Video binary number system application advantages
Every computer is made up of many electronic components. That is why a basic knowledge of electronics is needed to understand how and why binary numbers are used in computers. A computer is built with many connections and components, which are used to transfer and store data, as well as communicate with other components. Most of that storing, transferring, and communicating happens with digital electronics. In electronics, a voltage level or current flow is a way to represent a value.
For example, 5V volts or 0. The makers of electronic devices could, of course, assign any meaning that they want to different voltage values. You would end up with 0. This means that when building an electronic device, it is most often desired to have the energy consumption as low as possible and to have a low voltage. Furthermore, electronic signals are not always very steady and can vary because of surrounding influences, like nearby internal circuits for other electronic devices.
This might then lead to voltage levels where it gets difficult to distinguish which value it represents. As a result, we cannot divide the 5V into 10 steps.
The values could be misinterpreted. A computer might suddenly make wrong calculations because of random interference. This example of voltage ranges shows that it is necessary to have a safe range between two voltage levels in order to read the correct value with percent probability.
But if the second digit is 1, then it represents the number 2. If it is 0, then it is just 0. The third digit can equal 4 or 0. The fourth digit can equal 8 or 0. If you write down the decimal values of each of the digits and then add them up, you have the decimal value of the binary number. In the case of binary 11, there is a 1 in the first position, which equals 1 and then another 1 in the second position, so that equals 2. As numbers get larger, new digits are added to the left. To determine the value of a digit, count the number of digits to the left of it, and multiply that number times 2.
For example, for the digital number , to determine the value of the 1, count the number of digits to the left of the 1 and multiply that number times 2. The total value of binary is 4, since the numbers to the left of the 1 are both 0s. Now you know how to count digital numbers, but how do you add and subtract them?
Binary math is similar to decimal math. Adding binary numbers looks like that in the box to the right above. To add these binary numbers, do this: Start from the right side, just as in ordinary math. Write a 1 down in the solution area. According to our rule, that equals 0, so write 0 and carry the 1 to the next column. Any time you have a column that adds up to decimal 3, you write down a 1 in the solution area and carry a 1.