What is the decimal value of hexadecimal 2E?

What is the decimal value of hexadecimal 2E?

• A. 32
• B. 64
• C. 46
• D. 16

Answer: (C)

Hexadecimal is base 16, so each position is a power of 16. In 2E, the left digit 2 sits in the 16^1 place and the right digit E sits in the 16^0 place. The letter E represents 14 in decimal. So the value is 2×16 + 14×1 = 32 + 14 = 46. Digits go 0–9, then A–F for 10–15, which is why E is 14. If the second digit were 0, you’d get 32; if the left digit were 4 with a zero in the right, you’d get 64; and if it were 1 with zero, you’d get 16. Here you combine 2 and E to get 46.

Hexadecimal is base 16, so each position is a power of 16. In 2E, the left digit 2 sits in the 16^1 place and the right digit E sits in the 16^0 place. The letter E represents 14 in decimal. So the value is 2×16 + 14×1 = 32 + 14 = 46. Digits go 0–9, then A–F for 10–15, which is why E is 14. If the second digit were 0, you’d get 32; if the left digit were 4 with a zero in the right, you’d get 64; and if it were 1 with zero, you’d get 16. Here you combine 2 and E to get 46.