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Serial adder / subtracter
2022-07-25 04:05:00 【Drill up and strengthen】
One 、 Experimental principle
n individual 1 Bit full adder （FA） It can be cascaded into one n Bit traveling wave carry adder .M Control input line for mode , When M=0 when , add （A＋B） operation ; When M=l when , subtracting （A-B） operation , In the latter case ,A-B Operation into [A] repair +[-B] Complement operation , The process of making up consists of B＋1 To achieve . Therefore, the starting carry input of the full adder on the right is connected to the function mode line M On , In subtraction M=l, It is equivalent to adding 1. In addition, the left side of the figure also shows the overflow detection logic of the single sign bit method : When Cn
=Cn-1
when , Operation without overflow ; And when Cn≠Cn-1
when , The operation overflows , Overflow signal is generated through XOR gate .
Two binary numbers Ai
,Bi
And a carry input Ci
Add up , Generate a and output Si
, And a carry output Ci+1
.
Input | Output | |||
Ai | Bi | Ci | Si | Ci+1 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 1 | 0 |
0 | 1 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 1 |
1 | 0 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 1 |
1 | 1 | 0 | 0 | 1 |
1 | 1 | 1 | 1 | 1 |
According to the truth table shown in the above table , Three inputs and two inputs can be connected according to the following logic equation ：
Si ＝Ai ⊕Bi
⊕Ci
Ci+1 ＝AiBi
＋BiCi
＋AiCi
For a full adder (FA) Come on ,Si
The time delay of is 6T( XOR gate delay per stage 3T),Ci+1
The time delay of is 5T, among T Is defined as the unit gate delay corresponding to a single-stage logic circuit .T Usually a “ And non ” Door or one “ Or not ” The time delay of the gate is used as the unit of measurement .
The circuit diagram is as follows ：
Two 、 Serial controllable addition / Subtracter test
Initial circuit diagram ：
Sub circuit diagram ：
（1）FA： Full adder
Example 1 ： Add
- Don't spill
1000000000000000+0110000000000000=1110000000000000
- Can overflow
1000000000000000+1000000000000000=10000000000000000
Example 2 ： Subtraction ：
1110000000000000-1000000000000000=0110000000000000
3、 ... and 、 Experimental code
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<project source="2.7.1" version="1.0">
This file is intended to be loaded by Logisim (http://www.cburch.com/logisim/).
<lib desc="#Wiring" name="0"/>
<lib desc="#Gates" name="1"/>
<lib desc="#Plexers" name="2"/>
<lib desc="#Arithmetic" name="3"/>
<lib desc="#Memory" name="4">
<tool name="ROM">
<a name="contents">addr/data: 8 8
0
</a>
</tool>
</lib>
<lib desc="#I/O" name="5"/>
<lib desc="#Base" name="6">
<tool name="Text Tool">
<a name="text" val=""/>
<a name="font" val="SansSerif plain 12"/>
<a name="halign" val="center"/>
<a name="valign" val="base"/>
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</lib>
<main name="main"/>
<options>
<a name="gateUndefined" val="ignore"/>
<a name="simlimit" val="1000"/>
<a name="simrand" val="0"/>
</options>
<mappings>
<tool lib="6" map="Button2" name="Menu Tool"/>
<tool lib="6" map="Button3" name="Menu Tool"/>
<tool lib="6" map="Ctrl Button1" name="Menu Tool"/>
</mappings>
<toolbar>
<tool lib="6" name="Poke Tool"/>
<tool lib="6" name="Edit Tool"/>
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<sep/>
<tool lib="0" name="Pin">
<a name="tristate" val="false"/>
</tool>
<tool lib="0" name="Pin">
<a name="facing" val="west"/>
