Intel and compatable CPU's Programming Information
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3.2 Binary Arithmetic InstructionsThe arithmetic instructions of the 80386 processor simplify the manipulation of numeric data that is encoded in binary. Operations include the standard add, subtract, multiply, and divide as well as increment, decrement, compare, and change sign. Both signed and unsigned binary integers are supported. The binary arithmetic instructions may also be used as one step in the process of performing arithmetic on decimal integers.
Many of the arithmetic instructions operate on both signed and unsigned integers. These instructions update the flags ZF, CF, SF, and OF in such a manner that subsequent instructions can interpret the results of the arithmetic as either signed or unsigned. CF contains information relevant to unsigned integers; SF and OF contain information relevant to signed integers. ZF is relevant to both signed and unsigned integers; ZF is set when all bits of the result are zero.
If the integer is unsigned, CF may be tested after one of these arithmetic operations to determine whether the operation required a carry or borrow of a one-bit in the high-order position of the destination operand. CF is set if a one-bit was carried out of the high-order position (addition instructions ADD, ADC, AAA, and DAA) or if a one-bit was carried (i.e. borrowed) into the high-order bit (subtraction instructions SUB, SBB, AAS, DAS, CMP, and NEG).
If the integer is signed, both SF and OF should be tested. SF always has the same value as the sign bit of the result. The most significant bit (MSB) of a signed integer is the bit next to the -- 6 of a byte, bit 14 of a word, or bit 30 of a doubleword. OF is set in either of these cases:
3.2.1 Addition and Subtraction InstructionsADD (Add Integers) replaces the destination operand with the sum of the source and destination operands. Sets CF if overflow.
ADC (Add Integers with Carry) sums the operands, adds one if CF is set, and replaces the destination operand with the result. If CF is cleared, ADC performs the same operation as the ADD instruction. An ADD followed by multiple ADC instructions can be used to add numbers longer than 32 bits.
SUB (Subtract Integers) subtracts the source operand from the destination operand and replaces the destination operand with the result. If a borrow is required, the CF is set. The operands may be signed or unsigned bytes, words, or doublewords.
SBB (Subtract Integers with Borrow) subtracts the source operand from the destination operand, subtracts 1 if CF is set, and returns the result to the destination operand. If CF is cleared, SBB performs the same operation as SUB. SUB followed by multiple SBB instructions may be used to subtract numbers longer than 32 bits. If CF is cleared, SBB performs the same operation as SUB.
3.2.2 Comparison and Sign Change InstructionCMP (Compare) subtracts the source operand from the destination operand. It updates OF, SF, ZF, AF, PF, and CF but does not alter the source and destination operands. A subsequent Jcc or SETcc instruction can test the appropriate flags.
3.2.3 Multiplication InstructionsThe 80386 has separate multiply instructions for unsigned and signed operands. MUL operates on unsigned numbers, while IMUL operates on signed integers as well as unsigned.
MUL (Unsigned Integer Multiply) performs an unsigned multiplication of the source operand and the accumulator. If the source is a byte, the processor multiplies it by the contents of AL and returns the double-length result to AH and AL. If the source operand is a word, the processor multiplies it by the contents of AX and returns the double-length result to DX and AX. If the source operand is a doubleword, the processor multiplies it by the contents of EAX and returns the 64-bit result in EDX and EAX. MUL sets CF and OF when the upper half of the result is nonzero; otherwise, they are cleared.
Forms 2 and 3 of IMUL may also be used with unsigned operands because, whether the operands are signed or unsigned, the low-order half of the product is the same.
3.2.4 Division InstructionsThe 80386 has separate division instructions for unsigned and signed operands. DIV operates on unsigned numbers, while IDIV operates on signed integers as well as unsigned. In either case, an exception (interrupt zero) occurs if the divisor is zero or if the quotient is too large for AL, AX, or EAX.
DIV (Unsigned Integer Divide) performs an unsigned division of the accumulator by the source operand. The dividend (the accumulator) is twice the size of the divisor (the source operand); the quotient and remainder have the same size as the divisor, as the following table shows.
Size of Source Operand (divisor) Dividend Quotient Remainder Byte AX AL AH Word DX:AX AX DX Doubleword EDX:EAX EAX EDXNon-integral quotients are truncated to integers toward 0. The remainder is always less than the divisor. For unsigned byte division, the largest quotient is 255. For unsigned word division, the largest quotient is 65,535. For unsigned doubleword division the largest quotient is 2^(32) -1.
For signed byte division, the maximum positive quotient is +127, and the minimum negative quotient is -128. For signed word division, the maximum positive quotient is +32,767, and the minimum negative quotient is -32,768. For signed doubleword division the maximum positive quotient is 2^(31) -1, the minimum negative quotient is -2^(31). Non-integral results are truncated towards 0. The remainder always has the same sign as the dividend and is less than the divisor in magnitude.