Bcd Commands ~upd~ -

The 8051 has a DA (Decimal Adjust) instruction that operates on the accumulator after addition.

| Command | Effect in Decimal Mode | |---------|------------------------| | | Set Decimal Mode (D=1) | | CLD | Clear Decimal Mode (D=0, back to binary) | | ADC | Adds with carry in BCD | | SBC | Subtracts with borrow in BCD |

mov ax, 0x0405 ; unpacked 45 (AH=04, AL=05) add al, 0x03 ; add unpacked 3 → AL=08 aaa ; adjusts if AL>9, increments AH The 6502 has no dedicated BCD arithmetic instructions, but it includes a Decimal Mode flag (D flag in status register). When set, all ADC and SBC instructions automatically perform BCD arithmetic. bcd commands

mov ax, dx shr ax, 8 ; high byte of BCD1 mov dx, bx shr dx, 8 ; high byte of BCD2 add al, dl daa mov dl, al mov al, ah adc al, dh daa mov dh, al

uint8_t bcd_add(uint8_t a, uint8_t b) uint16_t sum = (a & 0x0F) + (b & 0x0F) + (((a >> 4) + (b >> 4)) << 4); if ((sum & 0x0F) >= 10) sum += 6; if ((sum >> 4) >= 10) sum += 0x60; return (uint8_t)sum; The 8051 has a DA (Decimal Adjust) instruction

seconds = rtc_read(0x00); // BCD 0x45 = 45 sec // Convert to binary for computation: bin_sec = ((seconds >> 4) * 10) + (seconds & 0x0F); Multiplexed displays often receive BCD directly from a 74LS47 decoder. Processor outputs BCD values to port. 5.3 Financial/Cash Registers Currency amounts must be exact to the cent. BCD arithmetic prevents floating-point errors:

| Instruction | Description | Operands | |-------------|-------------|----------| | | Decimal Adjust AL after Addition (packed BCD) | implicit (AL) | | DAS | Decimal Adjust AL after Subtraction (packed BCD) | implicit (AL) | | AAA | ASCII Adjust after Addition (unpacked BCD) | implicit (AL, AH) | | AAS | ASCII Adjust after Subtraction (unpacked BCD) | implicit (AL, AH) | | AAM | ASCII Adjust after Multiply (unpacked) | implicit (AX) | | AAD | ASCII Adjust before Division (unpacked) | implicit (AX) | mov ax, dx shr ax, 8 ; high

mov al, 0x45 ; BCD 45 add al, 0x27 ; BCD 27 → binary result 0x6C daa ; adjusts to 0x72 (BCD 72)