Question

w-hat -is 5A - 1A

in bas-e 11

use co-mpleme-nt me-thod

Answer 1

decimal conversion 5A and 1A would be:-

(5A)₁₆ = (5 × 16¹) + (10 × 16⁰) = (90)₁₀

(1A)₁₆ = (1 × 16¹) + (10 × 16⁰) = (26)₁₀

binary representation :-

(5A)₁₆ = 1011010

(1A)₁₆ = 11010

so,

(90)₁₀-(26)₁₀ can be weitten as :

(90)₁₀ +(-(26)₁₀)

Now we shall take 2's complement of 26 and add it 90 that will give the ans:-

1011010 +00110

=1100000(64)₁₀

to check take 2's complement will be:

= 100000(64)₁₀

Now convert it into base 11 universe :

   To do that divide 64 by 11 and set reminder as the least bit and go on:

=(59)₁₁

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