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A RAM chip has a capacity of $1024$ words of $8$ bits each $(1k \times 8)$. The number of $2 \times 4$ decoders with enable line needed to construct a $16k \times 16$ RAM from $1k \times 8$ RAM is ______.





Solution

To go from $1k$ to $16k$: $16k/1k=16 \Rightarrow 4$ additional address lines. A $2\times4$ decoder selects $4$ blocks using $2$ lines. For $16$ blocks, $4$ such decoders are required, and with enable control one more decoder is needed. Total decoders $=5$


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