QUESTION 40 What is the decimal equivalent of the given hexadecimal number?

Convert hexadecimal (133)₁₆ to decimal by multiplying each digit by its positional power of 16: (1 × 16²) + (3 × 16¹) + (3 × 16⁰) = 256 + 48 + 3 = 307. Option D is a common trap for students who confuse the base with the digit values.

Step-by-step Derivation:
Step-by-step hexadecimal to decimal conversion:

(133)₁₆ = 1×16² + 3×16¹ + 3×16⁰
= 1×256 + 3×16 + 3×1
= 256 + 48 + 3
= 307₁₀

Verification: 307 ÷ 16 = 19 remainder 3 → digit 3
19 ÷ 16 = 1 remainder 3 → digit 3
1 ÷ 16 = 0 remainder 1 → digit 1
Reading remainders bottom-to-top: (133)₁₆ ✓