Subjects algebra

Express Base2

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Express Base2


1. **State the problem:** Express the numbers 16 and 14 as powers or combinations of base 2. 2. **Express 16 with base 2:** 16 is a power of 2 since $16 = 2^4$ because $2 \times 2 \times 2 \times 2 = 16$. 3. **Express 14 with base 2:** 14 is not a pure power of 2, so we express it as a sum of powers of 2 as represented in binary. We find which powers of 2 add up to 14: $14 = 8 + 4 + 2 = 2^3 + 2^2 + 2^1$ 4. **Final answers:** - $16 = 2^4$ - $14 = 2^3 + 2^2 + 2^1$