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-<html><head>
-<meta http-equiv="content-type" content="text/html; charset=UTF-8">
- <title>Assembly In One Step</title>
-<style id="abu-collapse-styles" type="text/css"></style></head>
-<body text="#000000" bgcolor="#ffffff">
-<!-- following code added by server. PLEASE REMOVE -->
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-<h2>Assembly In One Step</h2>
-<i>RTK, last update: 23-Jul-97</i><p>
-
-A brief guide to programming the 6502 in assembly language. It will
-introduce the 6502 architecture, addressing modes, and instruction set.
-No prior assembly language programming is assumed, however it is assumed
-that you are somewhat familiar with hexadecimal numbers. Programming
-examples are given at the end. Much of this material
-comes from <i>6502 Software Design</i> by Leo Scanlon, Blacksburg, 1980.
-</p><p>
-
-</p><hr>
-<p></p><pre>
-The 6502 Architecture
----------------------
-
- The 6502 is an 8-bit microprocessor that follows the memory oriented
- design philosophy of the Motorola 6800. Several engineers left
- Motorola and formed MOS Technology which introduced the 6502 in 1975.
- The 6502 gained in popularity because of it's low price and became the
- heart of several early personal computers including the Apple II,
- Commodore 64, and Atari 400 and 800.
-
-
- Simplicity is key
- -----------------
-
- The 6502 handles data in its registers, each of which holds one byte
- (8-bits) of data. There are a total of three general use and two special
- purpose registers:
-
-
- accumulator (A) - Handles all arithmetic and logic. The real heart
- of the system.
-
- X and Y - General purpose registers with limited abilities.
-
- S - Stack pointer.
-
- P - Processor status. Holds the result of tests
- and flags.
-
-
- Stack Pointer
- -------------
-
- When the microprocessor executes a JSR (Jump to SubRoutine)
- instruction it needs to know where to return when finished. The 6502
- keeps this information in low memory from $0100 to $01FF and uses the
- stack pointer as an offset. The stack grows down from $01FF and makes
- it possible to nest subroutines up to 128 levels deep. Not a problem
- in most cases.
-
-
- Processor Status
- ----------------
-
- The processor status register is not directly accessible by any 6502
- instruction. Instead, there exist numerous instructions that test the
- bits of the processor status register. The flags within the register
- are:
-
-
- bit -&gt; 7 0
- +---+---+---+---+---+---+---+---+
- | N | V | | B | D | I | Z | C | &lt;-- flag, 0/1 = reset/set
- +---+---+---+---+---+---+---+---+
-
-
- N = NEGATIVE. Set if bit 7 of the accumulator is set.
-
- V = OVERFLOW. Set if the addition of two like-signed numbers or the
- subtraction of two unlike-signed numbers produces a result
- greater than +127 or less than -128.
-
- B = BRK COMMAND. Set if an interrupt caused by a BRK, reset if
- caused by an external interrupt.
-
- D = DECIMAL MODE. Set if decimal mode active.
-
- I = IRQ DISABLE. Set if maskable interrupts are disabled.
-
- Z = ZERO. Set if the result of the last operation (load/inc/dec/
- add/sub) was zero.
-
- C = CARRY. Set if the add produced a carry, or if the subtraction
- produced a borrow. Also holds bits after a logical shift.
-
-
- Accumulator
- -----------
-
- The majority of the 6502's business makes use of the accumulator. All
- addition and subtraction is done in the accumulator. It also handles
- the majority of the logical comparisons (is A &gt; B ?) and logical bit
- shifts.
-
-
- X and Y
- -------
-
- These are index registers often used to hold offsets to memory
- locations. They can also be used for holding needed values. Much of
- their use lies in supporting some of the addressing modes.
-
-
-
-Addressing Modes
-----------------
-
- The 6502 has 13 addressing modes, or ways of accessing memory. The 65C02
- introduces two additional modes.
