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Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number?

1. $15$
2. $21$
3. $\text{D}2$
4. $528$

### 1 comment

$(210)_{3}= (21)_{10}=(15)_{16}$

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Firstly convert base 3 into a decimal number system(Base 10):

$(210)_3=(x)_{10}\implies 0*3^0+1*3^1+2*3^2=(21)_{10}$

Now convert $(21)_{10}$ into a hexadecimal system. dividing by $16$ that is:

$(21)_{10}=(z)_{16}$

$\therefore z =(15)_{16}$

Option $A$ is correct.

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53 150 261

ANS IS A 15.

FIRST CONVERT (210)base 3 TO DECIMAL AND THEN DECIMAL TO HEXADECIMAL

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1 4
$(210)_3 = (21)_{10} = (x)_{16}$

Since the base is increasing so the value of  $x < 21$, therefore option $A$ must be correct.
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2 17 26

$(210)_{3} = 2*3^2+ 1*3^1+0*3^0= (21)_{10}$

$(21)_{10}=(15)_{16}$

Option A) is correct

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