If 7 + 4
= 1,then
=
B) -
D) 14x + 8y.
E) 7x + 4y.

Question

If 7  + 4 
= 1,then 
=
B) - 
D) 14x + 8y. 
E) 7x + 4y.

Quizplus · Accepted Answer

When we add two numbers in base 16 (hexadecimal), we carry over to the next place value when the sum exceeds F (which represents 15 in decimal). So we can rewrite the given equation as:

(7 + 4) 11ea83f6_6352_de6c_b5a5_1147c535b920_TB6578_11_TB6578_11 + carry = 1

The sum of 7 and 4 in hexadecimal is B, so we have:

B 11ea83f6_6352_de6c_b5a5_1147c535b920_TB6578_11_TB6578_11 + carry = 1

Since B + carry cannot exceed F (15), the only possibility is that carry is equal to 5 (represented as 5 in hexadecimal):

B 11ea83f6_6352_de6c_b5a5_1147c535b920_TB6578_11_TB6578_11 + 5 = 1

Subtracting 5 from both sides gives:

B 11ea83f6_6352_de6c_b5a5_1147c535b920_TB6578_11_TB6578_11 = C 11ea83f6_6352_de6c_b5a5_1147c535b920_TB6578_11_TB6578_11

Therefore, the answer is choice B.