- 2073 Chaitra · 4 marks
Frame buffer for 640×480 B/W video
Short answer
Black‑and‑white uses 1 bit/pixel, so one 640×480 frame = 38,400 bytes. At 25 fps, 5 minutes yields 7,500 frames, giving total storage = 288,000,000 bytes ≈ 275 MB.
Calculate the size of frame buffer required to store a 640×480 B and W video of length 5 minutes without compression.
A black-and-white (bi-level) image needs 1 bit per pixel. The video size equals frame size × number of frames. The frame rate is not given, so assume 25 fps.
Pixels per frame = 640 × 480 = 307,200
Bits per frame = 307,200 × 1 = 307,200 bits
Bytes per frame = 307,200 / 8 = 38,400 B (37.5 KB)
Time = 5 × 60 = 300 s
Frames = 25 × 300 = 7,500
Total size = 38,400 × 7,500 = 288,000,000 bytes
≈ 274.7 MB (÷ 2²⁰)
For other frame rates the size scales linearly (at 30 fps: 345,600,000 B ≈ 329.6 MB).
Answer: one frame needs 38,400 bytes; 5 minutes at 25 fps needs 288,000,000 bytes ≈ 275 MB.
✓ Answer checked by Claude Opus 5.5 (high effort)
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