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; Mult8.asm multiplies two 8-bit-numbers to yield a 16-bit-result
;
.NOLIST
.INCLUDE "C:\avrtools\appnotes\8515def.inc"
.LIST
;
; Flow of multiplication
;
; 1.The binary to be multiplicated with, is shifted bitwise into the carry bit. If it is a one, the binary number is added to the
; result, if it is not a one that was shifted out, the number is not added.
; 2.The binary number is multiplied by 2 by rotating it one position left, shifting a 0 into the void position.
; 3.If the binary to be multiplied with, is not zero, the multiplication loop is repeated. If it is zero, the multiplication is done.
;
; Used registers
;
.DEF rm1 = R0 ; Binary number to be multiplicated (8 Bit)
.DEF rmh = R1 ; Interim storage
.DEF rm2 = R2 ; Binary number to be multiplicated with (8 Bit)
.DEF rel = R3 ; Result, LSB (16 Bit)
.DEF reh = R4 ; Result, MSB
.DEF rmp = R16 ; Multi purpose register for loading
;
.CSEG
.ORG 0000
;
rjmp START
;
START:
ldi rmp,0xAA ; example binary 1010.1010
mov rm1,rmp ; to the first binary register
ldi rmp,0x55 ; example binary 0101.0101
mov rm2,rmp ; to the second binary register
;
; Here we start with the multiplication of the two binaries in rm1 and rm2, the result will go to reh:rel (16 Bit)
;
MULT8:
;
; Clear start values
clr rmh ; clear interim storage
clr rel ; clear result registers
clr reh
;
; Here we start with the multiplication loop
;
MULT8a:
;
; Step 1: Rotate lowest bit of binary number 2 to the carry flag (divide by 2, rotate a zero into bit 7)
;
clc ; clear carry bit
ror rm2 ; bit 0 to carry, bit 1 to 7 one position to the right, carry bit to bit 7
;
; Step 2: Branch depending if a 0 or 1 has been rotated to the carry bit
;
brcc MULT8b ; jump over adding, if carry has a 0
;
; Step 3: Add 16 bits in rmh:rml to the result, with overflow from LSB to MSB
;
add rel,rm1 ; add LSB of rm1 to the result
adc reh,rmh ; add carry and MSB of rm1
;
MULT8b:
;
; Step 4: Multiply rmh:rm1 by 2 (16 bits, shift left)
;
clc ; clear carry bit
rol rm1 ; rotate LSB left (multiply by 2)
rol rmh ; rotate carry into MSB and MSB one left
;
; Step 5: Check if there are still one's in binary 2, if yes, go on multiplicating
;
tst rm2 ; all bits zero?
brne MULT8a ; if not, go on in the loop
;
; End of the multiplication, result in reh:rel
;
; Endless loop
;
LOOP:
rjmp loop
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/(2307).gif)
