Question

RARE
5)
What is the answer of the following addition in hexadecimal number system
(6E)16 + (C5)16
a. (135)16
(33)16
C. (133)16
d. (130)16

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Answer 1

Explanation:

e= 13

6*13=78

c=11

5*11= 55

so total (78+55)16

(133)16

option c is the answer

Answer 2

Answer:

c. (133) base 16 is the correct option.

Explanation:

• The given question requires hexadecimal addition.

• In a hexadecimal number system, digits range from 0-9 followed by the alphabets A-F. Since it has a total of 16 unique characters, it is a base 16 number system.

Here,

10 is denoted by A

11 is denoted by B

12 is denoted by C

13 is denoted by D

14 is denoted by E

15 is denoted by F

• When we add 6E

                              +C5

                              133

• This is because E+5=14+5=19.

• Now, 19 is not a part of hexadecimal system. To convert decimal 19 to hexadecimal form, we divide 19 by 16 and take the remainder and quotient in that order to be the hexadecimal conversion.

• Thus, we obtain 13.

• Now, we have 6+C+1(carry). This gives 13 again in a similar manner.

Hence, the final result obtained is 133 in hexadecimal form.