13 address bits are needed for the main memory of 8192 cells.
How to calculate the address bits?
Step 1 is to determine the address's bit length (n bits)
Step 2: Determine how many memory locations there are (bits)
To calculate the address bits we need to know which power of the cells is raised to 2. so 13 address bits because 2 ^ 13 = 8192 cells
What are the address bits?
An index in memory is the main storage address. The address of a single byte is a 32-bit address. An address can be found on 32 of the bus's wires (there are many more bus wires for timing and control). Addresses like 0x2000, which appear to be a 16-bit pattern, are occasionally brought up in conversation.
Hence 13 address bits are needed for the main memory
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