How To Convert Decimal To Binary Quora

Binary number is a base 2 number because it is either 0 or 1.

How to convert decimal to binary quora. In the binary system each binary digit refers to 1 bit. In an indirect method you need to convert a decimal number into other number system e g octal or hexadecimal then you can convert into binary number by converting each digit into binary number. First write it down.

For example with four binary digits you can represent 2 4 16 different numbers. Starting with the lsb multiply the digit by the value of the place holder. This is a positional system.

Divide the number by 2. Get the integer quotient for the next iteration. Write down the binary number and list the powers of 2 from right to left.

In the base two binary system n binary digits can be used to represent 2 n different numbers. Get the remainder for the binary digit. 1 or 0 by the value of the placeholder in the number.

Converting from binary to decimal involves multiplying the value of each digit i e. Increment the exponent by one for each power. Any combination of digits is decimal number such as 23 445 132 0 2 etc.

Since hexadecimal is a base sixteen system a one digit number can be used to represent 16 1 16 different numbers. Divide the number by 2 and write the remainder out to the side. Then write down the powers of two from right to left.