How to Read A Binary Number
In order to convert binary to decimal, basic knowledge on how to read a binary number might help. As mentioned above, in the positional system of binary How to Convert Binary to Decimal
There are two methods to apply a binary to decimal conversion. The first one uses positional representation of the binary, which is described above Method 1: Using Positions
Step 1: Write down the binary number. Step 2: Starting with the least significant digit (LSB - the rightmost one), multiply the digit by the value of the position Method 2: Double Dabble
Also called doubling, this method is actually an algorithm that can be applied to convert from any given base to decimal ×To convert binary numbers to decimal numbers, you have to
multiply each binary digit by two to the power of its place number, from right to left, and then add all the results together.
Steps to convert binary to decimal:
- Write down the binary number.
- Starting with the least significant digit (LSB - the rightmost one), multiply the digit by the value of the position.
- Continue doing this until you reach the most significant digit (MSB - the leftmost one).
- Add the results and you will get the decimal equivalent of the given binary number.
,In short, to convert binary numbers to decimal numbers, you have to
multiply each binary digit by two to the power of its place number, from right to left, and then add all the results together. When calculating the place number the rightmost digit place number has value zero.
Step 1: Write down the binary number. Step 2: Starting with the least significant digit (LSB - the rightmost one), multiply the digit by the value of the position. Continue doing this until you reach the most significant digit (MSB - the leftmost one). Step 3: Add the results and you will get the decimal equivalent of the given binary number.
To convert the binary number to a decimal number, we use the
multiplication method. In this conversion process, if a number with base n has to be converted into a number with base 10, then each digit of the given number is multiplied from the Most Significant Bit (MSB) to the Least Significant Bit (LSB) with reducing the power of the base.To convert it from binary to decimal, we need to multiply each bit by the corresponding power of
two and sum the results. Starting from the leftmost bit and moving to the right, the powers of two decrease by one with each subsequent bit.The idea is to extract the digits of a given binary number starting from the rightmost digit and keep a variable
dec_value. At the time of extracting digits from the binary number, multiply the digit with the proper base (Power of 2) and add it to the variable dec_value. In the end, the variable dec_value will store the required decimal number.