NIMCET 2024 — Computer PYQ

To design a larger memory module using smaller individual memory chips, we can find the total number of required chips by evaluating the ratio of total required capacity to the single chip capacity.

1. Understand the Given Values

• Target Memory Capacity Required: $\text{Total Capacity}=64\text{ Kbytes}$

  Since $1\text{ byte}=8\text{ bits}$, we can write this configuration as:

  $$\text{Total Capacity}=64\text{K}\times 8\text{-bit}$$

• Capacity of a Single RAM Chip:

  $$\text{Chip Capacity}=4\text{K}\times 8\text{-bit}$$

2. Calculate the Number of RAM Chips Required

The general formula to calculate the total number of memory chips needed is:

$$\text{Total Chips}=\frac{\text{Required Total Capacity}}{\text{Capacity of One Chip}}$$

Substituting the given configurations into the formula:

$$\text{Total Chips}=\frac{64\text{K}\times 8\text{-bit}}{4\text{K}\times 8\text{-bit}}$$

The $8\text{-bit}$ data width in the numerator and denominator cancel each other out:

$$\text{Total Chips}=\frac{64\text{K}}{4\text{K}}$$

$$\text{Total Chips}=\frac{64}{4}=16$$

Thus, 16 RAM chips are required in total to fulfill the required configuration.