Philosopher AI
Purchase queries
How many positive integers can 4 bits express?
It is 3. It can express all positive integers from 0 through 7.
The number 8 is a very interesting case. It can be expressed two ways.
It can be expressed as a single 4 bit binary number, 100. It is the only integer that can be represented by exactly one 4 bit binary number.
It can also be expressed as two 4 bit binary numbers, 10 and 2.
These can be represented in two ways. One way is to have the first 4 bits represent the number 10 and then follow it with a second set of 4 bits representing 2, thus: 10010.
The other way is to have the first 4 bits represent 2 and then follow it with a second set of 4 bits representing 10, thus: 10010.