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Rod Logic 1-bit Full Adder in LEGO - The Half-Baked Maker

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<strong>Rod</strong> <strong>Logic</strong> 1-<strong>bit</strong> <strong>Full</strong> <strong>Adder</strong><br />

<strong>in</strong> <strong>LEGO</strong><br />

v1.0 – 13 Dec 2009<br />

halfbakedmaker.org


5x<br />

2<br />

3<br />

2x 7<br />

12x 9<br />

48x<br />

4x<br />

4x<br />

17x<br />

Parts List<br />

11<br />

13<br />

15<br />

46x<br />

70x<br />

222x<br />

10x<br />

24x<br />

Perpendicular Axle Jo<strong>in</strong>er<br />

Axle P<strong>in</strong> with Friction<br />

P<strong>in</strong> with Friction<br />

Long P<strong>in</strong> with Friction<br />

Bush<br />

Of the length 15 beams, try to<br />

get 3 <strong>in</strong> a bright color, 7 <strong>in</strong> a<br />

different bright color, and 2 <strong>in</strong> a<br />

third bright color.<br />

<strong>The</strong> best place to get the specific <strong>LEGO</strong> pieces you want is brickl<strong>in</strong>k.com. <strong>The</strong><br />

most common colors are black, light gray, and dark gray.<br />

Get extras!


Subassembly:<br />

Small Side Wall<br />

(build 4)


Subassembly:<br />

Large Side Wall<br />

(build 4)


Turn it around for<br />

the next step.


2x<br />

Short Side Wall<br />

Subassembly:<br />

Module<br />

(build 2)


Axle p<strong>in</strong>s on top, regular<br />

p<strong>in</strong>s on the bottom.


2x<br />

Long Side Wall


1x<br />

Module<br />

Subassembly:<br />

2x1 Module<br />

(build 1)


Axle p<strong>in</strong> here and<br />

on the back side.


1x<br />

Module


P<strong>in</strong>s here and on<br />

the back side.


Beam here and on<br />

the back side.


Subassembly:<br />

Input <strong>Rod</strong> A<br />

(build 1)


Axle p<strong>in</strong><br />

Axle p<strong>in</strong>


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free 1. Connector<br />

2. Stop bush 2. Empty<br />

3. Empty 3. Empty<br />

4. Empty 4. 0 •<br />

5. 0 5. 1<br />

6. 1 • 6. 0 •<br />

7. 0 7. 1<br />

8. 1 • 8. 0<br />

9. 0 • 9. 1 •<br />

10. 1 10. Not used (0)<br />

11. 0 • 11. Not used (1)<br />

12. 1 12. Empty<br />

13. Empty 13. Empty<br />

14. Empty 14. Stop bush<br />

15. Connector 15. Free


Subassembly:<br />

Input <strong>Rod</strong> B<br />

(build 1)


Axle p<strong>in</strong><br />

Axle p<strong>in</strong>


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free 1. Connector<br />

2. Stop bush 2. Empty<br />

3. Empty 3. Empty<br />

4. Empty 4. 0 •<br />

5. 0 5. 1<br />

6. 1 • 6. 0<br />

7. 0 • 7. 1 •<br />

8. 1 8. 0 •<br />

9. 0 9. 1<br />

10. 1 • 10. Not used (0)<br />

11. 0 • 11. Not used (1)<br />

12. 1 12. Empty<br />

13. Empty 13. Empty<br />

14. Empty 14. Stop bush<br />

15. Connector 15. Free


Subassembly:<br />

Input <strong>Rod</strong> C<strong>in</strong><br />

(build 1)


Axle p<strong>in</strong><br />

Axle p<strong>in</strong>


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free 1. Connector<br />

2. Stop bush 2. Empty<br />

3. Empty 3. Empty<br />

4. Empty 4. 0<br />

5. 0 • 5. 1 •<br />

6. 1 6. 0 •<br />

7. 0 7. 1<br />

8. 1 • 8. 0 •<br />

9. 0 9. 1<br />

10. 1 • 10. Not used (0)<br />

11. 0 • 11. Not used (1)<br />

12. 1 12. Empty<br />

13. Empty 13. Empty<br />

14. Empty 14. Stop bush<br />

15. Connector 15. Free


Subassembly:<br />

Intermediate <strong>Rod</strong> for S<br />

(build 3)


