Question

How the Binary Number System important for the functioning of acomputer

Answer 1

Answer:

The binary number system is an alternative to the decimal (10-base) number system that we use every day. Binary numbers are important because using them instead of the decimal system simplifies the design of computers and related technologies. ... But if the second digit is 1, then it represents the number 2.

Answer 2

Explanation:

lternative to the decimal (10-base) number system that we use every day. Binary numbers are important because using them instead of the decimal system simplifies the design of computers and related technologies. The simplest definition of the binary number system is a system of numbering that uses only two digits—0 and 1—to represent numbers, instead of using the digits 1 through 9 plus 0 to represent numbers.

To translate between decimal numbers and binary numbers, you can use a chart like the one to the left. Notice how 0 and 1 are the same in either system, but starting at 2, things change. For example, decimal 2 looks like 10 in the binary system. The 0 equals zero as you would expect, but the 1 actually represents 2. Here’s how to translate between binary and digital. In every binary number, the first digit starting from the right side can equal 0 or 1. 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. And so on. 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. Add 2 + 1 together and you get 3.

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 100, 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 number is 2 × 2, which equals 4. The total value of binary 100 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.