NIMCET 2021 Question Paper with solutions

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Question : 99 of 120

Marks: +1, -0

The number

(2217)_{8}

is equivalent to

$(608)_{16}$
$(028 F)_{16}$
$(048 {F})_{16}$
$(2297)_{10}$

Solution:

(2217)

_{8}

convert into Decimal

(2217)_{8}=\table 2,2 ,1 ,7; 8^{3} ,8^{2} ,8^{1} ,8^{0}

=2 \×512+2 \×64+1 \×8+7 \×1

=(1167)_{10}

Convert into Hexadecimal

16	1167
16	72	F
	4	8
		4
		0

So,

(2217)_{8}=(1167)_{10}=(048 {F})_{16}

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