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free<br />

2. Stop bush<br />

3. Empty<br />

4. Empty<br />

5. 0 (top) • sense (bottom) •<br />

6. 1 (top)<br />

7. 0 (top) sense (bottom) •<br />

8. 1 (top)<br />

9. 0 (top) sense (bottom) •<br />

10. 1 (top)<br />

11. Not used<br />

12. Not used<br />

13. Empty<br />

14. Stop bush<br />

15. Free


Subassembly:<br />

Intermediate <strong>Rod</strong> for<br />

S/Cout<br />

(build 1)


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free<br />

2. Stop bush<br />

3. Empty<br />

4. Empty<br />

5. 0 (top) • sense (bottom) •<br />

6. 1 (top)<br />

7. 0 (top) • sense (bottom) •<br />

8. 1 (top)<br />

9. 0 (top) sense (bottom) •<br />

10. 1 (top)<br />

11. Not used<br />

12. Not used<br />

13. Empty<br />

14. Stop bush<br />

15. Free


Subassembly:<br />

Intermediate <strong>Rod</strong> for Cout<br />

(build 3)


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free<br />

2. Stop bush<br />

3. Empty<br />

4. Empty<br />

5. 0 (top) sense (bottom) •<br />

6. 1 (top)<br />

7. 0 (top) • sense (bottom) •<br />

8. 1 (top)<br />

9. 0 (top) sense (bottom) •<br />

10. 1 (top)<br />

11. Not used<br />

12. Not used<br />

13. Empty<br />

14. Stop bush<br />

15. Free


Subassembly:<br />

Output <strong>Rod</strong><br />

(build 2)


This is the end to<br />

push. You could<br />

mark it with<br />

another bush.<br />

<strong>The</strong> p<strong>in</strong> positions determ<strong>in</strong>e the logic! From<br />

left to right, the function of each hole is:<br />

1. Free 1. Connector<br />

2. Stop bush 2. Empty<br />

3. Empty 3. Empty<br />

4. Empty 4. sense •<br />

5. sense • 5. Empty<br />

6. Empty 6. sense •<br />

7. sense • 7. Empty<br />

8. Empty 8. sense •<br />

9. sense • 9. Empty<br />

10. Empty 10. Not used<br />

11. sense • 11. Not used<br />

12. Empty 12. Empty<br />

13. Empty 13. Empty<br />

14. Empty 14. Stop bush<br />

15. Connector 15. Free


Subassembly:<br />

Short Side Stop<br />

(build 4)


Subassembly:<br />

Long Side Stop<br />

(build 4)


1x<br />

2x1 Module<br />

Ma<strong>in</strong> Assembly:<br />

<strong>Full</strong> <strong>Adder</strong>


1x<br />

Input <strong>Rod</strong> A<br />

<strong>The</strong> ends to push go on<br />

this side.


1x<br />

Input <strong>Rod</strong> B


1x<br />

Input <strong>Rod</strong> C<strong>in</strong>


2x<br />

Short Side<br />

Stop<br />

You might f<strong>in</strong>d it easier to <strong>in</strong>stall<br />

these if you first remove the stop<br />

bushes from the rods.


3x<br />

Intermediate <strong>Rod</strong><br />

for S<br />

<strong>The</strong> ends to push go on<br />

this side.


1x<br />

Intermediate <strong>Rod</strong><br />

for S/Cout


3x<br />

Intermediate <strong>Rod</strong><br />

for Cout


4x<br />

Long Side<br />

Stop<br />

You might f<strong>in</strong>d it easier to <strong>in</strong>stall<br />

these if you first remove the stop<br />

bushes from the rods.<br />

Double-check the logic now! Check that<br />

each <strong>in</strong>termediate rod can be pushed only<br />

if its <strong>in</strong>put comb<strong>in</strong>ation is set.


2x<br />

<strong>The</strong> ends to push go on<br />

this side.<br />

Output <strong>Rod</strong>


2x<br />

Short Side<br />

Stop

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