A discrete memoryless source has an alphabet {a1, a2, a3, a4}  with corresponding probabilities \(\left\{ {\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{8}} \right\}\). The minimum required average codeword length in bits to represent this source for error-free reconstruction is ________

Enter numerical value using the virtual keypad. Round off where necessary.

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