How to Convert 101010.01 from binary to decimal

To convert binary number 101010.01, we convert its integral and fractional part individually and then add them to get the equivalent decimal number, as below:

In integral part of binary number, multiply ones place with 2^0, tens place with 2^1, hundreds place with 2^2 and so on from right to left.

In the fractional part of binary number, multiply tenths place by 2^-1, hundredths place by 2^-2 and so on from left to right

Add them all together you got from step 1 & step 2 to get decimal equivalent of 101010.01.

Using the above steps, we first convert the integral part 101010 to decimal number (Don't forget that we start from ones place to so on...)

Decimal equivalent of "0" = 0 × 2^0 = 0Decimal equivalent of "1" = 1 × 2^1 = 2Decimal equivalent of "0" = 0 × 2^2 = 0Decimal equivalent of "1" = 1 × 2^3 = 8Decimal equivalent of "0" = 0 × 2^4 = 0Decimal equivalent of "1" = 1 × 2^5 = 32Decimal equivalent of "101010" = 3208020 101010 = 42

Now we will convert the fractional part 0.01 to decimal form (Don't forget that we start from tenths palce to so on..):

Decimal equivalent of "0" = 0 × 2^-1 = 0Decimal equivalent of "1" = 1 × 2^-2 = 0.25Decimal equivalent of "0.01" = 00.25 0.01 = 0.25

Here is the final answer, The binary number 101010.01 converted to decimal is therefore equal to: = 101010.012 = 4210 + 0.2510 = 42.2510