compare instructions compare a test value to an upper and lower limit, which can be useful for bounds and range checking.

Some processors have specific hardware support for large multi-byte integer arithmetic. Even if there is no specific support, generally carry and borrow flags can be used to implement software multi-byte arithmetic routines.

  Some processors have other special integer arithmetic operations. A clear instruction sets a register or memory location to zero. Some processors have special instructions for setting a register to a special value (such as pi) with additional guard bits also being set appropriately. A sign extend operation takes a small value and sign extends it to a larger storage format (such as byte to word). An arithmetic complement gives the arithmetic complement of a number (one’s complement). An arithmetic negate gives the arithmetic inverse of a number (subtract from zero; two’s complement).