-
- They are:
-
-
- +---------------------+--------------------------+
- | mode | assembler format |
- +=====================+==========================+
- | Immediate | #aa |
- | Absolute | aaaa |
- | Zero Page | aa | Note:
- | Implied | |
- | Indirect Absolute | (aaaa) | aa = 2 hex digits
- | Absolute Indexed,X | aaaa,X | as $FF
- | Absolute Indexed,Y | aaaa,Y |
- | Zero Page Indexed,X | aa,X | aaaa = 4 hex
- | Zero Page Indexed,Y | aa,Y | digits as
- | Indexed Indirect | (aa,X) | $FFFF
- | Indirect Indexed | (aa),Y |
- | Relative | aaaa | Can also be
- | Accumulator | A | assembler labels
- +---------------------+--------------------------+
-
- (Table 2-3. _6502 Software Design_, Scanlon, 1980)
-
-
- Immediate Addressing
- --------------------
-
- The value given is a number to be used immediately by the
- instruction. For example, LDA #$99 loads the value $99 into the
- accumulator.
-
-
- Absolute Addressing
- -------------------
-
- The value given is the address (16-bits) of a memory location that
- contains the 8-bit value to be used. For example, STA $3E32 stores
- the present value of the accumulator in memory location $3E32.
-
-
- Zero Page Addressing
- --------------------
-
- The first 256 memory locations ($0000-00FF) are called "zero page". The
- next 256 instructions ($0100-01FF) are page 1, etc. Instructions
- making use of the zero page save memory by not using an extra $00 to
- indicate the high part of the address. For example,
-
- LDA $0023 -- works but uses an extra byte
- LDA $23 -- the zero page address
-
-
- Implied Addressing
- ------------------
-
- Many instructions are only one byte in length and do not reference
- memory. These are said to be using implied addressing. For example,
-
- CLC -- Clear the carry flag
- DEX -- Decrement the X register by one
- TYA -- Transfer the Y register to the accumulator
-
-
- Indirect Absolute Addressing
- ----------------------------
-
- Only used by JMP (JuMP). It takes the given address and uses it as a
- pointer to the low part of a 16-bit address in memory, then jumps to
- that address. For example,
-
- JMP ($2345) -- jump to the address in $2345 low and $2346 high
-
- So if $2345 contains $EA and $2346 contains $12 then the next
- instruction executed is the one stored at $12EA. Remember, the
- 6502 puts its addresses in low/high format.
-
-
- Absolute Indexed Addressing
- ---------------------------
-
- The final address is found by taking the given address as a base and
- adding the current value of the X or Y register to it as an offset. So,
-
- LDA $F453,X where X contains 3
-
- Load the accumulator with the contents of address $F453 + 3 = $F456.
-
-
- Zero Page Indexed Addressing
- ----------------------------
-
- Same as Absolute Indexed but the given address is in the zero page
- thereby saving a byte of memory.
-
-
- Indexed Indirect Addressing
- ---------------------------
-
- Find the 16-bit address starting at the given location plus the
- current X register. The value is the contents of that address. For
- example,
-
- LDA ($B4,X) where X contains 6
-
- gives an address of $B4 + 6 = $BA. If $BA and $BB contain $12 and
- $EE respectively, then the final address is $EE12. The value at
- location $EE12 is put in the accumulator.
-
-
- Indirect Indexed Addressing
- ---------------------------
-
- Find the 16-bit address contained in the given location ( and the one
- following). Add to that address the contents of the Y register.
- Fetch the value stored at that address. For example,
-
- LDA ($B4),Y where Y contains 6
-
- If $B4 contains $EE and $B5 contains $12 then the value at memory
- location $12EE + Y (6) = $12F4 is fetched and put in the accumulator.
-
-
- Relative Addressing
- -------------------
-
- The 6502 branch instructions use relative addressing. The next byte
- is a signed offset from the current address, and the net sum is the
- address of the next instruction executed. For example,
-
- BNE $7F (branch on zero flag reset)
-
- will add 127 to the current program counter (address to execute) and
- start executing the instruction at that address. SImilarly,
-
- BEQ $F9 (branch on zero flag set)
-
- will add a -7 to the current program counter and start execution at
- the new program counter address.
