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GATE 2020 BM – Question 59

Medical Imaging Systems · X-Ray and Computed Tomography · 2 marks · Numerical answer

A 36 cm ×48 cm chest radiograph is digitized to preserve 6 cycles/mm at 8-bit quantization. Find approximate image size in MB to two decimals, using the binary megabyte convention intended by the source.

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Correct answer: 23.70 to 23.75

Explanation

Nyquist requires at least twelve pixels per millimetre for six cycles/mm. Image dimensions are 360×12=4320 and 480×12=5760 pixels, totaling 24883200 pixels. Eight bits equal one byte each. Dividing by 2²⁰ gives 23.7305 MiB, written as 23.73 MB in the source. A decimal megabyte convention would instead give 24.88 MB.

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