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).