Binary Number System

Binary numbers are made up of only 0s and 1s. In the binary system, we represent numbers to the base of 2 and the positional multipliers are the powers of 2. The rightmost bit has the smallest positional weight and is known as the least significant bit. The leftmost bit has the largest positional weight and known as the most significant bit.

When counting using binary, we start at 0 and then 1. There is no symbol for 2 and therefore, you should go back to at 0 again but add 1 on the left. The figure below will help you to understand how we count using binary.

Binary

0…………………….start at 0

1…………………….then 1

10………………….start back at 0 and 1 on the left

11…………………..1 more

100………………. Again, start back at 0. Then, add one to the digit on the left… but that digit is already at 1, therefore, it also goes back to 0… and 1 is then added to the next on the left

101

110

111

1000………….For all three digits, start at 0 again and 1 on the left

Because of its easy implementation in digital electronic circuitry, binary numbers have many uses. The binary system is used by nearly all computers and computer-based devices.

References

https://www.mathsisfun.com/binary-number-system.html

https://www.mathsisfun.com/binary-number-system.html

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