-
- Remember, if one treats the highest bit (bit 7) of a byte as a sign (0
- = positive, 1 = negative) then it is possible to have numbers in the
- range -128 ($80) to +127 (7F). So, if the high bit is set, i.e. the
- number is &gt; $7F, it is a negative branch. How far is the branch? If
- the value is &lt; $80 (positive) it is simply that many bytes. If the
- value is &gt; $7F (negative) then it is the 2's compliment of the given
- value in the negative direction.
-
- 2's compilment
- --------------
-
- The 2's compilment of a number is found by switching all the bits
- from 0 -&gt; 1 and 1 -&gt; 0, then adding 1. So,
-
- $FF = 1111 1111 &lt;-- original
- 0000 0000 &lt;-- 1's compliment
- + 1
- ---------
- 0000 0001 &lt;-- 2's compliment, therefore $FF = -1
-
- Note that QForth uses this for numbers greater than 32768 so that
- 65535 = -1 and 32768 = -32768.
-
- In practice, the assembly language programmer uses a label and the
- assembler takes care of the actual computation. Note that branches
- can only be to addresses within -128 to +127 bytes from the present
- address. The 6502 does not allow branches to an absolute address.
-
-
- Accumulator Addressing
- ----------------------
-
- Like implied addressing, the object of the instruction is the
- accumulator and need not be specified.
-
-
-
-The 6502 Instruction Set
-------------------------
-
- There are 56 instructions in the 6502, and more in the 65C02. Many
- instructions make use of more than one addressing mode and each
- instruction/addressing mode combination has a particular hexadecimal
- opcode that specifies it exactly. So,
-
- A9 = LDA #$aa Immediate addressing mode load of accumulator
- AD = LDA $aaaa Absolute addressing mode load of accumulator
- etc.
-
-
- Some 6502 instructions make use of bitwise logic. This includes AND,
- OR, and EOR (Exclusive-OR). The tables below illustrate the effects
- of these operations:
-
- AND 1 1 -&gt; 1 "both"
- 1 0 -&gt; 0
- 0 1 -&gt; 0
- 0 0 -&gt; 0
-
- OR 1 1 -&gt; 1 "either one or both"
- 1 0 -&gt; 1
- 0 1 -&gt; 1
- 0 0 -&gt; 0
-
- EOR 1 1 -&gt; 0 "one or the other but not both"
- 1 0 -&gt; 1
- 0 1 -&gt; 1
- 0 0 -&gt; 0
-
- Therefore, $FF AND $0F = $0F since,
-
- 1111 1111
- and 0000 1111
- ---------
- 0000 1111 = $0F
-
-
- AND is useful for masking bits. For example, to mask the high order
- bits of a value AND with $0F:
-
- $36 AND $0F = $06
-
- OR is useful for setting a particular bit:
-
- $80 OR $08 = $88
-
- since 1000 0000 ($80)
- 0000 1000 ($08)
- or ---------
- 1000 1000 ($88)
-
- EOR is useful for flipping bits:
-
- $AA EOR $FF = $55
-
- since 1010 1010 ($AA)
- 1111 1111 ($FF)
- eor ---------
- 0101 0101 ($55)
-
-
- Other 6502 instructions shift bits to the right or the left or rotate
- them right or left. Note that shifting to the left by one bit is the
- same as multipling by 2 and that shifting right by one bit is the same
- as dividing by 2.
-
-
- The 6502 instructions fall naturally into 10 groups with two odd-ball
- instructions NOP and BRK:
-
- Load and Store Instructions
- Arithmetic Instructions
- Increment and Decrement Instructions
- Logical Instructions
- Jump, Branch, Compare and Test Bits Instructions
- Shift and Rotate Instructions
- Transfer Instructions
- Stack Instructions
- Subroutine Instructions
- Set/Reset Instructions
- NOP/BRK Instructions
-
-
-
- Load and Store Instructions
- ===========================
-
- LDA - LoaD the Accumulator
- LDX - LoaD the X register
- LDY - LoaD the Y register
-
- STA - STore the Accumulator
- STX - STore the X register
- STY - STore the Y register
-
- Microprocessors spend much of their time moving stuff around in
- memory. Data from one location is loaded into a register and stored
- in another location, often with something added or subtracted in the
- process. Memory can be loaded directly into the A, X, and Y registers
- but as usual, the accumulator has more addressing modes available.
