Question

3.4.1 Build and simulate the comparator circuit shown in Figure 3, in Multisim. The inputs A3, A2, A1, 40 act as the first 4-bit binary number, and B3, B2, B1, BO act as the second 4-bit binary number. Run your circuit for different setting of the inputs as in Table 3 and observe how the output Xchecks if the numbers are equal or not. Note: connect the eight inputs of this circuit to an 8-input DIP switch as shown in the video of Lab 4. A0 A1 AZ A3 B2 B1 OOK 0 BO 81 A3 A2A1A0 B3 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 BO Output x 0 1 0 0 1 1 0 B2 1 1 1 0 83 1 1 1 0 Figure 3. Binary Comparator Circuit 1 1 1 1 1 0 Table 5. Circuit Output Record 3.4.2 Create a screen capture of your circuit using (PRTSCN) and paste it right here. Note: do not crop your screen captures, they should show your full PC screen.

Answer 1

Solution:

3.4.1 AND 3.4.2

AS CAN BE CONCLUDED FROM TABLE 5....FOR FIRST AND THE LAST COMBINATION THE INPUTS ARE SAME AND THE LED GLOWS

BINARY INPUTS IN THE ORDER A3 A2 A1 A0 B3 B2 B1 B0

0000 0000

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0010 0011

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0111 0110

X Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help | # E--- In-Use List --- + a ++ * {{- A CE: Ti / B MISCY န ၅. I ) II Interactive Design Toolbox ® ® ) G Te LG A0 B. CKT1 CKT1 U1A B 74LS26D 1, Key = Space A1 | 1. Key - Space A2 1. Key Apace | 0 - Key = Space BO | 0. Key = Space U2B U5A U6A X1. း ၁ 74LS266D 74L S11D 7408N 2.5 V U3C h 74LS266D U4D D E B1 1. Key = Space B2 74LS266D THI 1, Key = Space B3 | 0. Key = Space M Hierarchy Visibility Project View CKT1 Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 45.0595

1100 0100

X 14 @@@@ File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help LBB 0 6 % E & 2 画画圆圈曾」曾 --- In-Use List --- 7 mm th #Bd Oy 2 MISC. Y Y - III Interactive Design Toolbox x Tel LE - CKT1 CKT1 中主 А0. 10 Key = Space A1 U1A 0 Key = Space A2 74LS266D U2B U5A X1 U6A 74LS266D 74LS11D 司国目 | |||| | 翻翻聞|-|-| 7408N 2.5 V U3C FAC 1 Key A$pace 1 Key - Space BO 0 Key - Space B1 | 0 Key - Space B2 1 Key = Space B3 0 Key = Space D 74LS266D U4D # 74LS266D E V Hierarchy Visibility Project View CKT1 10. Results Nets Components Copper layers Simulation Component: RefDes(A1); Value(Key = Space); Location(B1) CKT1: Simulating... Tran: 59.586 5

1101 1110

GIX Q@ga File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help GACH B% E @ 回圈曾」 --- In-Use List --- + m the + B dow Y XO ILI Interactive Design Toolbox MISC ♡ A WV Jou IT А0. CKT1 CKT1 1 Key = Space A1 0 Key = Space U1A LA2 74LS266D 1 Key A$pace U2B USA X1 U6A 1 Key = Space 74LS266D 74L S11D 7408N BO 2.5 V U3C 0 Key = Space 74LS266D D B1 U4D 74LS266D 1 Key - Space B2 1 Key = Space B3 1 Key = Space Hierarchy Visibility Project View CKT1 o Results Nets Components Copper layers Simulation Component: RefDes(A1); Value(Key = Space); Location(B1) CKT1: Simulating... Tran: 74.1095

1110 1110

X --- U @ge File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help LBB 0 6 % E & 2 画画画幽幽」曾 -- In-Use List --- 7 mm th #Bd Oy 2 MISC. Y Y MX @ Pos III Interactive Design Toolbox x A А0. Tel LE 0 - CKT1 Key = Space CKT1 A1 1 U1A Key = Space A2 74LS266D 1 Key Apace U2B 1 Key = Space 74LS266D BO U3C B U5A U6A X1 74L S11D 7408N 2.5 V ENDELEIRITION 12 0 Key - Space D B1 74LS266D U4D FAC 1 Key = Space B2 # 74LS266D #K 1 Key = Space B3 1 Key = Space V Hierarchy Visibility Project View CKT1 10. Results Nets Components Copper layers Simulation CKT1: Simulating... Iran: 2.686 5 TIITTTT

TABLE 5

Table Azt tq A A to Х colo B2 B, Bo c 0 0 0 o 0 0 o 0 0 0 0 . o » 0 / / o 0 / 0 o o // 0 0 0 ,, ol / 0 0 // / 0 1 0

