Explain how did we obtain the the following (numbers) about memory? 1) The quest

Question

Explain how did we obtain the the following (numbers) about memory?

1) The questions below are for a 8K x 32 memory unit.

(i) How many flip-flops are needed for the memory ddress register (MAR)

13

(ii) How many flip-flops are needed for the memory buffer register (MBR)?

32 bits

(i) How many words can a (word addressable) memory unit contain if the MAR has 15 bits (MDR same as above). Express your answer using the appropriate suffixes K or M etc?

215 = 210 - 25 = 32K

(iv) What if the memory is byte addressable?

32k / 4 = 8k

Explanation / Answer

1) The questions below are for a 8K x 32 memory unit.
(i) How many flip-flops are needed for the memory ddress register (MAR)
13
here total number of flip flop are 8k so that to represent that we need
2^13 flip flop so that 13 bit are required for flip flop

(ii) How many flip-flops are needed for the memory buffer register (MBR)?
32 bits
memory buffer register is used to store and transfer data from one to other
so here 8k x 32 memory unit, 8k is number of flip flop and 32 bits is the size of
memory buffer.

(iii) How many words can a (word addressable) memory unit contain if the MAR has
15 bits (MDR same as above). Express your answer using the appropriate
suffixes K or M etc?
215 = 210 - 25 = 32K
here 2^15 is the size of memory.
so that here 2^15 = 32k word

(iv) What if the memory is byte addressable?
32k / 4 = 8k
if memory is byte addressable than divide it bt 4 so that
byte addressable mode will be given.

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