Ies 2005

Question

If(2.3)base4 +(1.2)base4=(y)base4.what is the value of y

Comments

10.1

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(10.1)base 4

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I get the same 10.1 base 4

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is it really asked in ies?

What is the answer given?

Answer 1

u can do it by two ways :--

1) by converting base 4 into decimal adding them and than converting them back to base 4.

 =(2.3)4 + (1.2)4

= (2* 4⁰+ 3*1/4) + (1* 4⁰ + 2+1/4) =

=3 + 5/4 ( here u can minimise the values as) 

 =3+(1 + 1/4)

=4+1/4 u can directly convert it to base 4 now (no need to divide)

= (10.1)₄

2) as every number has base 4 so adding them both and if we get an overflow we take the values as xmod4 and extra value as carry.

                                ( 2 . 3)

                             + (1 . 2)

                                10 .1 

( for decimal values 3+2=5 and 5 mod 4=1 carry =1

for units place 2+1+1 = 4 and 4mod 4 = 0 carry =1)