Hexadecimal Equations (Problem 1 1 )

2 D + 9 D = 2D + 9D = ?

Give your answer in denary.

Bonus (in the Discussion): Convert the answer to hexadecimal


The answer is 202.

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1 solution

Yajat Shamji
Jul 1, 2020

D = 13 D = 13

2 × 1 6 1 = 32 2 \times 16^1 = 32

9 × 1 6 1 = 144 9 \times 16^1 = 144

32 + 144 + 13 + 13 32 + 144 + 13 + 13

32 + 144 + 26 32 + 144 + 26

58 + 144 58 + 144

8 + 194 8 + 194

202 202

Answer 202 \rightarrow \fbox{202}

For the Bonus:

202 202

Do division by 16 16 to get the L.H.S of the modulo calculations.

202 ( mod ( 16 ) ) = 10 202 (\text{mod}(16)) = 10

12 ( mod ( 16 ) ) = 12 12 (\text{mod}(16)) = 12

Read the remainders from bottom to top:

1210 1210

Since 12 = C , 10 = A 12 = C, 10 = A :

C A CA

Bonus Answer C A \rightarrow CA

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