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PART 3.5.1 AND 3.5.2

OUTPUTS

X3 X2 X1 X0 FOR  

D1 = 0 AND

A3 A2 A1 A0 = 0000

6X @@SE File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 0 6 % E & 2 园画回留」曾 -- In-Use List --- + m + the Budoy B Y 0-0 Interactive Design Toolbox MISC V W Uy V A Te B D1 - CKT1 CKT1 XORA ХО. # 0 Key = Space 7486N 2.5 V XORBA X1 А0. 7486N 2.5 V 0 Key = Space A1 @NULT EI PITTINN 12 XORCA X2 0 7486N 2.5 V X3 XORDA ALG 8 Key = Space A2 0 Key = Space A3 0 Key = Space 7486N 2.5 V Hierarchy Visibility Project View CKT1* x Results Nets Components Copper layers Simulation For Help, press F1 CKT1: Simulating... Tran: 5.780 s

A3 A2 A1 A0 = 0010

LOX HE In-Use List --- @@@@ File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 6 % Esê non + the + d Oy 8 Y 0-0 Design Toolbox + MISC II Interactive AWAY Te C B D1 - CKT1 CKT1 XORA ХО. 0 Key = Space 7486N 2.5 V XORBA X1 А0. 7486N 2.5 V 0 Key = Space A1 110: 1 MEIRITION 0111 XORCA X2 1 Key = Space 7486N 2.5 V X3 A2 XORDA E 7486N 0 Key = Space A3 0 Key = Space 2.5 V Hierarchy Visibility Project View CKT1* Results Nets Components Copper layers Simulation For Help, press F1 CKT1: Simulating... Tran: 1.849 5

A3 A2 A1 A0 = 0111

6 X QO@ga Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help OR % 7. PMS * --- In-Use List --- the 3 Bed or 2 MISC. Y M- YX Interactive Design Toolbox Jol В Gwo Te CKT1 CKT1 D1 XORA XO EL 0 Key = Space 7486N 2.5 V XORBA X1 АО 7486N 2.5 V Key = Space A1 XORCA X2 1 Key = Space 7486N 2.5 V X3 A2 XORDA E 7486N 2.5 V Key = Space A3 0 Key = Space . Hierarchy Visibility Project View CKT1* Results Nets Components Copper layers Simulation For Help, press F1 CKT1: Simulating... Tran: 12.897 s

A3 A2 A1 A0 = 1100

6 X QO@ga Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help OR % 7. PMS * --- In-Use List --- the 3 Bed or 2 MISC. Y M- YX Interactive Design Toolbox Jol В Gwo Te CKT1 CKT1 D1 XORA XO EL 0 Key = Space 7486N 2.5 V XORBA X1 7486N 2.5 V АО 0 Key = Space A1 0 Key = Space XORCA X2 7486N 2.5 V X3 A2 XORDA E Key = Space A3 7486N 2.5 V 1 Key = Space Hierarchy Visibility Project View CKT1* Results Nets Components Copper layers Simulation For Help, press F1 CKT1: Simulating... Tran: 17.9885

A3 A2 A1 A0 = 1101

@ge File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 6% Po !! 圆圈唱」曾 --- In-Use List --- NB 0 2 OMISC Y 0-0 Interactive Design Toolbox + n JO uty B Do Te CKT1 CKT1 D1 XORA ХО. 0 Key = Space 7486N 2.5 V XORBA X1 А0 1 7486N 2.5 V X2 XORCA Key = Space A1 0 Key = Space 7486N 2.5 V X3 A2 XORDA 1 E 7486N 2.5 V Key = Space A3 1 Key = Space < Hierarchy Visibility Project View CKT1* 6 . Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 25.4375

A3 A2 A1 A0 = 1110

P File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 6 X 7. 110 --- In-Use List --- V @@SE + Y 40 III Interactive W ty 0 mm # the IB Qoy 6 Oy B MISE Design Toolbox x B Vol UT D1 XORA хо. - CKT1 CKT1 0 Key = Space 7486N 2.5 V XORBA X1 А0. 0 7486N 2.5 V XORCA X2 D Key = Space A1 1 Key = Space 7486N 2.5 V X3 XORDA B UN A2 1. Key = Space A3 1 Key = Space 7486N 2.5 V Hierarchy Visibility Project View CKT1 * 0 Results Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 44.005 s

OUTPUTS

X3 X2 X1 X0 FOR

D1 = 1 AND  

A3 A2 A1 A0 = 0000

X @ @go File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help LBB 0 6 % E & 2 画面 回留曾」曾 In-Use List --- the # Boy 2 MISC. Y Y - X0 Interactive Design Toolbox x 10 В Tel ХО. XORA - CKT1 CKT1 D1 1 Key = Space # 7486N 2.5 V XORBA X1 7486N 2.5 V А0. 0 Key = Space A1 XORCA X2 0 Key = Space 7486N 2.5 V X3 A2 XORDA 0 8 E Key = Space A3 7486N 2.5 V 0 Key = Space Hierarchy Visibility Project View CKT1 Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 68.471 s