-
- If the high bit (left most, bit 7) is set when loaded the N flag on
- the processor status register is set. If the loaded value is zero the
- Z flag is set.
-
-
- Arithmetic Instructions
- =======================
-
- ADC - ADd to accumulator with Carry
- SBC - SuBtract from accumulator with Carry
-
- The 6502 has two arithmetic modes, binary and decimal. Both addition
- and subtraction implement the carry flag to track carries and borrows
- thereby making multibyte arithmetic simple. Note that in the case of
- subtraction it is necessary to SET the carry flag as it is the opposite
- of the carry that is subtracted.
-
- Addition should follow this form:
-
- CLC
- ADC ...
- .
- .
- ADC ...
- .
- .
- .
-
- Clear the carry flag, and perform all the additions. The carry
- between additions will be handled in the carry flag. Add from low
- byte to high byte. Symbolically, the net effect of an ADC instruction is:
-
- A + M + C --&gt; A
-
-
- Subtraction follows the same format:
-
- SEC
- SBC ...
- .
- .
- SBC ...
- .
- .
- .
-
- In this case set the carry flag first and then do the subtractions.
- Symbolically,
-
- A - M - ~C --&gt; A , where ~C is the opposite of C
-
-
- Ex.1
- ----
- A 16-bit addition routine. $20,$21 + $22,$23 = $24,$25
-
- CLC clear the carry
- LDA $20 get the low byte of the first number
- ADC $22 add to it the low byte of the second
- STA $24 store in the low byte of the result
- LDA $21 get the high byte of the first number
- ADC $23 add to it the high byte of the second, plus carry
- STA $25 store in high byte of the result
-
- ... on exit the carry will be set if the result could not be
- contained in 16-bit number.
-
- Ex.2
- ----
- A 16-bit subtraction routine. $20,$21 - $22,$23 = $24,$25
-
- SEC clear the carry
- LDA $20 get the low byte of the first number
- SBC $22 add to it the low byte of the second
- STA $24 store in the low byte of the result
- LDA $21 get the high byte of the first number
- SBC $23 add to it the high byte of the second, plus carry
- STA $25 store in high byte of the result
-
- ... on exit the carry will be set if the result produced a
- borrow
-
- Aside from the carry flag, arithmetic instructions also affect the N,
- Z, and V flags as follows:
-
- Z = 1 if result was zero, 0 otherwise
- N = 1 if bit 7 of the result is 1, 0 otherwise
- V = 1 if bit 7 of the accumulator was changed, a sign change
-
-
-
- Increment and Decrement Instructions
- ====================================
-
- INC - INCrement memory by one
- INX - INcrement X by one
- INY - INcrement Y by one
-
- DEC - DECrement memory by one
- DEX - DEcrement X by one
- DEY - DEcrement Y by one
-
- The 6502 has instructions for incrementing/decrementing the index
- registers and memory. Note that it does not have instructions for
- incrementing/decrementing the accumulator. This oversight was
- rectified in the 65C02 which added INA and DEA instructions. The
- index register instructions are implied mode for obvious reasons while
- the INC and DEC instructions use a number of addressing modes.
-
- All inc/dec instructions have alter the processor status flags in the
- following way:
-
- Z = 1 if the result is zero, 0 otherwise
- N = 1 if bit 7 is 1, 0 otherwise
-
-
-
- Logical Instructions
- ====================
-
- AND - AND memory with accumulator
- ORA - OR memory with Accumulator
- EOR - Exclusive-OR memory with Accumulator
-
- These instructions perform a bitwise binary operation according to the
- tables given above. They set the Z flag if the net result is zero and
- set the N flag if bit 7 of the result is set.
