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If memory address is of 4-bits, then total no. of word in memory are_____.
4
64
16
8
16
The number of memory words (also known as memory locations) is determined by the total number of unique addresses that can be generated by the memory address bus. If the address bus is n bits wide, it can uniquely identify 2┬░n distinct memory locations.
The number of memory words (also known as memory locations) is determined by the total number of unique addresses that can be generated by the memory address bus. If the address bus is n bits wide, it can uniquely identify 2┬░n distinct memory locations.
N=2┬░n тАФ where N is the number of words and n is the number of address bits
In a digital system, each memory location is assigned a unique binary address. A binary number of n bits allows for 2┬░n combinations of 0s and 1s, where each combination acts as a pointer to a specific memory word. For a 4-bit address, the range of addresses spans from 00002тАЛ to 11112тАЛ, which corresponds to decimal 0 through 15, resulting in exactly 16 total locations.
The address bus width directly defines the address space of the processor.
Increasing the address bus by 1 bit doubles the total memory capacity.
A 4-bit address space is very small, typical of early 4-bit microprocessors like the Intel 4004.
Direct mapping of unique binary codes to hardware storage registers.
Predictable memory architecture based on power-of-two growth.
Exponential growth of address lines needed to support large memory sizes.
Hardware complexity increases as the bit-width of the address decoder expands.
Small embedded systems
Digital register file addressing
Instruction pointer indexing
A 4-bit address register can hold values from 0000 to 1111.
Option A (4) corresponds to 2┬░2, Option B (64) corresponds to 2┬░6, and Option D (8) corresponds to 2┬░3.
C is correct тАФ a 4-bit address line allows for 2┬░4=16 unique binary addresses, which corresponds to 16 distinct memory words.
Remember that for any memory-related exam question, capacity is always 2┬░n where n is the number of bits in the address bus.