Hexadecimal?

Number Theory Level pending

What is the equivalent hexadecimal number of 765?

1AC 2FD 4B3 65D

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1 solution

Varun Suvarna
Oct 24, 2014

This is a simple problem for those who have studied number system in computer science. Hexadecimal means base 16. here, D e c i m a l H e x a d e c i m a l 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F \begin{matrix} Decimal & Hexadecimal \\ 0 & 0 \\ 1 & 1 \\ 2 & 2 \\ 3 & 3 \\ 4 & 4 \\ 5 & 5 \\ 6 & 6 \\ 7 & 7 \\ 8 & 8 \\ 9 & 9 \\ 10 & A \\ 11 & B \\ 12 & C \\ 13 & D \\ 14 & E \\ 15 & F \end{matrix}\\ \\ Now that we know this, our job is simple. There are many methods to solve, but here I will solve by base division method. As the name suggests, we will divide the given number{here, 752} with the base[i.e. 16] and write the base aside in hexadecimal form. Then, after this process is complete, we will gather all the remainders and write it as a hexadecimal number from bottom to top. this number is our Result! Now you can do, I suppose.

Explanation appreciated.

Sunil Pradhan - 6 years, 7 months ago

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