Electronics and Communication Engineering - Exam Questions Papers - Discussion

2. 

(22)4 + (101)3 - (20)5 = (x)4 + (4)x+1 where x > 4. The value of x is

[A]. 6
[B]. 4
[C]. 12
[D]. 8

Answer: Option C

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.


Argha said: (Jun 19, 2020)  
I think the Answer is option A.

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