SOLUTION: I need help with converting the following equations from Binary to decimal and I need to show the working 10101100011 10011111 Then I need to convert the following from deci

Algebra ->  Decimal-numbers -> SOLUTION: I need help with converting the following equations from Binary to decimal and I need to show the working 10101100011 10011111 Then I need to convert the following from deci      Log On


   



Question 774282: I need help with converting the following equations from Binary to decimal and I need to show the working
10101100011
10011111
Then I need to convert the following from decimal numbers to binary
7625
872

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There are no equations here. Equations have equals signs, =, in them. Hence the name.

In a binary number, the digit on the far right is worth either 1 or 0. If it is a 1, write down a 1, if it is zero, write zero.

The next digit is worth twice the previous digit, so if the second digit from the right is a 1, add a 2 to your list of numbers, but if it is a zero, write zero.

Repeat that last step until you run out of digits. The third from the right is worth 4 if there is a 1 in that position, the fourth digit is worth 8, the fifth, 16...and so on.

Once you have encoded all of the digits, add up the values that you recorded.

John

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