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Question

Write the following numbers using base 10 and exponents:

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Solution

(i) 12345(10) =1 × 104 + 2 × 10 3+ 3 × 102 + 4 × 101 + 5 × 100

= 104 + 2 × 10 3+ 3 ×102 + 4 × 101 + 5.

(ii) 1010.0101(10) = 1 × 10 3+ 0 ×102 + 1 × 101 + 0 × 100 + 0 × + 1 × + 0 × + 1 ×

= 10 3 + 101 + +

(iii) 0.1020304(10) = 1 × + 0 × + 2 × + 0 × + 3 × + 0 × + 4 ×

= + 2 × + 3 × + 4 ×


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