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Consider a hypothetical microprocessor generating a 16-bit address and having a 16-bit data bus.i. What is the maximum men1ory address space that the processor can access directlyif it is connected to an S-bit memory?ii. If an input and an output instruction can specify an S-bit I/O port number,.'$owmany 8-bit I/O ports can the microprocessor support?

Question

Consider a hypothetical microprocessor generating a 16-bit address and having a 16-bit data bus.i. What is the maximum men1ory address space that the processor can access directlyif it is connected to an S-bit memory?ii. If an input and an output instruction can specify an S-bit I/O port number,.'$owmany 8-bit I/O ports can the microprocessor support?

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Solution 1

i. To determine the maximum memory address space that the processor can access directly, we need to consider the number of bits in the address bus. In this case, the microprocessor has a 16-bit address bus.

The number of possible memory addresses can be calculated using the formula 2^n, where n is the number of bits in the address bus. Therefore, for a 16-bit address bus, the maximum memory address space would be 2^16, which is equal to 65,536 memory addresses.

ii. For the microprocessor to support S-bit I/O port numbers, we need to determine the number of possible port numbers that can be represented using S bits.

Using the same formula as before, 2^n, where n is the number of bits, we can calculate the number of possible port numbers. However, in this case, we need to consider that each port number is represented by S bits, and each bit can have two possible values (0 or 1).

Therefore, the number of possible port numbers would be 2^S. However, since each port number is represented by S bits, we need to divide this value by the number of bits in an 8-bit byte (8) to determine the number of 8-bit I/O ports that the microprocessor can support.

So, the number of 8-bit I/O ports that the microprocessor can support would be (2^S) / 8.

This problem has been solved

Solution 2

i. To determine the maximum memory address space that the processor can access directly, we need to consider the number of bits in the address bus. In this case, the microprocessor has a 16-bit address bus.

The number of possible memory addresses can be calculated using the formula 2^n, where n is the number of bits in the address bus. Therefore, for a 16-bit address bus, the maximum memory address space would be 2^16, which is equal to 65,536 memory addresses.

ii. For the microprocessor to support S-bit I/O ports, we need to determine the number of possible I/O port numbers. Since each I/O port number can be represented using S bits, the number of possible I/O port numbers can be calculated using the formula 2^S.

Therefore, the microprocessor can support 2^S 8-bit I/O ports.

This problem has been solved

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