A 16 x 5 ROM storesa.4 words of 16 bits eachb.16 words of 4 bits eachc.5 words of 16 bits each
Question
A 16 x 5 ROM stores
a. 4 words of 16 bits each
b. 16 words of 4 bits each
c. 5 words of 16 bits each
Solution
To analyze the capabilities of a 16 x 5 ROM (Read-Only Memory), we need to understand what its dimensions mean. The first dimension indicates the number of bits in each word, while the second dimension indicates the total number of words that can be stored.
Break Down the Problem
- The ROM has dimensions of 16 x 5, where:
- 16 = number of bits per word.
- 5 = total number of words.
Relevant Concepts
- To determine how many bits this ROM can store in total, we can use the formula: Therefore:
Analysis and Detail
- Now let's analyze each of the options:
- a. 4 words of 16 bits each: This means 4 x 16 = 64 bits. The ROM can hold more bits than this option.
- b. 16 words of 4 bits each: This means 16 x 4 = 64 bits. Again, the ROM can hold more bits than this option.
- c. 5 words of 16 bits each: This means 5 x 16 = 80 bits. This matches the total storage capacity of the ROM exactly.
Verify and Summarize
- From the analysis, we conclude that there is only one option that matches the total storage capacity of the ROM, which is option c. The other two options specify a smaller total storage capacity than what the ROM provides.
Final Answer
The 16 x 5 ROM can store 5 words of 16 bits each.
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