QUESTION IMAGE
Question
reflection: adding bits
each time we add another bit, what happens to the amount of numbers we can make?
enter your reflection here.
submit
In binary - based systems, each bit can have two states (0 or 1). When we have 1 bit, we can represent 2 numbers (0 and 1). When we add a second bit, we can represent $2\times2 = 2^2=4$ numbers (00, 01, 10, 11). In general, if we have $n$ bits, we can represent $2^n$ numbers. So each time we add another bit, the number of different values or numbers we can make doubles because we are multiplying the number of possible combinations by 2.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
The number of different numbers we can make doubles.