Question 1) Convert 132 from decimal to binary showing all intermediary steps.

Question 2) Give the rules for binary addition and exemplify the role of the carry bit.

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There are several methods to convert a number from decimal to binary. Here I show you an easy   one that will help you for a better understanding.
We have to convert 132 from decimal into binary – this means it will correspond a number formed only by 0 and 1.

In this method we use the division by 2 of the initial number to convert. We divide the initial number by 2 and we retain the reminder of this division , we continue to divide the quotient by 2 and we retain the new reminder and so on.

132 : 2 = 66 reminder 0 (1)
66: 2 = 33 reminder 0    (2)
33: 2= 16 reminder 1   (3)
16:2 =8 reminder 0    (4)
8: 2 = 4 reminder 0 (5)
4:2 =2 reminder 0   (6)...

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