1
GATE ECE 2024
Numerical
+1
-0

In a number system of base $r$, the equation $x^2 - 12x + 37 = 0$ has $x = 8$ as one of its solutions. The value of $r$ is _______.

Your input ____
2
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33

A digital transmission system uses a $(7,4)$ systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-code word pairs in this code ( $m_i ; c_i$ ). Where $c_i$ is the codeword corresponding to the $i^{\text {th }}$ message $m_i$, are known to be $(1100 ; 0101100),(1110 ; 001 1110)$ and $(0110 ; 1000110)$, then which of the following is a valid codeword in this code?

A

1101001

B

1011010

C

0110100

D

0001011

3
GATE ECE 2014 Set 2
Numerical
+1
-0
The number of bytes required to represent the decimal number 1856357 in packed BCD (Binary Coded Decimal) form is __________ .
Your input ____
4
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits is:
A
100111
B
001000
C
000111
D
101001

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