<a name="output" val="true"/>
<a name="labelloc" val="east"/>
</tool>
<tool lib="1" name="NOT Gate"/>
<tool lib="1" name="AND Gate"/>
<tool lib="1" name="OR Gate"/>
</toolbar>
<circuit name="main">
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<a name="clabel" val=""/>
<a name="clabelup" val="east"/>
<a name="clabelfont" val="SansSerif plain 12"/>
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<wire from="(790,540)" to="(850,540)"/>
<wire from="(870,540)" to="(930,540)"/>
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<wire from="(1030,540)" to="(1090,540)"/>
<wire from="(550,540)" to="(610,540)"/>
<wire from="(630,540)" to="(690,540)"/>
<wire from="(710,540)" to="(770,540)"/>
<wire from="(570,760)" to="(570,830)"/>
<wire from="(810,170)" to="(910,170)"/>
<wire from="(970,170)" to="(1070,170)"/>
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<wire from="(720,150)" to="(830,150)"/>
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<wire from="(760,120)" to="(760,190)"/>
<wire from="(650,170)" to="(650,240)"/>
<wire from="(990,160)" to="(990,190)"/>
<wire from="(670,160)" to="(670,190)"/>
<wire from="(490,170)" to="(490,250)"/>
<wire from="(420,70)" to="(420,100)"/>
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<wire from="(350,160)" to="(350,190)"/>
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<wire from="(970,170)" to="(970,250)"/>
<wire from="(810,250)" to="(830,250)"/>
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<wire from="(500,790)" to="(500,830)"/>
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<wire from="(500,70)" to="(500,110)"/>
<wire from="(1200,230)" to="(1230,230)"/>
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<wire from="(770,220)" to="(770,540)"/>
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<wire from="(930,220)" to="(930,540)"/>
<wire from="(1010,220)" to="(1010,540)"/>
<wire from="(1090,220)" to="(1090,540)"/>
<wire from="(1170,220)" to="(1170,540)"/>
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<wire from="(1080,270)" to="(1410,270)"/>
<wire from="(540,790)" to="(700,790)"/>
<wire from="(60,830)" to="(460,830)"/>
<wire from="(1000,220)" to="(1000,280)"/>
<wire from="(1080,90)" to="(1080,190)"/>
<wire from="(490,590)" to="(490,640)"/>
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<wire from="(1160,220)" to="(1160,260)"/>
<wire from="(450,70)" to="(450,130)"/>
<wire from="(600,140)" to="(600,190)"/>
<wire from="(560,70)" to="(1320,70)"/>
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<wire from="(550,80)" to="(1240,80)"/>
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<wire from="(870,540)" to="(870,550)"/>
<wire from="(150,540)" to="(150,550)"/>
<wire from="(920,220)" to="(920,290)"/>
<wire from="(230,540)" to="(230,550)"/>
<wire from="(1040,180)" to="(1040,250)"/>
<wire from="(70,540)" to="(70,550)"/>
<wire from="(1270,230)" to="(1310,230)"/>
<wire from="(390,540)" to="(390,550)"/>
<wire from="(270,180)" to="(270,190)"/>
<wire from="(310,540)" to="(310,550)"/>
<wire from="(1180,590)" to="(1180,720)"/>
<wire from="(760,220)" to="(760,310)"/>
<wire from="(890,160)" to="(990,160)"/>
<wire from="(1350,330)" to="(1350,400)"/>
<wire from="(570,160)" to="(670,160)"/>
<wire from="(1190,540)" to="(1190,550)"/>
<wire from="(490,800)" to="(490,830)"/>
<wire from="(1310,180)" to="(1310,190)"/>
<wire from="(410,160)" to="(510,160)"/>
<wire from="(1110,540)" to="(1110,550)"/>
<wire from="(1370,640)" to="(1420,640)"/>
