Question

Perform the given operation on the following numbers without converting them into decimal.
(15F)16 + (A7)16 = (?)16
​

Answer 1

Given : (15F)₁₆ + (A7)₁₆ = (?)₁₆

To Find : Value with out converting into decimal

Solution:

(15F)₁₆ + (A7)₁₆ = (?)₁₆

Hexadecimal

0 1 2 3 4 5 6 7 8 9 A B C D E F  

F + 7  =  16        

Hence 1 will be carry over

5 + A + 1   =  10      

1 will be carry over

1 + 1 = 2

(15F)₁₆ + (A7)₁₆ = (206)₁₆

Converting into decimal

(15F)₁₆  = 1 x 16² + 5 x 16 + 15  = 256 + 80 + 15  = 351

(A7)₁₆  = 10 x 16  + 7  = 167

351 + 167 =   518

         518

16         32    6

16            2   0

16            0    2

 

     518 =  (206)₁₆

(15F)₁₆ + (A7)₁₆ = (206)₁₆

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