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erma4kov [3.2K]
3 years ago
8

What is the sum of each pair of hexadecimal integers? a. 6b4 + 3fe b. A49 + 6bd?

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Answer:

a)   AB2

b)   1106

Explanation:

Hex addition can be achieved through repeated subtraction of 16 from the decimal sum of same place values of hex numbers until the result is reached to one of the hex digits from 0 to F. The carry increases by 1 where each time the number 16 is subtracted from the hex numbers decimal sum. The below example lets you understand how to perform hex numbers addition

(a)   6B4 + 3FE

                   6 B 4

               +  3 F E

-------------------------------------------------

                  A B 2      


(b)        A 4 9

       +  6 B D

---------------------------

         1 1 0 6

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Explanation:

Given that the options of the set of ordered pairs.

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Option A: \{(-12,8),(-15,8),(-5,-8),(-12,-8)\}

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From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.

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Hence, Option A is not the correct answer.

Option B: \{(8,-9),(-8,-5),(8,-7),(-8,-6)\}

From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.

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Hence, Option B is not the correct answer.

Option C: \{(13,-3),(13,0),(13,-1),(13,-1)\}

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Hence, Option C is not the correct answer.

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.

Thus, the ordered pairs \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} is a function.

Hence, Option D is the correct answer.

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Step-by-step explanation:

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