16 Type the correct answer in the box. Use numerals instead of words. If necessary, use /for the fraction bar. var num2 = 32; var num1 = 12; var rem-num2 % num1; while(rem> 0) { num2 = num1; num1 =rem; rem =num2 % num1; document.write(num1): The output of the document.write statement at the end of this block is Reset Next

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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### Transcription for Educational Website

**Problem Statement:**

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

**Code Snippet:**

```javascript
var num2 = 32;
var num1 = 12;
var rem = num2 % num1;
while(rem > 0)
{
    num2 = num1;
    num1 = rem;
    rem = num2 % num1;
}
document.write(num1);
```

**Question:**

The output of the document.write statement at the end of this block is ______.

**Explanation:**

This code snippet uses the Euclidean algorithm to find the greatest common divisor (GCD) of the two numbers, `32` and `12`. The algorithm works by repeatedly calculating the remainder of the division of `num2` by `num1` and then replacing `num2` with `num1` and `num1` with the remainder until the remainder is zero.

In this case:

1. Initial values: `num2 = 32`, `num1 = 12`
2. `rem = 32 % 12` = 8 (remainder of 32 divided by 12)
3. Update values: `num2 = 12`, `num1 = 8`
4. `rem = 12 % 8` = 4
5. Update values: `num2 = 8`, `num1 = 4`
6. `rem = 8 % 4` = 0

When the remainder becomes zero, `num1`, which is 4, is the GCD.

**Answer:**

The output of the `document.write` statement at the end of this block is **4**.
Transcribed Image Text:### Transcription for Educational Website **Problem Statement:** Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. **Code Snippet:** ```javascript var num2 = 32; var num1 = 12; var rem = num2 % num1; while(rem > 0) { num2 = num1; num1 = rem; rem = num2 % num1; } document.write(num1); ``` **Question:** The output of the document.write statement at the end of this block is ______. **Explanation:** This code snippet uses the Euclidean algorithm to find the greatest common divisor (GCD) of the two numbers, `32` and `12`. The algorithm works by repeatedly calculating the remainder of the division of `num2` by `num1` and then replacing `num2` with `num1` and `num1` with the remainder until the remainder is zero. In this case: 1. Initial values: `num2 = 32`, `num1 = 12` 2. `rem = 32 % 12` = 8 (remainder of 32 divided by 12) 3. Update values: `num2 = 12`, `num1 = 8` 4. `rem = 12 % 8` = 4 5. Update values: `num2 = 8`, `num1 = 4` 6. `rem = 8 % 4` = 0 When the remainder becomes zero, `num1`, which is 4, is the GCD. **Answer:** The output of the `document.write` statement at the end of this block is **4**.
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