Division of Unsigned Numbers in x86

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Questions and Answers

What will be stored in the DX register after performing a division of unsigned numbers with the numerator in AX and the denominator in CL?

  • The carry flag
  • The remainder (correct)
  • The least significant bit
  • The quotient

In a doubleword/word division, where is the most significant word of the numerator stored?

  • In DX (correct)
  • In AH
  • In AX
  • In AL

What occurs if an overflow happens during signed arithmetic operations using the AL register?

  • The result is capped at 255.
  • Both overflow and carry flags are set.
  • AL automatically resets to zero.
  • The result appears as a negative value incorrectly. (correct)

What value allows the AL register to handle unsigned values during arithmetic operations?

<p>255 (A)</p> Signup and view all the answers

Which instruction logically shifts the operand to the right and fills the most significant bit with 0?

<p>SHR (D)</p> Signup and view all the answers

What is the outcome of a logical shift left operation on a binary number?

<p>All bits shift left with the LSB filled with 0 (B)</p> Signup and view all the answers

What maximum quotient can be obtained when performing a division with a byte dividend?

<p>FFH (A)</p> Signup and view all the answers

When performing unsigned multiplication, what register will contain the lower half of the result when multiplying two words?

<p>AX (A)</p> Signup and view all the answers

What condition leads to a Divide Error message during unsigned division?

<p>The denominator is set to zero. (D)</p> Signup and view all the answers

In unsigned multiplication of a byte by a byte, where must one operand be located?

<p>In the AL register. (C)</p> Signup and view all the answers

What is the result location for the operation of word times word multiplication?

<p>Both AX and DX. (C)</p> Signup and view all the answers

What must be true of the AH register before performing a word-by-byte multiplication?

<p>It must be set to zero. (B)</p> Signup and view all the answers

What will be the result locations after performing a byte over byte division?

<p>AL holds the quotient, AH holds the remainder. (B)</p> Signup and view all the answers

What happens if the quotient from an unsigned division operation is too large for the assigned register?

<p>An interrupt is triggered, yielding a Divide Error. (C)</p> Signup and view all the answers

What values do AX and DX contain after performing a word times word multiplication?

<p>AX contains the lower word, DX contains the higher word. (B)</p> Signup and view all the answers

What registers are essential for performing unsigned arithmetic operations in x86 architecture?

<p>AX, AL, AH, DX. (D)</p> Signup and view all the answers

What happens to the carry flag (CF) after a subtraction operation?

<p>It holds borrows instead of carries. (D)</p> Signup and view all the answers

What is the result of the operation 'SUB CH, 44H' when CH starts at 22H?

<p>The result is 0DEH. (A)</p> Signup and view all the answers

When executing an addition loop in assembly as shown, when should the loop terminate?

<p>When the value in CX becomes zero. (C)</p> Signup and view all the answers

Which operation effectively subtracts a memory location's content from a register in assembly language?

<p>SUB (B)</p> Signup and view all the answers

What is a consequence of the instruction 'ADC BX, 0' in the loop shown?

<p>It adds the carry flag to BX. (C)</p> Signup and view all the answers

What is a necessary step for initializing the Data Segment (DS) in the code segment shown?

<p>Move DS with the value of AX. (A)</p> Signup and view all the answers

During multiword addition, what is the purpose of the instruction 'INC SI'?

<p>To point to the next data word. (A)</p> Signup and view all the answers

What does the 'MOV AH, 4CH' instruction signify in the ending part of the code?

<p>It sets up an interrupt to terminate the program. (D)</p> Signup and view all the answers

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Study Notes

Division of Unsigned Numbers

  • Division operations involving unsigned numbers in x86 processors utilize registers AX, AL, AH, and DX.
  • Four distinct division cases exist: byte/byte, word/word, word/byte, doubleword/word.
  • When dividing by zero or when the quotient exceeds the capacity of the assigned register, a "Divide Error" exception occurs, halting the program.

Division Cases

  • Word/Word:
    • Numerator is in AX and DX (most significant word in DX, least significant in AX).
    • Denominator can be in a register or memory location.
    • After division, the quotient is stored in AX, and the remainder in DX.
    • The maximum attainable quotient is FFFFH.
  • Byte/Byte:
    • Numerator is in AL, and AH must be cleared (set to zero).
    • Denominator cannot be immediate but can be in a register or memory.
    • After division, the quotient is stored in AL, and the remainder in AH.

Multiplication of Unsigned Numbers

  • Multiplication operations in x86 processors utilize registers AX, AL, AH, and DX.
  • Three multiplication cases are possible: byte × byte, word × word, and byte × word.

Multiplication Cases

  • Byte × Byte:
    • One operand must be in the AL register, and the second operand can be in a register or memory location.
    • The result is stored in AX after the multiplication.
  • Word × Word:
    • One operand must be in AX, and the second operand can be in a register or memory location.
    • The result is a 32-bit value: AX holds the lower word, and DX holds the higher word.
  • Byte × Word:
    • Similar to word × word but with the byte operand in AL and AH set to zero.

Signed Number Arithmetic Operations: Overflow Problem

  • Signed number arithmetic can lead to overflow if the result goes beyond the capacity of the register.
  • An 8-bit overflow occurs when the signed result is greater than 127 or less than -128.
  • Despite overflow, the result is a correct 8-bit signed number.

Logic Instructions: Shift Right (SHR)

  • Logical shift right shifts the operand right bit by bit, filling the MSB with 0.
  • The LSB is moved to the carry flag (CF) during each shift.

Logic Instructions: Shift Left (SHL)

  • Logical shift left is the opposite of SHR, shifting the operand left.
  • The LSB is filled with 0, and the MSB is moved to CF, similar to SHR.

Subtraction

  • The SUB instruction subtracts the second operand from the first operand and stores the difference in the first operand.
  • Examples:
    • SUB CL,BL CL = CL – BL
    • SUB AX,SP AX = AX – SP
    • SUB DI,TEMP[SI] DI = DI - TEMP[SI]

Flags After Subtraction

  • The carry flag (C) and the auxiliary carry flag (A) hold borrow values instead of carries after subtraction.
  • This reflects the potential for borrowing during a subtraction operation.

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