A manufacturer states that a computer has a main memory of size 4 GiB.How many words of length 64 bits can be held in 4 GiB of main memory?

Sure, here are the steps to calculate the number of 64-bit words that can be held in 4 GiB of main memory:

1. First, we need to understand the units involved. GiB stands for Gibibyte, which is a unit of digital information storage. 1 GiB is equal to 2^30 bytes or 1,073,741,824 bytes.

2. Since we have 4 GiB of memory, we multiply this by the number of bytes in a GiB to get the total number of bytes: 4 GiB * 1,073,741,824 bytes/GiB = 4,294,967,296 bytes.

3. Next, we need to convert bytes to bits since a byte is made up of 8 bits. So, we multiply the total number of bytes by 8 to get the total number of bits: 4,294,967,296 bytes * 8 bits/byte = 34,359,738,368 bits.

4. Finally, since each word is 64 bits, we divide the total number of bits by the number of bits per word to get the total number of words: 34,359,738,368 bits / 64 bits/word = 536,870,912 words.

So, a computer with 4 GiB of main memory can hold 536,870,912 words of length 64 bits.