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To create a 4-to-16 decoder using 2-to-4 decoders, you can use four 2-to-4 decoders in a hierarchical structure. First, take the two most significant bits (MSBs) of the 4-bit input to select one of the four 2-to-4 decoders. Each of these decoders will then decode the two least significant bits (LSBs) of the input, generating a unique output corresponding to the 4-bit input combination. This setup allows you to produce 16 unique outputs based on the 4-bit input.

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How do you make 6 to 64 decoder using four 4 to 16 and one 2 to 4 decoder?

To create a 6 to 64 decoder using four 4 to 16 decoders and one 2 to 4 decoder, first, separate the 6 input bits into two groups: the upper 2 bits (let's call them A5 and A4) and the lower 4 bits (A3 to A0). Use the 2 to 4 decoder to decode the upper 2 bits, which will select one of the four 4 to 16 decoders. Then, connect the lower 4 bits to all four 4 to 16 decoders. The selected 4 to 16 decoder will activate one of its 16 outputs based on the lower 4 bits, resulting in a total of 64 outputs from the combination of the decoders.


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