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What is the smallest binary string - size that can be used for representing one HEX number? Note: Range of HEX numbers : { 0

What is the smallest binary string-size that can be used for representing one HEX number?
Note: Range of HEX numbers : {0,1,2,3,4,5,6,7,8,9, A, B, C, D, E, F } base 16

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