Final answer:
To accommodate a maximum of 4 GB of data in 4kb blocks, you should reserve 128 KB of space for the data block bitmap.
Step-by-step explanation:
To calculate the amount of space needed for the data block bitmap in a file system organizing data into 4kb (kilobyte) blocks to accommodate a maximum of 4 GB (gigabytes) of data, you first need to determine how many 4kb blocks fit into 4GB. One gigabyte is equivalent to 1,024 MB (megabytes), and one MB is 1,024 KB. Thus, 4 GB is equal to 4 x 1,024 x 1,024 KB. Then divide this number by 4 KB to find the total number of blocks.
4 GB = 4 × 1,024 × 1,024 KB / 4 KB = 1,048,576 blocks
Since each block requires one bit in the bitmap, and there are 8 bits in a byte, you would divide the total number of blocks by 8 to find out how many bytes are necessary for the bitmap.
1,048,576 blocks / 8 = 131,072 bytes
Since storage is typically measured in KB and one KB is 1,024 bytes, you would convert bytes to KB:
131,072 bytes / 1,024 = 128 KB
To support a storage capacity of up to 4 GB, it is advisable to allocate 128 KB of space for the data block bitmap.