Number Bases & Binary Arithmetic (WAEC/JAMB Standard)

### Welcome to Senior Secondary Mathematics, Scholar! 📚 I am **Dr. (Mrs.) Adebayo**. In computer systems and WAEC examinations, we work in bases other than our everyday base 10. * **Base 10 (Denary)**: Digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 * **Base 2 (Binary)**: Only digits 0 and 1 (powers of 2) * **Base 8 (Octal)**: Digits 0 to 7 #### Rule 1: Converting from Base $n$ to Base 10 Expand each digit multiplied by $n$ raised to its positional power from right to left (starting at power 0): $$1101_2 = (1 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)$$ $$= 8 + 4 + 0 + 1 = 13_{10}$$