Decimal Adjust
Instruction | DA A |
---|---|
Function | Decimal-adjust Accumulator for Addition |
Bytes | 1 |
Cycles | 1 |
Encoding | 1 1 0 1 0 1 0 0 |
Operation | IF (A_{3-0} > 9) OR (AC = 1) A = A + 6 IF (A_{7-4} > 9) OR (C = 1) A = A + 60h |
Description | DA A adjusts the eight-bit value in the Accumulator resulting from the earlier addition of two variables (each in packed-BCD format), producing two four-bit digits. Any ADD or ADDC instruction may have been used to perform the addition. If Accumulator bits 3 through 0 are greater than nine (xxxx1010-xxxx1111), or if the AC flag is one, six is added to the Accumulator producing the proper BCD digit in the low-order nibble. This internal addition sets the carry flag if a carry-out of the low-order four-bit field propagates through all high-order bits, but it does not clear the carry flag otherwise. If the carry flag is now set, or if the four high-order bits now exceed nine (1010xxxx-1111xxxx), these high-order bits are incremented by six, producing the proper BCD digit in the high-order nibble. Again, this sets the carry flag if there is a carry-out of the high-order bits, but does not clear the carry. The carry flag thus indicates if the sum of the original two BCD variables is greater than 100, allowing multiple precision decimal addition. OV is not affected. All of this occurs during the one instruction cycle. Essentially, this instruction performs the decimal conversion by adding 00H, 06H, 60H, or 66H to the Accumulator, depending on initial Accumulator and PSW conditions. Note: DA A cannot simply convert a hexadecimal number in the Accumulator to BCD notation, nor does DAA apply to decimal subtraction. |
Flags Affected | C AC F0 RS1 RS0 OV P |
Example | The Accumulator holds the value 56H (01010110B), representing the packed BCD digits of the decimal number 56. Register 3 contains the value 67H (01100111B), representing the packed BCD digits of the decimal number 67. The carry flag is set. The following instruction sequence ADDC A,R3 DA A first performs a standard two’s-complement binary addition, resulting in the value 0BEH (10111110) in the Accumulator. The carry and auxiliary carry flags are cleared. The Decimal Adjust instruction then alters the Accumulator to the value 24H (00100100B), indicating the packed BCD digits of the decimal number 24, the low-order two digits of the decimal sum of 56, 67, and the carry-in. The carry flag is set by the Decimal Adjust instruction, indicating that a decimal overflow occurred. The true sum of 56, 67, and 1 is 124. BCD variables can be incremented or decremented by adding 01H or 99H. If the Accumulator initially holds 30H (representing the digits of 30 decimal), then the following instruction sequence, ADD A, # 99H DA A leaves the carry set and 29H in the Accumulator, since 30 + 99 = 129. The low-order byte of the sum can be interpreted to mean 30 - 1 = 29. |
Bytes: Number of bytes required to encode the instruction. Cycles: Number of instruction cycles required to execute the instruction. Note that there are 12 oscillator cycles to one instruction cycle on a standard 8051. Encoding: Lists the byte encoding for the instruction. Operation: Lists, step-by-step, the operations performed by the instruction. Flags Affected: are highlighted in Bold |
Related topics:
8051 Arithmetic Operation Instructions | 8051 ADD Instruction | 8051 ADDC Instruction | 8051 SUBB Instruction | 8051 INC Instruction | 8051 DEC Instruction | 8051 MUL Instruction | 8051 DIV Instruction
List of topics: 8051
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