Motorola 68000

(CLCC) package) (PLCC) package) 6800 Motorola's first widely produced microprocessor was the 6800, introduced in early 1974 and available in quantity late that year. The company set itself the goal of selling 25,000 units by September 1976, a goal they did meet. Although a capable design, it was eclipsed by more powerful designs, such as the Zilog Z80, and less expensive designs, such as the MOS Technology 6502. By late 1976 sales were stagnant and the division was saved by a project for General Motors engine control and other tasks. Moving to 16-bit By the time the 6800 was introduced, a small number of 16-bit designs had come to market. These were generally modeled on minicomputer platforms like the Data General Nova or PDP-11. Based on the semiconductor manufacturing processes of the era, these were often multi-chip solutions like the National Semiconductor IMP-16, or the single-chip PACE that had issues with speed. With the sales prospects for the 6800 dimming, but still cash-flush from the engine control sales, in late 1976 Colin Crook, Operations Manager, began considering how to successfully win future sales. They were aware that Intel was working on a 16-bit extension of their 8080 series, which would emerge as the Intel 8086, and had heard rumors of a 16-bit Zilog Z80, which became the Z8000. These would use new design techniques that would eliminate the problems seen in earlier 16-bit systems. Motorola knew that if they launched a product similar to the 8086, within 10% of its capabilities, Intel would outperform them in the market. In order to compete, they set themselves the goal of being two times as powerful at the same cost, or one-half the cost with the same performance. Crook decided that they would attack the high-end of the market with the most powerful processor on the market. Another 16-bit would not do, their design would have to be bigger, and that meant having some 32-bit features. Crook had decided on this approach by the end of 1976. MACSS Crook formed the Motorola Advanced Computer System on Silicon (MACSS) project to build the design and hired Tom Gunter to be its principal architect. Gunter began forming his team in January 1977. The performance goal was set at 1 million instructions per second (MIPS). They wanted the design to not only win back microcomputer vendors like Apple Computer and Tandy, but also minicomputer companies like NCR and AT&T. The team decided to abandon an attempt at backward compatibility with the 6800, as they felt the 8-bit designs were too limited to be the basis for new designs. The new system was influenced by the PDP-11, the most popular minicomputer design of the era. At the time, a key concept in minis was the concept of an orthogonal instruction set, in which every operation was allowed to work on any sort of data, and the PDP-11 was considered the canonical example of this concept. This resulted in many different instructions, which were minor variations that changed where the data came from. To feed the correct data into the internal units, MACSS made extensive use of microcode, essentially small programs in read only memory that gathered up the required data, performed the operations, and then wrote out the results. This was common in mainframes and minis, but MACSS would be among the first to use this technique in a microprocessor. There was a large amount of support hardware for the 6800 that would remain useful, things like UARTs and similar interfacing systems. For this reason, the new design retained a bus protocol compatibility mode for existing 6800 peripheral devices. Indeed, Gunter's own 1979 article introducing the 68000 highlighted it as a silicon-gate depletion-mode HMOS design. Whatever the degree of Motorola's process and manufacturing deficits in the early days, the team was undeterred and would not compromise in its pursuit of a microprocessor with industry-leading performance. Sampling and production Formally introduced in September 1979, initial samples were released in February 1980, with production chips available over the counter in November. Initial speed grades were 4, 6, and 8 MHz. 10 MHz chips became available during 1981, and 12.5 MHz chips by June 1982. The KDM board came with socketed ROM chips that contained Motorola's new MacsBug debugger. A switch on the KDM board activated the debugger. MacsBug was later used in Apple's early Macintosh computers. Apple adoption By the start of 1981, the 68k was winning orders in the high end, and Gunter began to approach Apple to win their business. At that time, the 68k sold for about $125 in quantity. In meetings with Steve Jobs, Jobs talked about using the 68k in the Apple Lisa, but stated "the real future is in this product that I'm personally doing. If you want this business, you got to commit that you'll sell it for $15." Motorola countered by offering to sell it at $55 at first, then step down to $35, and so on. Jobs agreed, and the Macintosh moved from the 6809 to the 68k. The average price eventually reached $14.76. According to Apple, The First 50 Years, Jobs reportedly slid a clone chip being prepared by Hitachi to Motorola CEO Robert Galvin on a piece of sushi in order to negotiate. ==Variants==

