EE 105 Lecture 9-10-13 SG3(1)

Bn 1 bn 2 b1b0 b1b2 bm1bm n 1 bi 2i

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Unformatted text preview: M= the number of digit after the decimal point) (2) For the binary system representation, the formula is almost the same, the only difference is that it is expanded in powers of 2 instead of powers of 10. bN −1 bN − 2 ⋅ ⋅ ⋅ b1b0 .b−1b−2 ⋅ ⋅ ⋅ b−(M−1)b−M N − 1 = ∑ bi × 2i i = −M (3) Binary system converted to decimal system Multiply each bit by its associated power of 2, and then add these products together. Example: 1010.1012 = (1 × 23) + (0 × 22) + (1 × 21) + (0 × 20) + (1 × 2−1) + (0 × 2−2) + (1 × 2−3) = (1 × 8) + (0...
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