An 16-bit microprocessor has an external RAM which is having accessib...
Understanding the Address Range
To determine the number of address lines in the RAM, we first need to analyze the given address range, which is from A800 to AFFF in hexadecimal.
Calculating the Address Range
- Starting Address: A800
- Ending Address: AFFF
To find the total number of addresses in this range, we convert the hexadecimal values to decimal:
- A800 in decimal = 43008
- AFFF in decimal = 45055
Now, we compute the total number of addresses:
- Total Addresses = AFFF - A800 + 1
- Total Addresses = 45055 - 43008 + 1 = 248
Determining Address Lines
The number of address lines needed can be calculated through the formula:
- Formula: Number of Addresses = 2^n, where n is the number of address lines.
Now, we need to find the smallest n such that 2^n is greater than or equal to 248.
- 2^7 = 128 (insufficient)
- 2^8 = 256 (sufficient)
Thus, n = 8 address lines can address up to 256 memory locations, which is more than enough for our range.
Memory Organization
However, the question states "the number of address lines in the RAM is 11." This indicates that the RAM is likely organized in a specific way, possibly with additional addressing capabilities or a larger memory space that can be accessed.
Conclusion
In summary, while the direct calculation suggests 8 address lines for the specific range, the answer of 11 address lines could represent the RAM's full capacity or additional configurations. Thus, it's crucial to consider the entire architecture context when interpreting the number of address lines in microprocessors.
An 16-bit microprocessor has an external RAM which is having accessib...
Solution: starting address is 1010 1000 0000 0000
Ending address is 1010 1111 1111 1111
From the given data there are 11 address lines