A number theory problem by Dominick Hing

Number Theory Level 1

Express the number 45 in binary code. Your answer should be expressed in base 2.


The answer is 101101.

Dominick Hing by Dominick Hing , 23, USA

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2 solutions

Tushar Malik
Aug 12, 2014

45/2=22 and 1 is left remainder, then 22/2=11 and 0 is left as the remainder. Keep doing this and at the last the answer will be read from downwards to upwards i.e. 101101

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Arun Ar
Aug 11, 2014

factorize 45 using 2 and collect the remainders in the reverse order will give binary form of 45

101101 = 2^5 + 0 + 2^3 + 2^2 + 0 + 2^0 

            = 45
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