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In The Binary System - Each Digit Represents An Increasing Power Of 2 - With The Rightmost Digit Representing 20 - The Next Representing 21 - Then 22 - And So On. The Equivalent Decimal Representation Of A Binary Number Is Sum Of The Powers Of 2 Which Each Digit Represents. For Example - The Binary Number 100101 Is Converted To Decimal Form As Follows: 1001012 = [ ( 1 ) × 25 ] + [ ( 0 ) × 24 ] + [ ( 0 ) × 23 ] + [ ( 1 ) × 22 ] + [ ( 0 ) × 21 ] + [ ( 1 ) × 20 ] - 1001012 = [ 1 × 32 ] + [ 0 × 16 ] + [ 0 × 8 ] + [ 1 × 4 ] + [ 0 × 2 ] + [ 1 × 1 ] 1001012 = 3710

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1. In The Binary System - Each Digit Represents An Increasing Power Of 2 - With The Rightmost Digit Representing 20 - The Next Representing 21 - Then 22 - And So On. The Equivalent Decimal Representation Of A Binary Number Is Sum Of The Powers Of 2 Which Each Digit Represents. For Example - The Binary Number 100101 Is Converted To Decimal Form As Follows: 1001012 = [ ( 1 ) × 25 ] + [ ( 0 ) × 24 ] + [ ( 0 ) × 23 ] + [ ( 1 ) × 22 ] + [ ( 0 ) × 21 ] + [ ( 1 ) × 20 ] - 1001012 = [ 1 × 32 ] + [ 0 × 16 ] + [ 0 × 8 ] + [ 1 × 4 ] + [ 0 × 2 ] + [ 1 × 1 ] 1001012 = 3710





 
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