Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 9 (Q.No. 2)
2.
(22)4 + (101)3 - (20)5 = (x)4 + (4)x+1 where x > 4. The value of x is
6
4
12
8
Answer: Option
Explanation:

(22)4 + (10)10 - (10)10 = (22)4

Since x > 4, i.e. all the number systems with base greater than 4.

All these will contain symbol '4' which will have same value in all bases.

Converting 4 into base '4'

system (4)10 (10)4

Now (22)4 = (x)4 + (10)4

(x)4 = (22)4 - (10)4 = (12)4

x = 12.

Discussion:
1 comments Page 1 of 1.

Argha said:   5 years ago
I think the Answer is option A.

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