Question #153180

A microprocessor uses RAM chips of 1×1024 capacity.

How many chips will be required to obtain a memory capacity of 16 𝐾 bytes?

How many chips will be required and how many address lines will be connected to provide a capacity of 1024 bytes?


1
Expert's answer
2021-01-01T13:37:08-0500

We are given:

The capacity of the chip is =(1024×1)=1024= (1024 \times 1 ) = 1024 bits

We have to obtain a memory whose capacity is 1616 K bytes or (16×1024×8)(16 \times 1024 \times 8 ) bits.

Hence:

The number of chips required to obtain a memory capacity of 1616 K bytes are:

=16×1024×81024= \dfrac{16 \times 1024 \times 8 }{1024}

=128\, = \color{blue}{128}

Again:

We have to obtain a memory whose capacity is 10241024 bytes or (1024×8)(1024 \times 8) bits

Hence:

The number of chips required to obtain a memory capacity of 10241024 bytes are:

=1024×81024= \dfrac{1024 \times 8}{1024}

=8= \color{blue}{ 8}

Now:

Since 210=10242^{10} = 1024 so a memory chip capacity of 10241024 bytes connected with 10\color{blue}{10} address lines.




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