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Representation of an image pixel from 8bit (Binary) to Fibonacci number

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Toqeer Mahmood
Toqeer Mahmood 2018-7-15
We can represent a pixel of an 8-bit image as under:
Let we have a pixel whose value is 39 then its equivalent binary is
39 = 111001 = 1 × 1 + 1 × 2 + 1 × 4 + 0 × 8 + 0 × 16 + 1 × 32, which is a unique representation of number 39.
However, if we try to represent the same number (39) in Fibonacci sequence then we need 12-bit plans instead of 8-bit planes (in the case of Binary number system) and we get different sequences which can produces the number 39 as under:
39 = 011000010000 = 0×1 + 1×2 + 1×3 + 0×5 + 0×8 + 0×13 + 0×21 + 1×34 + 0×55 + 0×89 + 0×144 + 0×233, or
39 = 000100010000 = 0×1 + 0×2 + 0×3 + 1×5 + 0×8 + 0×13 + 0×21 + 1×34 + 0×55 + 0×89 + 0×144 + 0×233, or
39 = 000101100000 = 0×1 + 0×2 + 0×3 + 1×5 + 0×8 + 1×13 + 1×21 + 0×34 + 0×55 + 0×89 + 0×144 + 0×233.
Therefore, I need a Matlab code to represent a number or image pixel into different possible Fibonacci sequences. Please, anyone share.
I shall be very thankful.
Toqeer (<mailto:toqeer.mahmood@yahoo.com toqeer.mahmood@yahoo.com>)

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