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<wire from="(840,220)" to="(840,300)"/>
<wire from="(540,50)" to="(540,70)"/>
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<wire from="(540,590)" to="(540,770)"/>
<wire from="(520,220)" to="(520,340)"/>
<wire from="(630,780)" to="(1260,780)"/>
<wire from="(340,50)" to="(400,50)"/>
<wire from="(1330,230)" to="(1500,230)"/>
<wire from="(700,590)" to="(700,790)"/>
<wire from="(1430,250)" to="(1430,400)"/>
<wire from="(440,220)" to="(440,350)"/>
<wire from="(1300,380)" to="(1300,400)"/>
<wire from="(360,220)" to="(360,360)"/>
<wire from="(1270,230)" to="(1270,510)"/>
<wire from="(380,590)" to="(380,790)"/>
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<wire from="(280,220)" to="(280,370)"/>
<wire from="(570,160)" to="(570,250)"/>
<wire from="(550,800)" to="(780,800)"/>
<wire from="(590,740)" to="(590,830)"/>
<wire from="(280,110)" to="(280,190)"/>
<wire from="(410,160)" to="(410,240)"/>
<wire from="(300,590)" to="(300,800)"/>
<wire from="(1370,510)" to="(1370,640)"/>
<wire from="(510,70)" to="(510,100)"/>
<wire from="(250,160)" to="(250,250)"/>
<wire from="(600,330)" to="(1350,330)"/>
<wire from="(840,110)" to="(840,190)"/>
<wire from="(890,160)" to="(890,240)"/>
<wire from="(780,590)" to="(780,800)"/>
<wire from="(220,590)" to="(220,810)"/>
<wire from="(890,240)" to="(910,240)"/>
<wire from="(200,220)" to="(200,380)"/>
<wire from="(830,150)" to="(830,190)"/>
<wire from="(140,590)" to="(140,820)"/>
<wire from="(650,240)" to="(670,240)"/>
<wire from="(1340,340)" to="(1340,400)"/>
<wire from="(40,80)" to="(40,120)"/>
<wire from="(410,240)" to="(430,240)"/>
<wire from="(120,220)" to="(120,390)"/>
<wire from="(90,240)" to="(110,240)"/>
<wire from="(170,240)" to="(190,240)"/>
<wire from="(430,70)" to="(430,110)"/>
<wire from="(60,590)" to="(60,830)"/>
<wire from="(600,720)" to="(1180,720)"/>
<wire from="(490,640)" to="(560,640)"/>
<wire from="(220,810)" to="(480,810)"/>
<wire from="(1240,250)" to="(1430,250)"/>
<wire from="(680,320)" to="(1360,320)"/>
<wire from="(480,810)" to="(480,830)"/>
<wire from="(550,800)" to="(550,830)"/>
<wire from="(560,810)" to="(560,830)"/>
<wire from="(1330,220)" to="(1330,230)"/>
<wire from="(170,180)" to="(270,180)"/>
<wire from="(120,90)" to="(410,90)"/>
<wire from="(540,790)" to="(540,830)"/>
<wire from="(600,720)" to="(600,830)"/>
<wire from="(120,390)" to="(1290,390)"/>
<wire from="(1380,300)" to="(1380,400)"/>
<wire from="(520,770)" to="(520,830)"/>
<wire from="(680,130)" to="(680,190)"/>
<wire from="(440,130)" to="(440,190)"/>
<wire from="(530,780)" to="(530,830)"/>
<wire from="(1240,80)" to="(1240,190)"/>
<wire from="(170,180)" to="(170,240)"/>
<wire from="(1070,170)" to="(1070,190)"/>
<wire from="(1230,170)" to="(1230,190)"/>
<wire from="(300,800)" to="(490,800)"/>
<wire from="(480,540)" to="(530,540)"/>
<wire from="(610,650)" to="(610,780)"/>
<wire from="(480,540)" to="(480,550)"/>
<wire from="(430,170)" to="(430,190)"/>
<wire from="(410,70)" to="(410,90)"/>
<wire from="(530,90)" to="(1080,90)"/>
<wire from="(760,310)" to="(1370,310)"/>
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<wire from="(460,70)" to="(460,150)"/>
<wire from="(1120,170)" to="(1120,240)"/>
<wire from="(1290,390)" to="(1290,400)"/>
<wire from="(1420,260)" to="(1420,400)"/>
<wire from="(910,170)" to="(910,190)"/>
<wire from="(580,750)" to="(580,830)"/>
<wire from="(1320,240)" to="(1440,240)"/>
<wire from="(590,170)" to="(590,190)"/>
