1.

Representation of hexadecimal number (6DE)H indecimal:(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 * 16^0The 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»

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.



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