Question

Consider the following pseudocode that computes the value $2^n$ for $n \ge 0$. int x $\leftarrow$ 1 int i $\leftarrow$ 0 while (i < n) x $\leftarrow$ x * 2 i $\leftarrow$ i + 1 end while Which of the following is a loop invariant that most directly could be used to prove that A) i < n B) x == x * 2 C) x == $2^n$ D) x == $2^{i+1}$ E) x == $2^i$

Name: consider the following pseudocode that computes the value 2n for n ge 0 int x leftarrow 1 int i leftarrow 0 while i n x leftarrow x 2 i leftarrow i 1 end while which of the following is a lo 07413
Uploaded: 2024-03-09T17:54:29-08:00
Duration: 2 min 5 s
Channel: Jerelyn Nevil
Description: consider the following pseudocode that computes the value 2n for n ge 0 int x leftarrow 1 int i leftarrow 0 while i n x leftarrow x 2 i leftarrow i 1 end while which of the following is a lo 07413

          Consider the following pseudocode that computes the value $2^n$ for $n \ge 0$.

int x $\leftarrow$ 1
int i $\leftarrow$ 0

while (i < n)
  x $\leftarrow$ x * 2
  i $\leftarrow$ i + 1
end while

Which of the following is a loop invariant that most directly could be used to prove that
A) i < n
B) x == x * 2
C) x == $2^n$
D) x == $2^{i+1}$
E) x == $2^i$

consider the following pseudocode that computes the value 2n for n ge 0 int x leftarrow 1 int i leftarrow 0 while i n x leftarrow x 2 i leftarrow i 1 end while which of the following is a lo 07413

Added by Blanca S.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Jerelyn Nevil

03/09/2024

Step 1

A loop invariant is a condition that is true before entering the loop, and remains true after each iteration of the loop. When the loop terminates, the loop invariant, combined with the loop termination condition, should imply the correctness of the Show more…

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Consider the following pseudocode that computes the value $2^n$ for $n \ge 0$. int x $\leftarrow$ 1 int i $\leftarrow$ 0 while (i < n) x $\leftarrow$ x * 2 i $\leftarrow$ i + 1 end while Which of the following is a loop invariant that most directly could be used to prove that A) i < n B) x == x * 2 C) x == $2^n$ D) x == $2^{i+1}$ E) x == $2^i$