A computer system with 16K of memory, a Memory Management Unit with a page size

Question

A computer system with 16K of memory, a Memory Management Unit with a page size of 2000, and the following page translation table (all numbers in hexadecimal):

     

Logical Address

Physical Start

0000

10000

2000

1F200

4000

2CC00

6000

22400

8000

30300

A000

41600

C000

81E00

E000

3F500

(Note: All additions and subtractions should be done in hexadecimal)

a. Indicate the physical memory location corresponding to logical address 2210.

b. Indicate the logical address corresponding to physical memory location 41B55.

Logical Address

Physical Start

0000

10000

2000

1F200

4000

2CC00

6000

22400

8000

30300

A000

41600

C000

81E00

E000

3F500

Explanation / Answer

a)
2000 -->1F200
2210 -->1F200+00210 .
b)
10F00 -->7500

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