Subjects number theory

Number 11 41B518

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to explain the number 11 in base 10 (decimal) and how it can be understood or represented. 2. In base 10, the number 11 means 1 ten and 1 one, which can be written as: $$11 = 1 \times 10^1 + 1 \times 10^0$$ 3. This expands to: $$11 = 1 \times 10 + 1 \times 1 = 10 + 1 = 11$$ 4. So, the number 11 is simply the sum of ten plus one. 5. If you want to express 11 in other bases, for example base 2 (binary), you convert it by dividing by 2 repeatedly: - $11 \div 2 = 5$ remainder $1$ - $5 \div 2 = 2$ remainder $1$ - $2 \div 2 = 1$ remainder $0$ - $1 \div 2 = 0$ remainder $1$ 6. Reading the remainders from bottom to top, 11 in binary is: $$11_{10} = 1011_2$$ 7. This means 11 in decimal equals 1011 in binary. This explanation covers the meaning of 11 in decimal and its binary representation.