Binary to decimal online converter
Binary conversion decimal
To multiply each digit of the binary from right to left by the corresponding power of 2.
For example: binary number 1101.01 converted to decimal
\(1101.01(2)=1 \times 2^0+0 \times 2^1+1 \times 2^2+1 \times 2^3 +0 \times 2^{-1}+1 \times 2^{-2}=1+0+4+8+0+0.25=13.25\)
So the general formula is as follows:
\(abcd.efg(2)=d \times 2^0+c \times 2^1+b \times 2^2+a \times 2^3+e \times 2^{-1}+f \times 2^{-2}+g \times 2^{-3}\)
Or use the following method:
The binary number is first written as an expansion of weighted coefficients, and then summed according to the decimal addition rule. This practice is called the "additive by weight" method.
Decimal conversion binary
The method of "except 2, repetitive order" is adopted. The specific method is: divide the decimal integer by 2, you can get a quotient and remainder; then use 2 to remove the quotient, and then get a quotient and remainder, and then proceed until the quotient is 0, and then use the first remainder as the binary number. The lower significant bit, the resulting remainder is used as the upper significant digit of the binary number, in order.
Enter the binary number: 1110
Select conversion: binary to decimal
Click "Convert Calculation" and output the result
Decimal: 14
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