-
-
-
- Jump, Branch, Compare, and Test Bits
- ====================================
-
- JMP - JuMP to another location (GOTO)
-
- BCC - Branch on Carry Clear, C = 0
- BCS - Branch on Carry Set, C = 1
- BEQ - Branch on EQual to zero, Z = 1
- BNE - Branch on Not Equal to zero, Z = 0
- BMI - Branch on MInus, N = 1
- BPL - Branch on PLus, N = 0
- BVS - Branch on oVerflow Set, V = 1
- BVC - Branch on oVerflow Clear, V = 0
-
- CMP - CoMPare memory and accumulator
- CPX - ComPare memory and X
- CPY - ComPare memory and Y
-
- BIT - test BITs
-
- This large group includes all instructions that alter the flow of the
- program or perform a comparison of values or bits.
-
- JMP simply sets the program counter (PC) to the address given.
- Execution proceeds from the new address. The branch instructions are
- relative jumps. They cause a branch to a new address that is either
- 127 bytes beyond the current PC or 128 bytes before the current PC.
- Code that only uses branch instructions is relocatable and can be run
- anywhere in memory.
-
- The three compare instructions are used to set processor status bits.
- After the comparison one frequently branches to a new place in the
- program based on the settings of the status register. The
- relationship between the compared values and the status bits is,
-
-
- +-------------------------+---------------------+
- | | N Z C |
- +-------------------------+---------------------+
- | A, X, or Y &lt; Memory | 1 0 0 |
- | A, X, or Y = Memory | 0 1 1 |
- | A, X, or Y &gt; Memory | 0 0 1 |
- +-----------------------------------------------+
-
-
- The BIT instruction tests bits in memory with the accumulator but
- changes neither. Only processor status flags are set. The contents
- of the specified memory location are logically ANDed with the
- accumulator, then the status bits are set such that,
-
- * N receives the initial, un-ANDed value of memory bit 7.
- * V receives the initial, un-ANDed value of memory bit 6.
- * Z is set if the result of the AND is zero, otherwise reset.
-
- So, if $23 contained $7F and the accumulator contained $80 a BIT $23
- instruction would result in the V and Z flags being set and N reset since
- bit 7 of $7F is 0, bit 6 of $7F is 1, and $7F AND $80 = 0.
-
-
-
- Shift and Rotate Instructions
- =============================
-
- ASL - Accumulator Shift Left
- LSR - Logical Shift Right
- ROL - ROtate Left
- ROR - ROtate Right
-
- Use these instructions to move things around in the accumulator or
- memory. The net effects are (where C is the carry flag):
-
-
- +-+-+-+-+-+-+-+-+
- C &lt;- |7|6|5|4|3|2|1|0| &lt;- 0 ASL
- +-+-+-+-+-+-+-+-+
-
- +-+-+-+-+-+-+-+-+
- 0 -&gt; |7|6|5|4|3|2|1|0| -&gt; C LSR
- +-+-+-+-+-+-+-+-+
-
- +-+-+-+-+-+-+-+-+
- C &lt;- |7|6|5|4|3|2|1|0| &lt;- C ROL
- +-+-+-+-+-+-+-+-+
-
- +-+-+-+-+-+-+-+-+
- C -&gt; |7|6|5|4|3|2|1|0| -&gt; C ROR
- +-+-+-+-+-+-+-+-+
-
-
- Z is set if the result it zero. N is set if bit 7 is 1. It is
- always reset on LSR. Remember that ASL A is equal to multiplying by
- two and that LSR is equal to dividing by two.
-
-
-
- Transfer Instructions
- =====================
-
- TAX - Transfer Accumulator to X
- TAY - Transfer Accumulator to Y
- TXA - Transfer X to accumulator
- TYA - Transfer Y to Accumulator
-
- Transfer instructions move values between the 6502 registers. The N
- and Z flags are set if the value being moved warrants it, i.e.
-
- LDA #$80
- TAX
-
- causes the N flag to be set since bit 7 of the value moved is 1, while
-
- LDX #$00
- TXA
-
- causes the Z flag to be set since the value is zero.
-
-
-
- Stack Instructions
- ==================
-
- TSX - Transfer Stack pointer to X
- TXS - Transfer X to Stack pointer
-
- PHA - PusH Accumulator on stack
- PHP - PusH Processor status on stack
- PLA - PulL Accumulator from stack
- PLP - PulL Processor status from stack
-
- TSX and TXS make manipulating the stack possible. The push and pull
- instructions are useful for saving register values and status flags.
