1
GATE ECE 2025
Numerical
+1
-0
The generator matrix of a $(6,3)$ binary linear block code is given by
$$ G=\left[\begin{array}{llllll} 1 & 0 & 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1 & 1 & 0 \end{array}\right] $$
The minimum Hamming distance $d_{\min }$ between codewords equals___________ (answer in integer).
Your input ____
2
GATE ECE 2024
Numerical
+1
-0
A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is _______ .
Your input ____
3
GATE ECE 2017 Set 1
Numerical
+1
-0
Let $$\left( {{X_1},\,{X_2}} \right)$$ be independent random variables, $${X_1}$$ has mean 0 and variance 1, while $${X_2}$$ has mean 1 and variance 4. The mutual information I $$\left( {{X_1},\,{X_2}} \right)$$ between $${{X_1}}$$ and $${{X_2}}$$ in bits is ________________.
Your input ____
4
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memory less binary symmetric channel with crossover probability P?
A
B
C
D
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics