Binary to Decimal Conversion in tamil | Calculation |
Binary to Decimal Conversion
Step 1: Convert (1001110)2 to decimal system
For conversion of (1001110) to the decimal number
system, each coefficient is multiplied by the
corresponding power of 2 and added to obtain the decimal number
Binary to Decimal Conversion description
Binary is a number system with only two digits, 0 and 1. Decimal, on the other hand, is a number system with ten digits, 0 to 9. Binary is commonly used in computing and digital electronics because it is easier to represent and manipulate using electronic devices.
To convert a binary number to its decimal equivalent, you can use the following steps:
Write down the binary number.
Starting from the rightmost digit, assign each digit a power of 2, with the rightmost digit being 2^0 (i.e., 1), the next digit being 2^1 (i.e., 2), and so on.
Multiply each digit by its assigned power of 2.
Add up the products to get the decimal equivalent of the binary number.
For example, let's convert the binary number 1011 to its decimal equivalent:
Write down the binary number: 1011.
Assign powers of 2 to each digit, starting from the rightmost digit: 2^0, 2^1, 2^2, and 2^3.
Multiply each digit by its assigned power of 2: 1 x 2^0 = 1, 1 x 2^1 = 2, 0 x 2^2 = 0, and 1 x 2^3 = 8.
Add up the products: 1 + 2 + 0 + 8 = 11.
Therefore, the decimal equivalent of the binary number 1011 is 11.
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