Question

4 (02.01 mc) a school offers merchandise that students can purchase from an online store. the programmer who wrote the stores app allocated 5 bits of space for the total number of items the store sells. the store has been popular with the students and wants to add new items. if the programmer increases the space to 6 bits, how many more items can be added to the store? (2 points) 75 27 32 10

Explanation:

Step1: Calculate number of items with 5 bits

The number of values that can be represented with $n$ bits is $2^n$. For $n = 5$, the number of items is $2^5=32$.

Step2: Calculate number of items with 6 bits

For $n = 6$, the number of items is $2^6 = 64$.

Step3: Calculate the difference

The difference in the number of items is $2^6-2^5=64 - 32=32$.

Answer:

32