Question

How many total numbers can be represented with an 8 bit binary (base-2) system

Answer 1

256.

Step-by-step explanation:

In Computer science, a bit is a short word for the term binary digit and is primarily the basic (smallest) unit measurement of data or information.

A bit is a logical state which represents a single binary value of either one (1) or zero (0). This ultimately implies that, a single bit in computer science represents a boolean value of;

1. True or ON, which is equal to one (1).

2. False or OFF, which is equal to zero (0).

Additionally, a binary numbering represents all numeric values that are to be written in sequences of ones (1s) and zeroes (0s). Therefore, a binary number refers to any numerical value (number) that is expressed in base-2 numerical system; 0s and 1s.

Also, the total numbers which can be represented with an 8 bit binary (base-2) system is 256.

Mathematically, it is given by the equation;

`2^(n)`

Given that n = 8

`2^(8) = 256`