Question

An online store uses 6-bit binary sequences to identify each unique item for sale. The store plans to increase the number of items it sells and is considering using 7-bit binary sequences. Which of the following best describes the result of using 7-bit sequences instead of 6-bit sequences?
A) 2 more items can be uniquely identified.
B) 10 more items can be uniquely identified.
C) 2 times as many items can be uniquely identified.
D) 10 times as many items can be uniquely identified.

Answer 1

Answer:

2 times as many items can be uniquely identified

Explanation:

Option 'C' is the answer. because

if we use 6 bit binary sequence

then

No. of Unique address will be = 2 ^ 6  = 64

as we increase the bit by 1. Now total bits are 7.

so

No. of Unique address for 7 bit Sequence = 2 ^ 7  = 128

So,

128 is double of 64, that is 2 times greater value than 64.