Sure, let's address the question step-by-step.
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### Part (c): A microcomputer has a 16K x 8 RAM memory which is made from 4K x 8 RAM chips.
#### (i) Determine the:
- (I) Word Size
The word size essentially refers to the number of bits that can be accessed or processed at one time. In this case, we have a 16K x 8 RAM, where the "x 8" denotes that each memory location can store 8 bits, or 1 byte.
Answer: The word size is 8 bits.
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- (II) Number of Address Lines for the Entire System
To determine the number of address lines, we first recognize that each address line can represent two states (0 or 1). The total number of address lines needed can be calculated using the formula:
[tex]\[ \text{Number of Address Lines} = \log_2 (\text{Total Memory Size in Bytes}) \][/tex]
Given:
- The total memory size is 16K (where K stands for Kibi, [tex]\( 1 \text{K} = 1024 \)[/tex])
- [tex]\( 16 \text{K} = 16 \times 1024 = 16384 \)[/tex] memory locations
Thus, we need enough address lines to address each of the 16,384 locations.
[tex]\[ \text{Number of Address Lines} = \log_2 (16384) = 14 \][/tex]
Answer: The number of address lines for the entire system is 14.
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- (III) Number of 4K x 8 RAM Chips Needed
To determine how many 4K x 8 RAM chips are required to make up the total 16K x 8 RAM, we divide the total memory size by the size of each chip.
Given:
- Each 4K x 8 RAM chip has 4K (4 * 1024 = 4096) memory locations.
[tex]\[ \text{Number of Chips Needed} = \frac{16384}{4096} = 4 \][/tex]
Answer: The number of 4K x 8 RAM chips needed is 4.
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So, summarizing the findings for part (c):
1. Word size: 8 bits
2. Number of address lines for the entire system: 14
3. Number of 4K x 8 RAM chips needed: 4
