Solution

We are asked to find the number of address lines and data lines for a memory with capacity 32K × 16.

Step 1: Determine Address Lines

Memory size = 32K × 16 → 32K words, each word = 16 bits.
Number of words = 32K = 32 × 1024 = 32,768 words.
Number of address lines required = log₂(Number of words) = log₂(32,768) = 15.

Step 2: Determine Data Lines

Each word has 16 bits → Number of data lines = 16.

Answer: Address lines = 15, Data lines = 16 (Option B)