Binary System.

Binary system is used in computers. We use binary system in computers instead of decimal system because in simplifies the design on computers.

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A binary system is a number system in which there are 2 digits we also call this a 2 base system. The 2 digits are 0 and 1. While a decimal system is the system that we usually use with 10 digits we also call it the base 10 system. Those digits are 0,1,2,3,4,5,6,7,8 and 9

To convert a binary to decimal you have to multiply every number with 2 and write it till how many digits are there in the binary number and then add the digits which are match to 1 and don’t add the once with a 0. The 10 written under the 156 number is to indicate that it is a base 10 number or decimal. Same for the 2 under the binary number.

To convert decimal to binary you will have to subtract the the decimal number like shown in the picture you will have to do the same but will have to subtract instead of adding. You have to subtract until you get 0.

To create further numbers accept 0 and 1 is to write those again but which more places like 2 in decimal system is 10 in the binary 3 is 11 in binary 4 is 100 in binary.

There in another decimal system known as the octal decimal system which has 8 digits these are 0,1,2,3,4,5,6 and 7 and a hexa decimal system which has 16 digits these are 0,1,2,3,4,5,6,7,8,9, A,B,C,D,E,F.