What is the size of an uncompressed 10-second video clip (in full color) if it is filmed in slow motion (120 frames per second) at HD (1,280 x 720 pixels) resolution? What will the size be if it is filmed at 30 frames per second?
What is the size of an uncompressed 10-second video clip (in full color) if it is filmed in slow motion (120 frames per second) at HD (1,280 x 720 pixels) resolution? What will the size be if it is filmed at 30 frames per second?
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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![**Question:** What is the size of an uncompressed 10-second video clip (in full color) if it is filmed in slow motion (120 frames per second) at HD (1,280 x 720 pixels) resolution? What will the size be if it is filmed at 30 frames per second?
**Explanation:**
To calculate the size of an uncompressed video, we need to consider the following:
1. **Resolution:** HD (1,280 x 720 pixels)
2. **Color Depth:** Full color is typically 24 bits per pixel (8 bits per channel for RGB).
3. **Frame Rate:**
- Slow motion: 120 frames per second
- Normal: 30 frames per second
4. **Duration:** 10 seconds
**Calculation Steps:**
1. **Calculate the number of pixels per frame:**
\[
1,280 \times 720 = 921,600 \text{ pixels}
\]
2. **Calculate bits per frame:**
\[
921,600 \text{ pixels} \times 24 \text{ bits per pixel} = 22,118,400 \text{ bits}
\]
3. **Convert bits to bytes (1 byte = 8 bits):**
\[
\frac{22,118,400 \text{ bits}}{8} = 2,764,800 \text{ bytes}
\]
4. **Calculate frame size in megabytes (1 MB = 1,024 \times 1,024 bytes):**
\[
\frac{2,764,800 \text{ bytes}}{1,024 \times 1,024} \approx 2.64 \text{ MB}
\]
5. **Calculate video size for 120 frames per second over 10 seconds:**
\[
2.64 \text{ MB per frame} \times 120 \text{ frames per second} \times 10 \text{ seconds} = 3,168 \text{ MB}
\]
6. **Calculate video size for 30 frames per second over 10 seconds:**
\[
2.64 \text{ MB per frame} \times 30 \text{ frames per second} \times 10 \text{ seconds} = 792 \text{ MB}
\]
Therefore,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f285d11-2900-4a96-81ef-ed9c927a6843%2F77aca22b-96cf-477d-99d9-ec92c2a2555e%2Fbaxx40c_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:** What is the size of an uncompressed 10-second video clip (in full color) if it is filmed in slow motion (120 frames per second) at HD (1,280 x 720 pixels) resolution? What will the size be if it is filmed at 30 frames per second?
**Explanation:**
To calculate the size of an uncompressed video, we need to consider the following:
1. **Resolution:** HD (1,280 x 720 pixels)
2. **Color Depth:** Full color is typically 24 bits per pixel (8 bits per channel for RGB).
3. **Frame Rate:**
- Slow motion: 120 frames per second
- Normal: 30 frames per second
4. **Duration:** 10 seconds
**Calculation Steps:**
1. **Calculate the number of pixels per frame:**
\[
1,280 \times 720 = 921,600 \text{ pixels}
\]
2. **Calculate bits per frame:**
\[
921,600 \text{ pixels} \times 24 \text{ bits per pixel} = 22,118,400 \text{ bits}
\]
3. **Convert bits to bytes (1 byte = 8 bits):**
\[
\frac{22,118,400 \text{ bits}}{8} = 2,764,800 \text{ bytes}
\]
4. **Calculate frame size in megabytes (1 MB = 1,024 \times 1,024 bytes):**
\[
\frac{2,764,800 \text{ bytes}}{1,024 \times 1,024} \approx 2.64 \text{ MB}
\]
5. **Calculate video size for 120 frames per second over 10 seconds:**
\[
2.64 \text{ MB per frame} \times 120 \text{ frames per second} \times 10 \text{ seconds} = 3,168 \text{ MB}
\]
6. **Calculate video size for 30 frames per second over 10 seconds:**
\[
2.64 \text{ MB per frame} \times 30 \text{ frames per second} \times 10 \text{ seconds} = 792 \text{ MB}
\]
Therefore,
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