Convert the value 66 to Binary using the place holder method?   Wirte the equivelant equation to represent the decimal value 1986?

Computer Networking: A Top-Down Approach (7th Edition)
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Convert the value 66 to Binary using the place holder method?

 

Wirte the equivelant equation to represent the decimal value 1986?

Expert Solution
Convert 66 to binary

1)Divide 66 by 2 . Keep the Whole part for the further step and set the remainder aside.

2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

3) Repeat Step 2 above until the Whole part is 0.

4) Write down the remainders in reverse order to get the result.

Here we will show our work so you can follow along:

66 / 2 = 33      0 remainder
33 / 2 = 16     1 remainder
16 / 2 = 8       0 remainder
8 / 2 = 4         0 remainder
4 / 2 = 2         0 remainder
2 / 2 = 1         0 remainder
1 / 2 = 0         1 remainder

(66)10 = (1000010)2

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