Complexity Explorer Santa Fe Institute

Maximum Entropy Methods

Lead instructor: Simon DeDeo

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When you are finished, clicking the "Score" button at the bottom of the test will show you the correct responses.

Question 1: Suppose a black and white image has dimensions of 30 x 30 pixels. Each pixel can be either black or white. How many different images (i.e., combinations of pixel values) are possible?
Answer 1: A. 2³⁰
Answer 2: B. 30²
Answer 3: C. 900
Answer 4: D. 2⁹⁰⁰
Answer 5: E. 900³⁰
Question 2: Suppose your 30 x 30-pixel image is gray-scale instead of black and white --- that is, each pixel can have 256 different values. How many different images (i.e., combinations of pixel values) are possible?
Answer 1: A. 30²⁵⁶
Answer 2: B. 256³⁰
Answer 3: C. 900²⁵⁶
Answer 4: D. 256⁹⁰⁰
Answer 5: E. infinite