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What will be the value of A and B: A8 + 96 = 1AB

Question

What will be the value of A and B: A8 + 96 = 1AB

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Solution

This is a problem of base 16 (hexadecimal) arithmetic.

Step 1: Convert the hexadecimal numbers to decimal. A in hexadecimal is 10 in decimal and 8 in hexadecimal is 8 in decimal. So, A8 in hexadecimal is 168 in decimal. Similarly, 96 in hexadecimal is 150 in decimal.

Step 2: Add the decimal numbers. 168 (A8 in decimal) + 150 (96 in decimal) = 318

Step 3: Convert the sum back to hexadecimal. 318 in decimal is 13E in hexadecimal.

So, A = 1 and B = 3E.

This problem has been solved

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