Final answer:
The numbers 426₁₈, 1110101₂, and EF3B₁₆ converted to base ten are 1338, 117, and 61243 respectively, by multiplying each digit by the base raised to the power of its position and summing the results.
Step-by-step explanation:
To convert numbers from one base to another, we use the position of each digit and the base of the number system. Let's convert each of the given numbers to base ten.
- 426₁₈: In base 18, we multiply each digit by 18 raised to the power of its position, counted from right to left starting at zero. So, 426₁₈ is calculated as (4 × 18²) + (2 × 18¹) + (6 × 18°) = 1296 + 36 + 6 = 1338₁₀.
- 1110101₂: In base 2, we do the same using powers of 2. So, 1110101₂ is calculated as (1 × 2⁶) + (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2°) = 64 + 32 + 16 + 0 + 4 + 0 + 1 = 117₁₀.
- EF3B₁₆: In base 16 (hexadecimal), E represents 14, F represents 15, and B represents 11. Using their numerical equivalents and the powers of 16, we get (14 × 16³) + (15 × 16²) + (3 × 16¹) + (11 × 16°) = 57344 + 3840 + 48 + 11 = 61243₁₀.