In 1982, the 68000 received a minor update to its instruction set architecture (ISA) to support virtual memory and to conform to the Popek and Goldberg virtualization requirements. The updated chip is called the 68010. It also adds a new "loop mode" which speeds up small loops, and increases overall performance by about 10% at the same clock speeds. A further extended version, which exposes 31 bits of the address bus, was also produced in small quantities as the 68012. To support lower-cost systems and control applications with smaller memory sizes, Motorola introduced the 8-bit compatible 68008, also in 1982. This is a 68000 with an 8-bit data bus and a smaller (20-bit) address bus. After 1982, Motorola devoted more attention to the 68020 and 88000 projects. Second-sourcing HD68000 Several other companies were second-source manufacturers of the HMOS 68000. These included Hitachi (HD68000), who shrank the feature size to 2.7 μm for their 12.5 MHz version, CMOS versions The 68HC000, the first CMOS version of the 68000, was designed by Hitachi and jointly introduced in 1985. Motorola offered it as the MC68HC000 while Hitachi offered it as the HD68HC000. The 68HC000 offers speeds of 8–20 MHz. Aside from using CMOS circuitry, it behaved identically to the HMOS 68000, but the change to CMOS greatly reduced its power consumption. The original HMOS 68000 consumed around 1.35 watts at an ambient temperature of 25 °C, regardless of clock speed, while the 68HC000 consumed only 0.13 watts at 8 MHz and 0.38 watts at 20 MHz. (Unlike CMOS circuits, HMOS still draws power when idle, so power consumption varies little with clock rate.) Apple selected the 68HC000 for use in the Macintosh Portable and PowerBook 100. Motorola replaced the 68008 with the 68HC001 in 1990. It resembles the 68HC000 in most respects, but its data bus can operate in either 16-bit or 8-bit mode, depending on the value of an input pin at reset. Thus, like the 68008, it can be used in systems with cheaper 8-bit memories. The later evolution of the 68000 focused on more modern embedded control applications and on-chip peripherals. The 68EC000 chip and SCM68000 core removed the M6800 peripheral bus, as well as excluding the MOVE from SR instruction from user mode programs, making the 68EC000 and 68SEC000 the only 68000 CPUs not 100% object code compatible with previous 68000 CPUs when run in User Mode. When run in Supervisor Mode, there is no difference. The latter method was done so that the 68EC000 and SCM68000 can meet Popek and Goldberg virtualization requirements, and was also later implemented into its successor, the 68010. In 1996, Motorola updated the standalone core with fully static circuitry, drawing only 2 μW in low-power mode; this became known as the 68SEC000. Motorola ceased production of the HMOS 68000 as well as the 68008, 68010, 68330, and 68340 on June 1, 1996, but its spin-off company Freescale Semiconductor (merged with NXP) was still producing the 68HC000, 68HC001, 68EC000 and 68SEC000, as well as the 68302 and 68306 microcontrollers and later versions of the DragonBall family. The 68000's architectural descendants, the 680x0, CPU32, and Coldfire families, were also still in production. More recently, with the Sendai fab closure in 2010, all 68HC000, 68020, 68030 and 68882 parts have been discontinued, leaving only the 68SEC000 in production until it too was discontinued. leaving only the 68331 and 68332 as the remaining members of the 683xx family in production. In 2024, Rochester Electronics was given a license by NXP to continue producing the 68HC000 alongside other members of the 68000 family; both the physical design and test programs were transferred from NXP to Rochester in order to continue providing an authorized source to the market. The 68HC000 processors provided by Rochester Electronics uses a clone of the J82M mask set manufactured by Tohoku Semiconductor Corporation (TSC) in Japan at the TSC6 wafer fab, which was the last mask set used by Motorola for the 68HC000 to replace the previous E72N and G73K mask sets manufactured in the United States. As a microcontroller core Since being succeeded by "true" 32-bit microprocessors, the 68000 is used as the core of many microcontrollers. In 1989, Motorola introduced the 68302 communications processor. This processor was formerly supplied by Freescale and NXP after Motorola spun off its semiconductor business in 2004. ==Applications==

