Question

Convert (111.01)2 + to its decimal equivalent.​

Answer 1

Answer:

this is your answer hope this helps

Explanation:

What is 111.01 binary in decimal? 111.01 from binary to decimal is 7.25. Here we show you how to write 111.012 in decimal and how to convert 111.01 from base-2 to base-10.

Answer 2

Answer:

111.012 in decimal

7.2510

Explanation:

To convert binary number 111.01, 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 111.01.

Using the above steps, we first convert the integral part 111 to decimal number (Don't forget that we start from ones place to so on...)

Decimal equivalent of "1" = 1 × 2^0 = 1

Decimal equivalent of "1" = 1 × 2^1 = 2

Decimal equivalent of "1" = 1 × 2^2 = 4

Decimal equivalent of "111" = 421

111 = 7

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 = 0

Decimal equivalent of "1" = 1 × 2^-2 = 0.25

Decimal equivalent of "0.01" = 00.25

0.01 = 0.25

Here is the final answer, The binary number 111.01 converted to decimal is therefore equal to:

= 111.012

= 710 + 0.2510

= 7.2510

 

Here are some more examples of binary to decimal conversion