# Search results

1. ### Up/Down Counter-Escaping from redundant states

I am designing a Up/Down Gray code counter that has two redundant dont care conditions. The problem is I have no idea how to ensure the counter escapes from the redundant states. How do I work out where the redundant states should point too?
2. ### Complex fourier series

Homework Statement Solve \frac{1}{1} \int^{0}_{-1} -t e^{-j2\pi*nt}dt Homework Equations So I use integration by parts u = -t and dv = e^{-j2\pi*nt} , du= -1 and v = \frac{1}{-j2\pi*n}e^{-j2\pi*nt} The Attempt at a Solution after integration by parts I get: \frac{e^-j2\pi*nt}{j2pi*n} +...
3. ### Non-homogeneous laplace

Hi, I can solve homogeneous laplace fine, but with RHS i get stuck half way through. Q: y' +3y = 8e^{t} y(0) = 2 Working as if it was homogeneous.. sY(s) - 2 + 3Y(s) = 8 . \frac{1}{s-1} Y(s) (s+3) - 2 = 8 . \frac{1}{s-1} I think the next step is Y(s) = \frac{2}{s+3} +...
4. ### Non-homogeneous laplace

Hi, I can solve homogeneous laplace fine, but with RHS i get stuck half way through. Q: y' +3y = 8e^{t} y(0) = 2 Working as if it was homogeneous.. sY(s) - 2 + 3Y(s) = 8 . \frac{1}{s-1} Y(s) (s+3) - 2 = 8 . \frac{1}{s-1} I think the next step is Y(s) = \frac{2}{s+3} +...
5. ### Laplace splitting fraction

Basically I don't know how F(s) can be split up to below. F(s) = \frac{1}{s^{2}(s-2)} = \frac{1}{4} ( - \frac{1}{s} - 2 \frac{1}{s^{2}} + \frac{1}{s-2} ) I thought it would be 1/s^2 - 1 / s-2 How does this work? Please explain. thanks