IBM considered the 68000 for the IBM PC but chose the Intel 8088; however, IBM Instruments briefly sold the 68000-based IBM System 9000 laboratory computer systems. The 68k instruction set is particularly well suited to implement Unix, and the 68000 and its successors became the dominant CPUs for Unix-based workstations including Sun workstations and Apollo/Domain workstations. In 1981, Motorola introduced the Motorola 68000 Educational Computer Board, a single-board computer for educational and training purposes which in addition to the 68000 itself contained memory, I/O devices, programmable timer and wire-wrap area for custom circuitry. The board remained in use in US colleges as a tool for learning assembly programming until the early 1990s. At its introduction, the 68000 was first used in high-priced systems, including multiuser microcomputers like the WICAT 150, early Alpha Microsystems computers, Sage II / IV, Tandy 6000 / TRS-80 Model 16, and Fortune 32:16; single-user workstations such as Hewlett-Packard's HP 9000 Series 200 systems, the first Apollo/Domain systems, Sun Microsystems' Sun-1, and the Corvus Concept; and graphics terminals like Digital Equipment Corporation's VAXstation 100 and Silicon Graphics' IRIS 1000 and 1200. Unix systems rapidly moved to the more capable later generations of the 68k line, which remained popular in that market throughout the 1980s. By the mid-1980s, falling production cost made the 68000 viable for use in personal computers starting with the Apple Lisa and Macintosh, and followed by the Amiga, Atari ST, and X68000. The Sinclair QL microcomputer, along with its derivatives, such as the ICL One Per Desk business terminal, was the most commercially important utilisation of the 68008. Helix Systems (in Missouri, United States) designed an extension to the SWTPC SS-50 bus, the SS-64, and produced systems built around the 68008 processor. 68000 and 68008 second processors were released for the BBC Micro in 1984 and 1985 respectively, and according to Steve Furber contributed to Acorn developing the ARM. While the adoption of RISC and x86 displaced the 68000 series as desktop/workstation CPU, the processor found substantial use in embedded applications. By the early 1990s, quantities of 68000 CPUs could be purchased for less than 30 USD per part. The 68000 also saw great success as an embedded controller. As early as 1981, laser printers such as the Imagen Imprint-10 were controlled by external boards equipped with the 68000. The first HP LaserJet, introduced in 1984, came with a built-in 8 MHz 68000. Other printer manufacturers adopted the 68000, including Apple with its introduction of the LaserWriter in 1985, the first PostScript laser printer. The 68000 continued to be widely used in printers throughout the rest of the 1980s, persisting well into the 1990s in low-end printers. The 68000 was successful in the field of industrial control systems. Among the systems benefited from having a 68000 or derivative as their microprocessor were families of programmable logic controllers (PLCs) manufactured by Allen-Bradley, Texas Instruments and subsequently, following the acquisition of that division of TI, by Siemens. Users of such systems do not accept product obsolescence at the same rate as domestic users, and it is entirely likely that despite having been installed over 20 years ago, many 68000-based controllers will continue in reliable service well into the 21st century. In a number of digital oscilloscopes from the 80s, the 68000 has been used as a waveform display processor; some models including the LeCroy 9400/9400A also use the 68000 as a waveform math processor (including addition, subtraction, multiplication, and division of two waveforms/references/waveform memories), and some digital oscilloscopes using the 68000 (including the 9400/9400A) can also perform fast Fourier transform functions on a waveform. The 683XX microcontrollers, based on the 68000 architecture, are used in networking and telecom equipment, television set-top boxes, laboratory and medical instruments, and even handheld calculators. The MC68302 and its derivatives have been used in many telecom products from Cisco, 3com, Ascend, Marconi, Cyclades and others. Past models of the Palm PDAs and the Handspring Visor used the DragonBall, a derivative of the 68000. AlphaSmart used the DragonBall family in later versions of its portable word processors. Texas Instruments used the 68000 in its high-end graphing calculators, the TI-89 and TI-92 series and Voyage 200. A modified version of the 68000 formed the basis of the IBM XT/370 hardware emulator of the System 370 processor. Video games Video game manufacturers used the 68000 as the backbone of many arcade games and home game consoles, and even a handheld. Arcade Atari's Food Fight, from 1983, was one of the first 68000-based arcade games. Others included arcade game platforms such as Sega's System 16, Capcom's CP System and CP System II, as well as SNK's Neo Geo of the early 1990s, which also had a home console version. Certain arcade games (such as Steel Gunner and others based on Namco System 2) use a dual 68000 CPU configuration, and systems with a triple 68000 CPU configuration also exist (such as Galaxy Force and others based on the Sega Y Board), along with a quad 68000 CPU configuration, which has been used by Jaleco (one 68000 for sound has a lower clock rate compared to the other 68000 CPUs) for games such