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Question
Compute 1024
Solution
1024 = (100 + 2)4
= 4C0 (100)4(2)0 + 4C1 (100)4–1 (2)1 + 4C2 (100)4–2 (2)2 + 4C3 (100)4–3 (2)2 + 4C4 (100)4–4 (2)4
= `100^4 + 4 xx 100^3 xx 2 + (4 xx 3)/(1 xx 2) xx 100^2 xx 4 + 4 xx 100 xx 8 + 1 xx 1 xx 2^4`
= 100000000 + 8 × 1000000 + 24 × 10000 + 3200 + 16
= 100000000 + 8000000 + 240000 + 3216
= 108243216
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