Question on base of digits

Question

Given answer is 101 but I am getting 35. Please check.

Comments

1  1

     2.3                        3+2=5 => 5=11 , 1+2+1=4 =>10

+   1.2                       

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    10 . 1

10.1*10=101

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(2.3)₄ +(1.2)₄ =(10.1)₄ =(Y)₄

Y  converted  in base 10

(10.1)₄ =  1*4+0*1+1/4  = 4 + 0.25 = 4.25

Then Y*10 is 4.25 * 10=  (42.5)₁₀

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42.5 is right ?

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This is right as 10 in  decimal directly multiplied with Y. That why Y  converted from  base 4 to 10.

Answer 1

$(3)_4+(2)_4 =(5)_{10} =(11)_4$, that will give one carry. 

Now, carry, $(1)_4+(2)_4+(1)_4=(4)_{10}=(10)_4$

So, on adding we get,   $(2.3)_4+(1.2)_4=(10.1)_4 $

$(10.1)_4 \times (10)_4=(101)_4$

Or, Another way is to convert them in decimal, then after doing all calculation, convert back to desired base. 

Note: In base $4$, we can only {$0,1,2,3$}, in any calculation(adding or multiplication)  if get $4$ or above. It need to convert back into base $4$

Comments

Thanks a lot!

Answer 2

Convert into binary then add  and again convert to 4 base with multiplication with 10

(2.3)₄ + (1.2)_{4 =>}  (01.11)₂+ (01.10)₂  => (0100.01)₂  =>  (10.1)₄ 

(10.1)_{4 *}10 = (101)₄     Solved

Answer 3

(2.3)₄ +(1.2)₄ =(10.1)₄ =(Y)₄

Y  converted  in base 10

(10.1)₄ =  1*4+0*1+1/4  = 4 + 0.25 = 4.25

Then Y*10 is 4.25 * 10=  (42.5)₁₀