as Big Run and Cisco Heat; another, fifth 68000 (at a different clock rate than the other 68000 CPUs) was used in the Jaleco arcade game Wild Pilot for input/output (I/O) processing. Home By the late 1980s, the 68000 was inexpensive enough to power home game consoles, such as Sega's Genesis console, and also the Sega CD attachment for it (a Sega CD system has three CPUs, two of them 68000s). The 68000 is also used as the main CPU of Sega's Pico, a young children's educational game console. The multi-processor Atari Jaguar console from 1993 used the 68000 as a support chip, however, due to familiarity, some developers used it as the primary processor. Sega's Saturn console from 1994 used the 68000 as a sound co-processor. Handheld In October 1995, the 68000 made it into Sega's Genesis Nomad, a handheld game console, as its CPU. ==Architecture==

Address bus The 68000 has a 24-bit external address bus and two byte-select signals "replaced" A0. These 24 lines can therefore address 16 MB of physical memory with byte resolution. Address storage and computation uses 32 bits internally; however, the 8 high-order address bits are ignored due to the physical lack of device pins. This allows it to run software written for a logically flat 32-bit address space, while accessing only a 24-bit physical address space. Motorola's intent with the internal 32-bit address space was forward compatibility, making it feasible to write 68000 software that would take full advantage of later 32-bit implementations of the 68000 instruction set. Instruction set The designers attempted to make the assembly language orthogonal. That is, instructions are divided into operations and address modes, and almost all address modes are available for almost all instructions. There are 56 instructions and a minimum instruction size of 16 bits. Many instructions and addressing modes are longer to include more address or mode bits. Privilege levels The CPU, and later the whole family, implements two levels of privilege. User mode gives access to everything except privileged instructions such as interrupt level controls. Supervisor privilege gives access to everything. An interrupt always becomes supervisory. The supervisor bit is stored in the status register, and is visible to user programs. An advantage of this system is that the supervisor level has a separate stack pointer. This permits a multitasking system to use very small stacks for tasks, because the designers do not have to allocate the memory required to hold the stack frames of a maximum stack-up of interrupts. Interrupts The CPU recognizes seven interrupt levels. Levels 1 through 5 are strictly prioritized. That is, a higher-numbered interrupt can always interrupt a lower-numbered interrupt. In the status register, a privileged instruction allows setting the current minimum interrupt level, blocking lower or equal priority interrupts. For example, if the interrupt level in the status register is set to 3, higher levels from 4 to 7 can cause an exception. Level 7 is a level triggered non-maskable interrupt (NMI). Level 1 can be interrupted by any higher level. Level 0 means no interrupt. The level is stored in the status register, and is visible to user-level programs. Hardware interrupts are signalled to the CPU using three inputs that encode the highest pending interrupt priority. A separate encoder is usually required to encode the interrupts, though for systems that do not require more than three hardware interrupts it is possible to connect the interrupt signals directly to the encoded inputs at the cost of more software complexity. The interrupt controller can be as simple as a 74LS148 priority encoder, or may be part of a very large-scale integration (VLSI) peripheral chip such as the MC68901 Multi-Function Peripheral (used in the Atari ST range of computers and X68000), which also provides a UART, timer, and parallel I/O. The "exception table" (interrupt vector table interrupt vector addresses) is fixed at addresses 0 through 1023, permitting 256 32-bit vectors. The first vector (RESET) consists of two vectors, namely the starting stack address, and the starting code address. Vectors 3 through 15 are used to report various errors: bus error, address error, illegal instruction, zero division, CHK and CHK2 vector, privilege violation (to block privilege escalation), and some reserved vectors that became line 1010 emulator, line 1111 emulator, and hardware breakpoint. Vector 24 starts the real interrupts: spurious interrupt (no hardware acknowledgement), and level 1 through level 7 autovectors, then the 16 TRAP vectors, then some more reserved vectors, then the user defined vectors. Since the starting code address vector must always be valid on reset, systems commonly included some nonvolatile memory (e.g. ROM) starting at address zero to contain the vectors and bootstrap code. However, for a general purpose system it is desirable for the operating system to be able to change the vectors at runtime. This was often accomplished by either