# Question 2 (Decimal and binary number system)

Question2: Convert 541 into binary system.

a) (1010011101)_2                   b( (1010011001)_2                      c) ( (1011011101)_2                    d)( (1010211101)_2

Solution:

We should keep in mind that binary system is also called – base 2 number system – as well.

To convert 541 into binary system we divide it with 2 ( always) as under;

Then starting from bottom of table in the direction of arrow , we write remainder terms in a bracket and put the dividend as base i-e

541 in binary form is  ​$$(1010011101)_2$$

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Insert math as
$${}$$