A3 A2 A1 A0 = 0010

File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 品館 關西 --- In-Use List --- QO@ge II D Interactive ♡ WV v + win By B Misc... Design Toolbox В O, Te D1 ХО XORA ► CKT1 卧 CKT1 Key = Space 7486N M 2.5 V X1 . XORBA А0. 7486N 2.5 V Key = Space A1 XORCA X2 D Key = Space 7486N 2.5 V X3 A2 XORDA 7486N 0 Key = Space A3 0 Key = Space 2.5 V Hierarchy Visibility Project View CKT1* Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 61.722 s

A3 A2 A1 A0 = 0111

Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help Te #* --- In-Use List --- + + 长兴兴要 BMISE -M- I III Interactive Design Toolbox ♡ AWA B Te D1 XORA ХО - CKT1 CKT1 Key = Space 7486N 2.5 V XORBA X1 AO 7486N 2.5 V Key = Space A1 XORCA X2 D Key = Space 7486N 2.5 V X3 A2 XORDA Key = Space A3 7486N 2.5 V 0 Key = Space Hierarchy Visibility Project View CKT1* o Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 56.257 s

A3 A2 A1 A0 = 1100

Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help LOX FI In-Use List --- III Interactive ♡ W ty mo + m + the + Bed or 2 Bo Oy 2 MISC. Y Y MX0 Design Toolbox В: Te D1 XORA ХО. ► CKT1 CKT1 .... 1 Key = Space 7486N 2.5 V XORBA X1 AO 7486N 2.5 V 0 Key = Space A1 XORCA X2 EPENTIBIONIKE 11-2-3 D 0 Key = Space 7486N 2.5 V X3 A2 XORDA 1 # 7486N 2.5 V Key = Space A3 1 Key = Space Hierarchy Visibility Project View CKT1* Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 49.5975

A3 A2 A1 A0 = 1101

6 X go Eile Edit View Place MCU Simulate Transfer Tools Reports Options Window Help D OR % 2. DEM --- In-Use List --- + ++ Kh Oy the # Boy 2 MISC. Y M Y XO Interactive Design Toolbox Do Tel D1 XORA - CKT1 CKT1 Key = Space 7486N 2.5 V B Xo EL M X1 .C XORBA + 7486N 2.5 V AO 1 Key = Space A1 0 Key = Space XORCA X2 D 7486N 2.5 V X3 A2 XORDA 世 E Key = Space A3 7486N 2.5 V 1 Key = Space Hierarchy Visibility Project View CKT1* Results Nets Components Copper layers Simulation CKT1: Simulating... Tran: 31.959 s

A3 A2 A1 A0 = 1110

5 X File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 6 % in @ 國留唱」曾 te --- In-Use List --- non t th d Oy B Y 2 X Interactive go + - MISC ♡ A WV AY v mo Design Toolbox B Do Te C D1 XORA ХО. ... CKT1 CKT1 1 Key = Space 7486N 2.5 V XORBA X1 7486N 2.5 V А0. 0 Key = Space A1 XORCA X2 D 司国副翻翻|||||| |觀觀 || -||| 1 Key = Space 7486N 2.5 V X3 A2 XORDA 1 HAG 7486N 2.5 V Key = Space A3 1 Key = Space < Hierarchy Visibility Project View CKT1* 10. . Results Nets Components Copper layers Simulation For Help, press F1 CKT1: Simulating... Iran: 39.988 5

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PART 3.6

Solution 3.6 Zobo/ min terms for which x=) are 1,2, 4 and 7 x = A B C + Ā B C + ABC + ABC 3.6-2 X= Ā B C + Ã Bēt ABC TABC A *(ệc sẽ) {8C + BC = A[B9c] + 4 [ BOC) let BOC=M > x= ĀM TAM - A OM X=4 0 B 0 C (M= 8 oc)

5 X @ga File Edit View Place MCU Simulate Transfer Tools Reports Options Window Help 6 % E é WW 爾西 --- In-Use List -.. 0 k#孕獎的回应 M150 。 YAXO .S ► I. Interactive Design Toolbox Te C PY CKT1 CKT1 .-Design1 Design1 B U1A Chi U2A X1 A 0 Key - Space 7486N 7486N 2.5 V 13 11:21 HE DIFFIN TIM A .. B 0 Key = Space AG D #AG С 0 Key - Space #TR V Hierarchy Visibility Project View CKT1 Design op X Results Nets Components Copper layers Simulation Tran: 0.4225