GATE ECE, solved properly.
Every question here is worked end to end with no skipped steps - the algebra you would have to fill in yourself from a coaching book is written out. Attempt first, then reveal the derivation. Free, no signup, no PDF downloads.
Browse by subject
Digital Circuits
Number systems, combinational and sequential logic, flip-flop timing, counters, memory, and the CMOS behind the gate symbols.
- Boolean algebra & K-maps
- MUX / decoder realisation
- Flip-flops & counters
- Setup, hold and f-max
Signals & Systems
LTI systems, convolution, Fourier and Laplace transforms, sampling and the Z-transform - the mathematical spine of the whole paper.
- LTI properties
- Convolution
- CTFT & DTFT
- Laplace transform & ROC
Network Theory
KVL and KCL, network theorems, transient and steady-state analysis, resonance and two-port parameters.
- KVL / KCL & mesh-nodal
- Thevenin & Norton
- Maximum power transfer
- RL, RC and RLC transients
Analog Circuits & EDC
Diodes and rectifiers, BJT and MOSFET biasing and small-signal models, op-amp circuits, feedback and oscillators.
- Diode circuits & rectifiers
- BJT biasing & small signal
- MOSFET operation & gm
- Single-stage amplifiers
Control Systems
Transfer functions, transient specifications, Routh-Hurwitz, root locus, Bode and Nyquist, and steady-state error.
- Transfer functions & block diagrams
- Second-order response
- Routh-Hurwitz stability
- Root locus
Communications
Amplitude and angle modulation, noise, digital modulation, and the information theory that bounds all of it.
- AM: power & efficiency
- FM & Carson bandwidth
- Sampling & PCM
- Digital modulation
Electromagnetics
Maxwell equations, plane waves, transmission lines, the Smith chart, waveguides and antennas.
- Vector calculus & Maxwell
- Plane waves & Poynting
- Transmission lines
- Reflection, VSWR & matching
Engineering Mathematics
Linear algebra, calculus, differential equations, complex analysis, probability and numerical methods.
- Matrices & eigenvalues
- Vector calculus
- Complex analysis & residues
- Differential equations
How to use this portal
| Step | What to do | Why |
|---|---|---|
| 1 | Attempt the question before revealing anything | Active recall beats re-reading. Picking an option locks in your answer so you find out whether you were right, not whether it looks familiar |
| 2 | Reveal and read every step, even the ones you think you know | Most lost marks are arithmetic and unit slips, not concepts. The steps are written out so you can find exactly where you diverged |
| 3 | Read the common trap on every question | Each one names the specific wrong answer the question is built to produce. That is usually the option you nearly picked |
| 4 | Come back a week later and redo it cold | Your progress is stored in this browser, so you can see which ones you have actually got right |