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1. 3-input AND - NAND equivalent?

i figured it out thanks to oxygen's logic...I checked all 32 combinations for all the letters related to the problem...and all of the outputs came out correct. final condensed form: c(de + da + ab) + b(ae + de) heres my diagram:
2. 3-input AND - NAND equivalent?

original form: ##ab \bar ce## + ##b \bar cde## + ##cde## + ##abc## + ##acd \bar e## condensed form: ##b \bar c(ae + de)## + ##c(de + ab + ad \bar e)## partial circuit diagram using NANDS ##c(de + ab + ad \bar e)##: I made that portion with 7 NANDS...I still have to finish the ##b \bar...
3. 3-input AND - NAND equivalent?

I changed the above post...it should be tilde symbols ~ for "not".
4. 3-input AND - NAND equivalent?

thank you. I have one more expression for practice problems: ab~ce + b~cde + cde + abc + acd~e (The ~ symbol represent "not") I'm supposed to do this expression in 12 gates. I currently have the last 3 condensed to: c(de + ab + ad~e) The first two: b~ce(a + d) so the final...
5. 3-input AND - NAND equivalent?

Here is what I got....this is a practice problem to prepare for a midterm, but I would like to see how you used 6 NAND gates. http://img827.imageshack.us/img827/7766/schematic.jpg [Broken]
6. 3-input AND - NAND equivalent?

I'm trying to convert this expression: ga + za + sgz using just 2-input nand gates...more specifically the 7400 ic chip. I'm trying to use as little NAND gates as possible. I've got (ga + za) down to 5 NAND gates currently...I can only use 8 total NANDS for this.
7. 3-input AND - NAND equivalent?

Homework Statement I'm trying to convert the 3-input AND gate shown below using only NAND gates...but am having troubles. Is it possible to use only 2 NANDS for the conversion? http://www.doctronics.co.uk/images/4081_03.gif [Broken]
8. Building a solenoid need advice

I'm intending on creating a solenoid that will project a bb for a class project. I'm using a flash capacitor from a disposable camera as my current source. Here is my question...what is the best "setup" for the solenoid to increase the magnetic force on the bb without increasing its current...
9. 2-d kinematic w/non-constant acceleration

yes, the force applied depends upon its position since we are dealing with electromagnetic force. It seems without an equation given...I would have to calculate the variables separately per second, which won't be as accurate.
10. 2-d kinematic w/non-constant acceleration

Homework Statement I'm not sure how to set up the differential equation. I've got 2 point charges...both positive. One charge is fixed in position (0, -250m)...the other is travelling at an initial speed in the -x direction (10,000m, 0) with 0 acceleration. At time t=0, I calculated the...
11. 2-d kinematic question

thanks i see how to do it now.
12. 2-d kinematic question

Homework Statement Lets say I have a .5kg mass traveling at 1200 m/s in the -x direction with 0 acceleration. The force applied to this mass is (2.3i + .093j)N. I have to find position, velocity, and acceleration at say 1 second after the force is applied. No gravitational force involved...
13. Kinematic question

yeah i see what i did...thanks.
14. Kinematic question

nevermind i got it.
15. Kinematic question

Homework Statement A water balloon takes .22 s to cross the 130 cm high window, from what height above the top of the window was it dropped? The Attempt at a Solution I'm using: v^2 = vo^2 + 2a(x - xo) v = distance/time v = 1.30 m / .22 s = 5.91 m/s (5.91 m/s)^2 = 0 +...
16. Simple velocity question

thanks i got it now...I just started 8 days ago...so this is all new to me. c = 3 21 = t^2 + c 18 = t^2 t = 4.2 s
17. Simple velocity question

ok so...if you integrate a(t) = 2t...just becomes v(t) = t^2... v = vo + at would this be the correct approach? 21 m/s = 3 m/s + 2t(t) 18 m/s = 2t^2 9 m/s = t^2 3 seconds = t
18. Simple velocity question

i understand it goes x(t) = position x'(t) = velocity x''(t) = acceleration to get the velocity from the acceleration just integrate...i understand that...but setting up the problem is the thing i'm having difficulty with even though it is something simple...the thing that makes me...
19. Simple velocity question

ok...where does the initial velocity get plugged into that equation though. When you integrate dont you just get 1/2*at^2 I got caught up on the cubed part of the acceleration...because im used to seeing it squared...like 9.8 m/s ^2.
20. Simple velocity question

Homework Statement An object is traveling in a straight line with an initial velocity of 3 m/s and an acceleration a(t) = st, where s = 2 m/s ^3 and t is measured in seconds. Find a time T such that v(T) = 21 m/s. I wanted to use v = vo + at ... to find t...but the function of a(t) is...
21. Simple integral question

thanks guys...i knew it was something simple. The original problem was: \int(csc^4 3\theta)(tan^4 3\theta) simplified this to: \int\sec^4 3\theta and now i know how easy the rest was.
22. Simple integral question

Homework Statement \int\sec^4 3\theta
23. Polar equation problem

yes, this is what I initially had... \theta + sin2\theta = \frac{-2}{cos\theta} but got stuck on finding \theta
24. Polar equation problem

Homework Statement Using this polar equation: r = \theta + sin(2\theta) Find the angle \theta that relates to the point on the curve when x = -2 I'm not sure where to start...but my guess is to convert the equation to another form...any help is appreciated.
25. Integral problem

yep...i just concluded guys that I was inputting the equation wrong into my calculator...4.38 is the right answer and i was doing it right by hand all along...what a relief. I have one more question though... how do I find the angle at which the graph is at x = -2 ?
26. Integral problem

I'm attempting to solve this area problem 1/2\int_{0}^{\pi }(\theta + sin2\theta)^2 d\theta} The area found by my calculator comes out to be 4.93...but by hand I get 4.38 The original polar equation: r = \theta + sin(2\theta) from 0 to pi. I think it may by the use of my input...
27. Integral problem

\theta^2 + 2\theta\sin2\theta + sin^2(2\theta) after integrating.... \frac{1}{3}\theta^3-\theta\cos2\theta+ 1/2sin2\theta + \frac{1}{2}\theta - \frac{1}{8}sin4\theta i forgot to integrate the last part...but this still doesn't seem correct
28. Integral problem

i know sin2\theta trig identity is 2sin\theta\cos\theta u = 2\theta du = 2d\theta dv = sin2\theta dv = 2sin\theta\cos\theta this is where i get stuck
29. Integral problem

Homework Statement trying to integrate this...the second term is the difficult one here. \theta^2 + 2\theta\sin2\theta + sin^2(2\theta) The Attempt at a Solution I attempted the problem and ended up with this but it doesnt seem right...
30. Polar equation problems

any help at integrating this? 2\theta\sin2\theta