A RAM chip has a capacity of 1024 words of 8 bits each (1K × 8). The number of 2 × 4 decoders with enable line needed to construct a 16K × 16 RAM from 1K × 8 RAM is
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Answer: B
The number of decoders is 5.
A 16K × 16 memory built from 1K × 8 chips needs 16 rows of chips (16K / 1K), with two chips side by side in each row for the 16-bit word. Selecting one of the 16 rows needs a 4-to-16 decoder.
A 4-to-16 decoder is built from 2 × 4 decoders with enable lines: one decoder takes the top two address bits and enables one of four second-level decoders, which decode the next two bits. That is \(1 + 4 = 5\) decoders.
4 forgets the first-level decoder, and 6 or 7 count extra decoders that are not needed.
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