pointing the vectors in ROM to a jump table in RAM, or through use of bank switching to allow the ROM to be replaced by RAM at runtime. The 68000 does not meet the Popek and Goldberg virtualization requirements for full processor virtualization because it has a single unprivileged instruction, "MOVE from SR", which allows user-mode software read-only access to a small amount of privileged state. The 68EC000 and 68SEC000, which are later derivatives of the 68000, do meet the requirements as the "MOVE from SR" instruction is privileged. The same change was introduced on the 68010 and later CPUs. The 68000 is also unable to easily support virtual memory, which requires the ability to trap and recover from a failed memory access. The 68000 does provide a bus error exception which can be used to trap, but it does not save enough processor state to resume the faulted instruction once the operating system has handled the exception. Several companies did succeed in making 68000-based Unix workstations with virtual memory that worked by using two 68000 chips running in parallel on different phased clocks. When the "leading" 68000 encountered a bad memory access, extra hardware would interrupt the "main" 68000 to prevent it from also encountering the bad memory access. This interrupt routine would handle the virtual memory functions and restart the "leading" 68000 in the correct state to continue properly synchronized operation when the "main" 68000 returned from the interrupt. These problems were fixed in the next major revision of the 68k architecture with the release of the MC68010. The Bus Error and Address Error exceptions push a large amount of internal state onto the supervisor stack in order to facilitate recovery, and the "MOVE from SR" instruction was made privileged. A new unprivileged "MOVE from CCR" instruction is provided for use in its place by user mode software; an operating system can trap and emulate user mode "MOVE from SR" instructions if desired. ==Instruction set details==

The standard addressing modes are: • Register direct • data register, e.g. "D0" • address register, e.g. "A0" • Register indirect • Simple address, e.g. (A0) • Address with post-increment, e.g. (A0)+ • Address with pre-decrement, e.g. −(A0) • Address with a 16-bit signed offset, e.g. 16(A0) • Register indirect with index register & 8-bit signed offset e.g. 8(A0,D0) or 8(A0,A1) • :Note that for (A0)+ and −(A0), the actual increment or decrement value is dependent on the operand size: a byte access adjusts the address register by 1, a word by 2, and a long by 4. • PC (program counter) relative with displacement • Relative 16-bit signed offset, e.g. 16(PC). This mode was very useful for position-independent code. • Relative with 8-bit signed offset with index, e.g. 8(PC,D2) • Absolute memory location • Either a number, e.g. "$4000", or a symbolic name translated by the assembler • Most 68000 assemblers used the "$" symbol for hexadecimal, instead of "0x" or a trailing H. • There are 16 and 32-bit versions of this addressing mode • Immediate mode • Data stored in the instruction, e.g. "#400" • Quick immediate mode • 3-bit unsigned (or 8-bit signed with moveq) with value stored in opcode • In addq and subq, 0 is the equivalent to 8 • e.g. moveq #0,d0 was quicker than clr.l d0 (though both made D0 equal to 0) Plus: access to the status register, and, in later models, other special registers. Most instructions have variants that operate on 8-bit bytes, 16-bit words, and 32-bit longs; assembler languages use dot-letter suffixes ".b", ".w", and ".l" after the instruction mnemonic to indicate the variant. Like many CPUs of its era the cycle timing of some instructions varied depending on the source operand(s). For example, the unsigned multiply instruction takes (38+2n) clock cycles to complete where 'n' is equal to the number of bits set in the operand. To create a function that took a fixed cycle count required the addition of extra code after the multiply instruction. This would typically consume extra cycles for each bit that wasn't set in the original multiplication operand. Most instructions are dyadic, that is, the operation has a source, and a destination, and the destination is changed. Notable instructions are: • Arithmetic: ADD, SUB, MULU (unsigned multiply), MULS (signed multiply), DIVU (unsigned divide), DIVS (signed divide), NEG (additive negation), and CMP (comparison, done by subtracting the arguments and setting the status bits without storing the result) • Binary-coded decimal arithmetic: ABCD, NBCD, and SBCD • Logic: EOR (exclusive or), AND, NOT (logical not), OR (inclusive or) • Shifting: (logical, i.e. right shifts put zero in the most-significant bit) LSL, LSR, (arithmetic shifts, i.e. sign-extend the most-significant bit) ASR, ASL, (rotates through eXtend and not) ROXL, ROXR, ROL, ROR • Bit test and manipulation in memory or data register: BSET (set to 1), BCLR (clear to 0), BCHG (invert) and BTST (no change). All of these instructions first test the destination bit and set (clear) the CCR Z bit if the destination bit is 0 (1), respectively. • Multiprocessing control: TAS, test-and-set, performed an indivisible bus operation, permitting semaphores to be used to synchronize several processors sharing a single memory • Flow of control: JMP (jump), JSR (jump to subroutine), BSR (relative address jump to subroutine), RTS (return from subroutine), RTE (return from exception, i.e. an interrupt), TRAP (trigger a software exception similar to software interrupt), CHK (a conditional software exception) • Branch: Bcc (where the "cc" specified one of 14 tests of the condition codes in the status register: equal, greater than, less-than, carry, and most combinations and logical inversions, available from the status register). The remaining two possible conditions (always true and always false) have separate instruction mnemonics, BRA (branch always), and BSR (branch to subroutine). • Decrement-and-branch: DBcc (where "cc" was as for the branch instructions), which, provided the condition was false, decremented the low word of a D-register and, if the result was not -1 ($FFFF), branched to a destination. This use of −1 instead of 0 as the terminating value allowed the easy coding of loops that had to do nothing if the count was 0 to start with, with no need for another check before entering the loop. This also facilitated nesting of DBcc. ==68EC000==

The 68EC000 is a low-cost version of the 68000 with a slightly different pinout, designed for embedded controller applications. The 68EC000 can have either a 8-bit or 16-bit data bus, switchable at reset. The processors also have some minor changes to conform to the Popek and Goldberg virtualization requirements, which includes the MOVE from SR instruction being privileged. The processors are available in a variety of speeds including 8 and 16 MHz configurations, producing 2,100 and 4,376 Dhrystones each. These processors have no floating-point unit, and it is difficult to implement an FPU coprocessor (MC68881/2) with one because the EC series lacks necessary coprocessor instructions. The 68EC000 was used as a controller in many audio applications, including Ensoniq musical instruments and sound cards, where it was part of the MIDI synthesizer. On Ensoniq sound boards, the controller provided several advantages compared to competitors without a CPU on board. The processor allowed the board to be configured to perform various audio tasks, such as MPU-401 MIDI synthesis or MT-32 emulation, without the use of a terminate-and-stay-resident program. This improved software compatibility, lowered CPU usage, and eliminated host system memory usage. The Motorola 68EC000 core was later used in the m68k-based DragonBall processors from Motorola/Freescale. It also was used as a sound controller in the Sega Saturn game console and as a controller for the HP JetDirect Ethernet controller boards for the mid-1990s HP LaserJet printers. ==Example code==

The 68000 assembly code below is for a subroutine named , which copies a null-terminated string of 8-bit characters to a destination string, converting all alphabetic characters to lower case. The subroutine establishes a call frame using register A6 as the frame pointer. This kind of calling convention supports reentrant and recursive code and is typically used by languages like C and C++. The subroutine then retrieves the parameters passed to it ( and ) from the stack. It then loops, reading an ASCII character (one byte) from the string, checking whether it is a capital alphabetic character, and if so, converting it into a lower-case character, otherwise leaving it as it is, then writing the character into the string. Finally, it checks whether the character was a null character; if not, it repeats the loop, otherwise it restores the previous stack frame (and A6 register) and returns. Note that the string pointers (registers A0 and A1) are auto-incremented in each iteration of the loop. In contrast, the code below is for a stand-alone function, even on the most restrictive version of AMS for the TI-89 series of calculators, being kernel-independent, with no values looked up in tables, files or libraries when executing, no system calls, no exception processing, minimal registers to be used, nor the need to save any. It is valid for historical Julian dates from 1 March 1 AD, or for Gregorian ones. In less than two dozen operations it calculates a day number compatible with ISO 8601 when called with three inputs stored at their corresponding LOCATIONS: ; ; WDN, an address - for storing result d0 ; FLAG, 0 or 2 - to choose between Julian or Gregorian, respectively ; DATE, year0mda - date stamp as binary word&byte&byte in basic ISO-format ;(YEAR, year ~ YEAR=DATE due to big-endianness) ; ; ; Apply step 1 - Lachman's congruence ; ; Apply step 2 - Finding spqr as the year of the Julian leap day preceding DATE ; ; (Apply step 0 - Gregorian adjustment) ; ; ; ; Days of the week correspond to day numbers of the week as: ; Sun=0 Mon=1 Tue=2 Wed=3 Thu=4 Fri=5 Sat=6 ; ==Notes==