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please show as much work as possible! PROBLEM 4 (26 PTS) a) What is the minimum number of bits required to represent: (2 pts) 32678

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please show as much work as possible!

PROBLEM 4 (26 PTS) a) What is the minimum number of bits required to represent: (2 pts) 32678 memory addresses in a computer? Numbers between 0 and 2048? = b) A microprocessor has a 32-bit address line. The size of the memory contents of each address is 8 bits. The memory space is defined as the collection of memory positions the processor can address. (6 pts) What is the address range (lowest to highest, in hexadecimal) of the memory space for 8 bits Address this microprocessor? What is the size (in bytes, KB, or MB) of the memory space? 1KB = 210 bytes, 1MB = 220 bytes, 1GB = 230 bytes Ox40800000 A memory device is connected to the microprocessor. Based on the size of the memory, 0x40800001 the microprocessor has assigned the addresses 0x40800000 to 0x40BFFFFF to this ! memory device. What is the size (in bytes, KB, or MB) of this memory device? Ox40BFFFFF What is the minimum number of bits required to represent the addresses only for this memory device? 0 8 bits Address 0 512 KB c) A microprocessor has a memory space of 2 MB. The size of the memory contents of each address is 8 bits (1 byte). (7 pts) What is the address bus size (number of bits of the address) of this microprocessor? What is the range (lowest to highest, in hexadecimal) of the memory space for this microprocessor? The figure (right) shows four memory chips that are placed in the given positions: Complete the address ranges (lowest to highest, in hexadecimal) for each of the memory chips. (5 pts) Ox 1 512 KB Ox . Ox 2 512 KB : 3 512 KB d) The figure below depicts the entire memory space of a microprocessor. Each memory address occupies one byte. (11 pts) What is the size (in bytes, KB, or MB) of the memory space? What is the address bus size of the microprocessor? If we have a memory chip of 8MB, how many bits do we require to address 8MB of memory? (1 pt.) We want to connect the 8MB memory chip to the microprocessor. For optimal implementation, we must place those 8MB in an address range where every single address share some MSBs (e.g.: 0x0000000 to 0x07FFFFF). Provide a list of all the possible address ranges that the 8MB memory chip can occupy. You can only use any of the non-occupied portions of the memory space as shown below. (8 pts) Ox3FFFFFF --- 0x3000000 Ox17FFFFF --- Ox1000000 Ox07FFFFF ** Ox0000000 8 bits Occupied Occupied Occupied

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