<wire from="(560,810)" to="(860,810)"/>
<wire from="(750,170)" to="(750,190)"/>
<wire from="(470,780)" to="(510,780)"/>
<wire from="(1040,640)" to="(1120,640)"/>
<wire from="(1120,640)" to="(1200,640)"/>
<wire from="(1200,640)" to="(1280,640)"/>
<wire from="(520,770)" to="(540,770)"/>
<wire from="(1330,350)" to="(1330,400)"/>
<wire from="(720,240)" to="(750,240)"/>
<wire from="(80,640)" to="(160,640)"/>
<wire from="(160,640)" to="(240,640)"/>
<wire from="(1120,240)" to="(1150,240)"/>
<wire from="(240,640)" to="(320,640)"/>
<wire from="(320,640)" to="(400,640)"/>
<wire from="(360,120)" to="(440,120)"/>
<wire from="(490,70)" to="(490,120)"/>
<wire from="(200,380)" to="(1300,380)"/>
<wire from="(560,640)" to="(640,640)"/>
<wire from="(470,590)" to="(470,780)"/>
<wire from="(640,640)" to="(720,640)"/>
<wire from="(720,640)" to="(800,640)"/>
<wire from="(800,640)" to="(880,640)"/>
<wire from="(880,640)" to="(960,640)"/>
<wire from="(960,640)" to="(1040,640)"/>
<wire from="(1200,180)" to="(1310,180)"/>
<wire from="(1150,220)" to="(1150,240)"/>
<wire from="(1270,550)" to="(1500,550)"/>
<wire from="(470,820)" to="(470,830)"/>
<wire from="(1070,220)" to="(1070,250)"/>
<wire from="(380,790)" to="(500,790)"/>
<wire from="(1370,310)" to="(1370,400)"/>
<wire from="(350,220)" to="(350,230)"/>
<wire from="(990,220)" to="(990,250)"/>
<wire from="(830,220)" to="(830,250)"/>
<wire from="(430,220)" to="(430,240)"/>
<wire from="(110,220)" to="(110,240)"/>
<wire from="(190,220)" to="(190,240)"/>
<wire from="(920,100)" to="(920,190)"/>
<wire from="(590,220)" to="(590,250)"/>
<wire from="(1230,220)" to="(1230,230)"/>
<wire from="(510,220)" to="(510,250)"/>
<wire from="(200,100)" to="(200,190)"/>
<wire from="(910,220)" to="(910,240)"/>
<wire from="(1310,220)" to="(1310,230)"/>
<wire from="(270,220)" to="(270,250)"/>
<wire from="(540,50)" to="(1160,50)"/>
<wire from="(1040,180)" to="(1150,180)"/>
<wire from="(1160,50)" to="(1160,190)"/>
<wire from="(670,220)" to="(670,240)"/>
<wire from="(50,160)" to="(50,190)"/>
<wire from="(750,220)" to="(750,240)"/>
<wire from="(1200,590)" to="(1200,640)"/>
<wire from="(1280,590)" to="(1280,640)"/>
<wire from="(1040,590)" to="(1040,640)"/>
<wire from="(1120,590)" to="(1120,640)"/>
<wire from="(610,830)" to="(630,830)"/>
<wire from="(840,300)" to="(1380,300)"/>
<wire from="(330,230)" to="(350,230)"/>
<wire from="(520,150)" to="(520,190)"/>
<wire from="(160,590)" to="(160,640)"/>
<wire from="(240,590)" to="(240,640)"/>
<wire from="(80,590)" to="(80,640)"/>
<wire from="(400,590)" to="(400,640)"/>
<wire from="(440,70)" to="(440,120)"/>
<wire from="(320,590)" to="(320,640)"/>
<wire from="(920,190)" to="(930,190)"/>
<wire from="(720,590)" to="(720,640)"/>
<wire from="(560,590)" to="(560,640)"/>
<wire from="(510,780)" to="(510,830)"/>
<wire from="(640,590)" to="(640,640)"/>
<wire from="(960,590)" to="(960,640)"/>
<wire from="(800,590)" to="(800,640)"/>
<wire from="(280,370)" to="(1310,370)"/>
<wire from="(880,590)" to="(880,640)"/>
<comp lib="6" loc="(787,150)" name="Text">
<a name="text" val="C7"/>
</comp>
<comp lib="6" loc="(470,161)" name="Text">
<a name="text" val="C11"/>
</comp>
<comp lib="1" loc="(870,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="0" loc="(620,850)" name="Splitter">
<a name="facing" val="north"/>
<a name="fanout" val="16"/>
<a name="incoming" val="16"/>
</comp>
<comp lib="0" loc="(1450,420)" name="Pin">
<a name="facing" val="north"/>
<a name="width" val="16"/>
<a name="tristate" val="false"/>
