How do you convert binary to decimal?

Answer 1

First of all, take a binary number like

10111

then take the first digit on the right and multiply it by 2^0 or 1

1 X 1 = 1

then you take the second digit and multiply it by 2^1 or 2

1 X 2 = 2

then you take the third digit and multiply it by 2^2 or 4

1 X 4 = 4

then you continue to the next digit and multiply it by 2^3 or 8

0 X 8 = 0

you proceed to the next digit and multiply it by 2^4 or 16

1 x 16 = 16

Finally, you add all the answers from the multiplication problems for each digit (1 + 2 + 4 + 0 + 16, for the above problem)

if you convert 10111 from binary into decimal you should get 23

If there are more digits, then you continue to multiply the next digit by 2 raised to the next power, until you reach the last digit, but you follow the same steps.

Answer 2

You start with a number in decimal for example...

151 ------- if its odd, write a 1 (if it's even write a 0)

then divide by two

75. 5 -- then moving to the left of where you wrote the first digit write if it's odd 1 (even 0)

now drop whatever decimal you have

75----- then divide by two again

37.5 so write a one (or 0 if it's even) to the left of the other numbers

drop the decimal

37----- then divide by two

18.5--------so write a 0 (or 1 if it's odd) to the leftof the other numbers

this far you should have 0111

drop the decimal

18, then divide by 2

9.5---- so write a 1 (or 0 if it's even) to the left of the other numbers

drop the decimal

9, divide by two

4.5, so write a 0 (or 1 if it's odd) to the left of the other numbers

drop the decimal

4, divide by two

2, so write a 0 (or 1 if it's odd) to the left of the other numbers

(drop the decimal)

2, then divide by two

you should always end up with 1 or a 1 with a decimal, like 1.5

since the one is odd, you write a one to the left of the other numbers

if you convert 151 into binary you should end up with 10010111

(The math is x/2, drop decimal, x/2, drop decimal)

Once you are done, make sure you converted the right way using this decimal to binary tool - http://www.stringfunction.com/decimal-binary.html