Question

prove that

(1101 )2 - (11)10 = 2

Hint
computer + math

good luck ✌️✌️✌️☺️☺️✌️​

Answer 1

Given

(1101)2 - (11)10= 2

Since

1101 is in binary form

so in decimal

1101 = 8+4+0+1= 13

Now

LHS

(1101)2 - (11)10

(13)10 - (11)10

2(10)

or

2

Hence LHS = RHS

point to know

We represent binary number

(1101)2

we represent decimal number

(12)10 or 12

:-)

Answer 2

(1101)2 - (11)10 = 2

=> binary form 1101 is 13

=> (13)10 - 11(10) = 2

=> 2(10) = 2

binary form of 2(10) is 2

Proved

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