How many address lines and input-output data lines are needed for the 64k × 8…
2021
How many address lines and input-output data lines are needed for the 64k × 8 memory unit?
- A.
16 address lines, 3 data lines
- B.
6 address lines, 3 data lines
- C.
16 address lines, 8 data lines
- D.
10 address lines, 8 data lines
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Correct answer: C
1. Address Lines
The number of address lines is determined by the total number of addressable locations (words).
Total Locations: 64{k} = 64 * 1024 = 65,536
We use the formula 2^n = {Total Locations}, where n is the number of address lines.
Since 64 = 2^6 and 1{k} = 2^{10}, then 64{k} = 2^6 and 2^{10} = 2^{16}.
Therefore, n = 16 address lines.
2. Data Lines
The number of data lines corresponds directly to the word size (the number of bits stored at each address).
The memory unit is specified as dots 8, meaning each location stores 8 bits.
Therefore, 8 data lines are needed to transfer one word at a time.