Final answer:
The total number of unique addresses in a memory with a 14-bit address is 16,384, as each bit has two possible values resulting in 2¹⁴ combinations.
Step-by-step explanation:
To calculate the total number of unique addresses in a memory with a 14-bit address, we use the fact that each bit can represent two possible values (0 or 1). The total number of unique combinations that can be made with 14 bits is 2 to the power of 14. This is because each additional bit doubles the number of possible combinations. Therefore, the total number of unique memory addresses is 2¹⁴, which equals 16,384 addresses.
The word size of 8 bits is informational in this context but does not directly impact the calculation of unique addresses, as the word size dictates the amount of data each memory address can hold, not the number of addresses themselves.