- Their operation is straightforward.
-
-
-
- Subroutine Instructions
- =======================
-
- JSR - Jump to SubRoutine
- RTS - ReTurn from Subroutine
- RTI - ReTurn from Interrupt
-
- Like JMP, JSR causes the program to start execution of the next
- instruction at the given address. Unlike JMP, JSR pushes the address
- of the next instruction after itself on the stack. When an RTS
- instruction is executed the address pushed on the stack is pulled off
- the stack and the program resumes at that address. For example,
-
- LDA #$C1 ; load the character 'A'
- JSR print ; print the character and it's hex code
- LDA #$C2 ; load 'B'
- JSR print ; and print it
- .
- .
- .
- print JSR $FDED ; print the letter
- JSR $FDDA ; and its ASCII code
- RTS ; return to the caller
-
- RTI is analagous to RTS and should be used to end an interrupt routine.
-
-
-
- Set and Reset (Clear) Instructions
- ==================================
-
- CLC - CLear Carry flag
- CLD - CLear Decimal mode
- CLI - CLear Interrupt disable
- CLV - CLear oVerflow flag
-
- SEC - SEt Carry
- SED - SEt Decimal mode
- SEI - SEt Interrupt disable
-
- These are one byte instructions to specify processor status flag
- settings.
-
- CLC and SEC are of particular use in addition and subtraction
- respectively. Before any addition (ADC) use CLC to clear the carry
- or the result may be one greater than you expect. For subtraction
- (SBC) use SEC to ensure that the carry is set as its compliment is
- subtracted from the answer. In multi-byte additions or subtractions
- only clear or set the carry flag before the initial operation. For
- example, to add one to a 16-bit number in $23 and $24 you would write:
-
- LDA $23 ; get the low byte
- CLC ; clear the carry
- ADC #$02 ; add a constant 2, carry will be set if result &gt; 255
- STA $23 ; save the low byte
- LDA $24 ; get the high byte
- ADC #$00 ; add zero to add any carry that might have been set above
- STA $24 ; save the high byte
- RTS ; if carry set now the result was &gt; 65535
-
- Similarly for subtraction,
-
- LDA $23 ; get the low byte
- SEC ; set the carry
- SBC #$02 ; subtract 2
- STA $23 ; save the low byte
- LDA $24 ; get the high byte
- SBC #$00 ; subtract 0 and any borrow generated above
- STA $24 ; save the high byte
- RTS ; if the carry is not set the result was &lt; 0
-
-
-
- Other Instructions
- ==================
-
- NOP - No OPeration (or is it NO oPeration ? :)
- BRK - BReaK
-
- NOP is just that, no operation. Useful for deleting old
- instructions, reserving room for future instructions or for use in
- careful timing loops as it uses 2 microprocessor cycles.
-
- BRK causes a forced break to occur and the processor will immediately
- start execution of the routine whose address is in $FFFE and $FFFF.
- This address is often the start of a system monitor program.
-
-
-
-Some simple programming examples
-================================
-
- A few simple programming examples are given here. They serve to
- illustrate some techniques commonly used in assembly programming.
- There are doubtless dozens more and I make no claim at being a
- proficient assembly language programmer. For examples of addition
- and subtraction see above on CLC and SEC.
-
-
- A count down loop
- -----------------
-
- ;
- ; An 8-bit count down loop
- ;
-
- start LDX #$FF ; load X with $FF = 255
- loop DEX ; X = X - 1
- BNE loop ; if X not zero then goto loop
- RTS ; return
-
- How does the BNE instruction know that X is zero? It
- doesn't, all it knows is that the Z flag is set or reset.
- The DEX instruction will set the Z flag when X is zero.
-
-
- ;
- ; A 16-bit count down loop
- ;
-
- start LDY #$FF ; load Y with $FF
- loop1 LDX #$FF ; load X with $FF
- loop2 DEX ; X = X - 1
- BNE loop2 ; if X not zero goto loop2
- DEY ; Y = Y - 1
- BNE loop1 ; if Y not zero goto loop1
- RTS ; return
-
- There are two loops here, X will be set to 255 and count to
- zero for each time Y is decremented. The net result is to
- count the 16-bit number Y (high) and X (low) down from $FFFF
- = 65535 to zero.
