CUET PG 2025 — Computer PYQ

Calculating Data Lines

The memory capacity is often expressed in the format  
Number of Words $\times$ Bits per Word.  
In this case, $32K\times 16$.

$32K$ represents the total number of memory locations (words).

$16$ represents the number of bits that can be stored in each memory location.

The number of bits per word directly corresponds to the number of data lines required.  
Each data line carries one bit of information. Therefore:

Data Lines $=16$

Calculating Address Lines

The $32K$ part tells us the total number of unique memory locations the chip can store.  
The term $K$ in digital contexts usually stands for $1024$.

Total Memory Locations $=32\times K=32\times 1024$

To find the number of address lines, we express the total number of locations as a power of $2$.

Address lines can represent $2^n$ unique combinations.

Let $N$ be the total number of memory locations and $n$ be the number of address lines.  
The relationship is $N=2^n$.

Calculate total locations:

$N=32\times 1024$

Convert the numbers to powers of $2$:

$32=2^5$

$1024=2^{10}$

So, the total number of locations is:

$N=2^5\times 2^{10}=2^{(5+10)}=2^{15}$

Now, we use the formula $N=2^n$:

$2^{15}=2^n$

By comparing the exponents, we find:

Address lines $(n)=15$