A computer uses RAM chips of 1024×1 capacity. How many chips are needed & how should their address lines be connected to provide a memory capacity of 2048 bytes??

A computer uses RAM chips of 1024×1 capacity. How many chips are needed & how should their address lines be connected to provide a memory capacity of 2048 bytes??

Ans :  RAM chip capacity is 1024×1 

          Well this defines columns & rows

i.e 1024 columns × 1 row = 

Therefore total memory capacity = 1024 ×1 = 1024 bits.

We know that 1 byte= 8 bits 

Therefore , 2048 bytes= 2048 × 8 bits

Applying unitary method

If 1024 bits = 1 chip

     1 bit.       =  1/1024 chip

   2048 × 8 bits= (2048×8)/1024

                          = 16 chips 

Address lines:

2048 = 2ⁿ     ( n= no. of address lines)

n= 11

as 1 chip= 1024 bits

Address lines for 1 chip : 1024= 2¹⁰

therefore 11 address lines are required for 16 chips

where 10 address lines are common to all chips.