-
-
- Other examples
- --------------
-
- ** Note: All of the following examples are lifted nearly verbatim from
- the book "6502 Software Design", whose reference is above.
-
-
- ; Example 4-2. Deleting an entry from an unordered list
- ;
- ; Delete the contents of $2F from a list whose starting
- ; address is in $30 and $31. The first byte of the list
- ; is its length.
- ;
-
- deluel LDY #$00 ; fetch element count
- LDA ($30),Y
- TAX ; transfer length to X
- LDA $2F ; item to delete
- nextel INY ; index to next element
- CMP ($30),Y ; do entry and element match?
- BEQ delete ; yes. delete element
- DEX ; no. decrement element count
- BNE nextel ; any more elements to compare?
- RTS ; no. element not in list. done
-
- ; delete an element by moving the ones below it up one location
-
- delete DEX ; decrement element count
- BEQ deccnt ; end of list?
- INY ; no. move next element up
- LDA ($30),Y
- DEY
- STA ($30),Y
- INY
- JMP delete
- deccnt LDA ($30,X) ; update element count of list
- SBC #$01
- STA ($30,X)
- RTS
-
-
-
-
- ; Example 5-6. 16-bit by 16-bit unsigned multiply
- ;
- ; Multiply $22 (low) and $23 (high) by $20 (low) and
- ; $21 (high) producing a 32-bit result in $24 (low) to $27 (high)
- ;
-
- mlt16 LDA #$00 ; clear p2 and p3 of product
- STA $26
- STA $27
- LDX #$16 ; multiplier bit count = 16
- nxtbt LSR $21 ; shift two-byte multiplier right
- ROR $20
- BCC align ; multiplier = 1?
- LDA $26 ; yes. fetch p2
- CLC
- ADC $22 ; and add m0 to it
- STA $26 ; store new p2
- LDA $27 ; fetch p3
- ADC $23 ; and add m1 to it
- align ROR A ; rotate four-byte product right
- STA $27 ; store new p3
- ROR $26
- ROR $25
- ROR $24
- DEX ; decrement bit count
- BNE nxtbt ; loop until 16 bits are done
- RTS
-
-
-
- ; Example 5-14. Simple 16-bit square root.
- ;
- ; Returns the 8-bit square root in $20 of the
- ; 16-bit number in $20 (low) and $21 (high). The
- ; remainder is in location $21.
-
- sqrt16 LDY #$01 ; lsby of first odd number = 1
- STY $22
- DEY
- STY $23 ; msby of first odd number (sqrt = 0)
- again SEC
- LDA $20 ; save remainder in X register
- TAX ; subtract odd lo from integer lo
- SBC $22
- STA $20
- LDA $21 ; subtract odd hi from integer hi
- SBC $23
- STA $21 ; is subtract result negative?
- BCC nomore ; no. increment square root
- INY
- LDA $22 ; calculate next odd number
- ADC #$01
- STA $22
- BCC again
- INC $23
- JMP again
- nomore STY $20 ; all done, store square root
- STX $21 ; and remainder
- RTS
-
-
- This is based on the observation that the square root of an
- integer is equal to the number of times an increasing odd
- number can be subtracted from the original number and remain
- positive. For example,
-
- 25
- - 1 1
- --
- 24
- - 3 2
- --
- 21
- - 5 3
- --
- 16
- - 7 4
- --
- 9
- - 9 5 = square root of 25
- --
- 0
-
-
-If you are truly interested in learning more, go to your public library
-and seek out an Apple machine language programming book. If your public
-library is like mine, there will still be plenty of early 80s computer
-books on the shelves. :)
-</pre>
-<hr>
-<img src="Assembly%20In%20One%20Step_files/index.html"><br>
-Last update: 30-Jan-00<br>
-<a href="https://dwheeler.com/6502/oneelkruns/65index.html"><b>Back</b></a>
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