Question

Representation of hexadecimal number (6DE)H in  decimal:

(a) 6 * 16^2 + 13 * 16^1 + 14 * 16^0

(b) 6 * 16^2 + 12 * 16^1 + 13 * 16^0

(c) 6 * 16^2 + 11 * 16^1 + 14 * 16^0

(d) 6 * 16^2 + 14 * 16^1 + 15 * 16^0

The question was posed to me during an online exam.

My doubt stems from Number System in section Number System and Codes of Digital Circuits

Answer 1

Correct choice is (a) 6 * 16^2 + 13 * 16^1 + 14 * 16^0

The explanation is: Hexadecimal to Decimal conversion is obtained by multiplying 16 to the power of base index along with the value at that index position.

In hexadecimal number D & E represents 13 & 14 respectively.

             So, 6DE = 6 * 16^2 + 13 * 16^1 + 14 * 16^0.