Given a system with 2 memory channels and 4 DRAM DIMMs (2 DIMMs per channel), each DIMM has: • 1 rank per DIMM • 8 chips per rank • 8 bits per column • 8 banks per chip • 32,768 rows per bank • 2,048 columns per bank A) What is the total amount (bytes) of physical memory in the system?

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Given a system with 2 memory channels and 4 DRAM DIMMs (2 DIMMs per channel), each DIMM has:
• 1 rank per DIMM
• 8 chips per rank
• 8 bits per column
• 8 banks per chip
• 32,768 rows per bank
• 2,048 columns per bank
A) What is the total amount (bytes) of physical memory in the system?
B) What is the minimum number of physical address bits needed to address this much memory?
C) With the number of physical address bits obtained in 2), also assume
• The physical address space has 1M (i.e., 1048576) pages (physical frames)
Virtual addresses have 64 bits
What is the maximum number of pages in the virtual address space?
Transcribed Image Text:Given a system with 2 memory channels and 4 DRAM DIMMs (2 DIMMs per channel), each DIMM has: • 1 rank per DIMM • 8 chips per rank • 8 bits per column • 8 banks per chip • 32,768 rows per bank • 2,048 columns per bank A) What is the total amount (bytes) of physical memory in the system? B) What is the minimum number of physical address bits needed to address this much memory? C) With the number of physical address bits obtained in 2), also assume • The physical address space has 1M (i.e., 1048576) pages (physical frames) Virtual addresses have 64 bits What is the maximum number of pages in the virtual address space?
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