How many words can be stored in a RAM with a 16-bit word size and a total capacity of 4096 bits; and how many address lines are needed to address this SRAM?

There total capacity of RAM is 4096 bits.

Word Size = 16 bits

Total Number of words in RAM = 4096/16

Total Number of words in RAM = 256 locations

Now compute the number of addresses.

No. of addresses = log₂ (256)

= log₁₀ (256) / log₁₀ (2)

No. of addresses = 8 address lines

Total 8 address lines required to address 256 locations RAM of size 16 bit each location.

Explanation:

There we are unable to calculate log base 2. There is a formula to calculate this as

log₂ (x) = log₁₀ (x) / log₁₀ (2)