Hexadecimal Equations (Problem 2 2 , Version 2 2 )

2 E + 19 E + 6 E = 2E + 19E + 6E = ?

Give your answer in denary.

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


The answer is 570.

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1 solution

Yajat Shamji
Jul 3, 2020

E = 14 E = 14

2 × 1 6 1 = 32 + 14 = 46 2 \times 16^1 = 32 + 14 = 46

6 × 1 6 1 = 96 + 14 = 110 6 \times 16^1 = 96 + 14 = 110

1 × 1 6 2 + 9 × 1 6 1 = 1 × 256 + 9 × 16 = 256 + 144 = 400 + 14 = 414 1 \times 16^2 + 9 \times 16^1 = 1 \times 256 + 9 \times 16 = 256 + 144 = 400 + 14 = 414

46 + 110 + 414 46 + 110 + 414

110 + 460 110 + 460

570 570

Answer 570 \rightarrow \fbox{570}

For the Bonus:

570 570

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

570 ( mod ( 16 ) ) = 10 570 (\text{mod}(16)) = 10

35 ( mod ( 16 ) ) = 3 35 (\text{mod}(16)) = 3

2 ( mod ( 16 ) ) = 2 2 (\text{mod}(16)) = 2

Read from bottom to top:

2310 2310

Since 10 = A 10 = A :

23 A 23A

Bonus Answer 23 A \rightarrow 23A

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