A student is scanning his 10 inch $\times$ 10 inch certificate at 600 dots per inch (dpi) to convert it to raster. What is the percentage reduction in number of pixels if the same certificate is scanned at 300 dpi?
A function, \( \lambda \), is defined by \[ \lambda ( p,q ) = \begin{cases} (p - q)^2, & \text{if } p \geq q, \\ p + q, & \text{if } p < q. \end{cases} \] The value of the expression \( \dfrac{\lambda ( -(-3 + 2), (-2 + 3) )}{( -(-2 + 1) )} \) is:
Given two operators \( \oplus \) and \( \odot \) on numbers \( p \text{ and } q \) such that \[ p \oplus q = \frac{p^2 + q^2}{pq} \text{and} p \odot q = \frac{p^2}{q}, \] if \( x \oplus y = 2 \odot 2 \), then \( x = \)
In a 4-bit ripple counter, if the period of the waveform at the last flip-flop is 64 microseconds, then the frequency of the ripple counter in kHz is ______________. {(Answer in integer)}
Consider the following C code segment:
int x = 126, y = 105;
do {
if (x > y)
x = x - y;
else
y = y - x;
} while (x != y);
printf("%d", x);
The output of the given C code segment is ____________. (Answer in integer)
The following two signed 2’s complement numbers (multiplicand \( M \) and multiplier \( Q \)) are being multiplied using Booth’s algorithm:
| Multiplicand (\( M \)) | Multiplier (\( Q \)) |
|---|---|
| 1100 1101 1110 1101 | 1010 0100 1010 1010 |
The total number of addition and subtraction operations to be performed is __________. (Answer in integer)
The maximum value of \(x\) such that the edge between the nodes B and C is included in every minimum spanning tree of the given graph is __________ (answer in integer).
Consider the following C program
The value printed by the given C program is __________ (Answer in integer).