</comp>
<comp loc="(670,190)" name="FA"/>
<comp lib="0" loc="(1420,640)" name="Pin">
<a name="facing" val="west"/>
<a name="tristate" val="false"/>
</comp>
<comp lib="6" loc="(705,112)" name="Text"/>
<comp lib="0" loc="(620,860)" name="Pin">
<a name="facing" val="north"/>
<a name="width" val="16"/>
<a name="tristate" val="false"/>
</comp>
<comp loc="(990,190)" name="FA"/>
<comp lib="6" loc="(384,171)" name="Text">
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</comp>
<comp lib="6" loc="(32,49)" name="Text">
<a name="text" val=" overflow "/>
</comp>
<comp lib="1" loc="(390,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp loc="(830,190)" name="FA"/>
<comp lib="6" loc="(937,159)" name="Text">
<a name="text" val="C5"/>
</comp>
<comp lib="6" loc="(705,175)" name="Text">
<a name="text" val="C8"/>
</comp>
<comp lib="1" loc="(1110,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp loc="(510,190)" name="FA"/>
<comp loc="(1070,190)" name="FA"/>
<comp loc="(110,190)" name="FA"/>
<comp loc="(350,190)" name="FA"/>
<comp lib="6" loc="(1424,477)" name="Text">
<a name="text" val="A15-A1"/>
</comp>
<comp lib="0" loc="(40,80)" name="Pin">
<a name="facing" val="south"/>
<a name="output" val="true"/>
<a name="labelloc" val="east"/>
</comp>
<comp lib="0" loc="(1450,420)" name="Splitter">
<a name="facing" val="north"/>
<a name="fanout" val="16"/>
<a name="incoming" val="16"/>
</comp>
<comp lib="1" loc="(1270,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="6" loc="(237,48)" name="Text">
<a name="text" val="S15-S1"/>
</comp>
<comp lib="6" loc="(1181,171)" name="Text">
<a name="text" val="C2"/>
</comp>
<comp lib="1" loc="(1030,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="1" loc="(230,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp loc="(750,190)" name="FA"/>
<comp lib="6" loc="(1026,170)" name="Text">
<a name="text" val="C4"/>
</comp>
<comp lib="1" loc="(950,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp loc="(590,190)" name="FA"/>
<comp lib="6" loc="(310,160)" name="Text">
<a name="text" val="C13"/>
</comp>
<comp lib="6" loc="(1102,183)" name="Text">
<a name="text" val="C3"/>
</comp>
<comp lib="1" loc="(480,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="1" loc="(150,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="6" loc="(712,109)" name="Text"/>
<comp loc="(1150,190)" name="FA"/>
<comp lib="6" loc="(229,180)" name="Text">
<a name="text" val="C!4"/>
</comp>
<comp lib="0" loc="(400,50)" name="Splitter">
<a name="facing" val="south"/>
<a name="fanout" val="16"/>
<a name="incoming" val="16"/>
</comp>
<comp lib="1" loc="(40,120)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="6" loc="(13,165)" name="Text">
<a name="text" val="C16"/>
</comp>
<comp lib="0" loc="(340,50)" name="Pin">
<a name="output" val="true"/>
<a name="width" val="16"/>
<a name="labelloc" val="east"/>
</comp>
<comp lib="1" loc="(710,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="1" loc="(310,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp loc="(270,190)" name="FA"/>
<comp lib="6" loc="(541,175)" name="Text">
<a name="text" val="C10"/>
</comp>
<comp lib="6" loc="(1261,179)" name="Text">
<a name="text" val="C1"/>
</comp>
<comp loc="(1230,190)" name="FA"/>
<comp lib="6" loc="(863,171)" name="Text">
<a name="text" val="C6"/>
</comp>
<comp loc="(190,190)" name="FA"/>
<comp loc="(910,190)" name="FA"/>
<comp loc="(1310,190)" name="FA"/>
<comp lib="1" loc="(70,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="1" loc="(630,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp loc="(430,190)" name="FA"/>
<comp lib="1" loc="(1190,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="6" loc="(145,167)" name="Text">
<a name="text" val="C15"/>
</comp>
<comp lib="1" loc="(550,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="6" loc="(692,882)" name="Text">
<a name="text" val="B15-B1"/>
</comp>
<comp lib="1" loc="(790,550)" name="XOR Gate">
<a name="facing" val="north"/>
<a name="size" val="30"/>
<a name="inputs" val="3"/>
</comp>
<comp lib="6" loc="(633,157)" name="Text">
<a name="text" val="C9"/>
</comp>
</circuit>
<circuit name="FA">
<a name="circuit" val="FA"/>
<a name="clabel" val=""/>
<a name="clabelup" val="east"/>
<a name="clabelfont" val="SansSerif plain 12"/>
<wire from="(790,670)" to="(790,680)"/>
<wire from="(810,380)" to="(810,390)"/>
<wire from="(380,260)" to="(380,390)"/>
<wire from="(390,610)" to="(390,620)"/>
<wire from="(370,440)" to="(370,640)"/>
<wire from="(550,310)" to="(550,380)"/>
<wire from="(440,260)" to="(560,260)"/>
<wire from="(390,610)" to="(830,610)"/>
<wire from="(790,640)" to="(790,670)"/>
<wire from="(720,320)" to="(720,350)"/>
<wire from="(720,350)" to="(720,380)"/>
<wire from="(700,380)" to="(700,600)"/>
<wire from="(440,230)" to="(440,260)"/>
<wire from="(420,230)" to="(420,260)"/>
<wire from="(370,640)" to="(790,640)"/>
<wire from="(380,260)" to="(420,260)"/>
<wire from="(570,310)" to="(570,350)"/>
<wire from="(570,350)" to="(720,350)"/>
<wire from="(550,380)" to="(700,380)"/>
<wire from="(480,600)" to="(700,600)"/>
<wire from="(830,450)" to="(830,610)"/>
<wire from="(390,440)" to="(390,610)"/>
<wire from="(720,380)" to="(810,380)"/>
<wire from="(430,140)" to="(430,180)"/>
<wire from="(830,610)" to="(830,670)"/>
<wire from="(790,450)" to="(790,640)"/>
<wire from="(710,140)" to="(710,260)"/>
<wire from="(700,320)" to="(700,380)"/>
<wire from="(480,600)" to="(480,660)"/>
<comp lib="6" loc="(481,696)" name="Text">
<a name="text" val="ci"/>
</comp>
<comp lib="1" loc="(810,390)" name="XOR Gate">
<a name="facing" val="north"/>
</comp>
<comp lib="0" loc="(480,660)" name="Pin">
<a name="facing" val="north"/>
<a name="tristate" val="false"/>
</comp>
<comp lib="6" loc="(829,706)" name="Text">
<a name="text" val="bi"/>
</comp>
<comp lib="1" loc="(380,390)" name="AND Gate">
<a name="facing" val="north"/>
</comp>
<comp lib="6" loc="(430,113)" name="Text">
<a name="text" val="ci+1"/>
</comp>
<comp lib="6" loc="(786,706)" name="Text">
<a name="text" val="ai"/>
</comp>
<comp lib="0" loc="(430,140)" name="Pin">
<a name="facing" val="south"/>
<a name="output" val="true"/>
<a name="labelloc" val="north"/>
</comp>
<comp lib="0" loc="(710,140)" name="Pin">
<a name="facing" val="south"/>
<a name="output" val="true"/>
<a name="labelloc" val="north"/>
</comp>
<comp lib="1" loc="(430,180)" name="OR Gate">
<a name="facing" val="north"/>
</comp>
<comp lib="6" loc="(709,110)" name="Text">
<a name="text" val="si"/>
</comp>
<comp lib="0" loc="(830,670)" name="Pin">
<a name="facing" val="north"/>
<a name="tristate" val="false"/>
</comp>
<comp lib="1" loc="(710,260)" name="XOR Gate">
<a name="facing" val="north"/>
</comp>
<comp lib="1" loc="(560,260)" name="AND Gate">
<a name="facing" val="north"/>
</comp>
<comp lib="0" loc="(790,670)" name="Pin">
<a name="facing" val="north"/>
<a name="tristate" val="false"/>
</comp>
</circuit>
</project>
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