GATE | GATE-IT-2004 | Question 43

The number (123456)₈ is equivalent to

(A) (A72E)16 and (22130232)4
(B) (A72E)16 and (22131122)4
(C) (A73E)16 and (22130232)4
(D) (A62E)16 and (22120232)4

Answer: (A)
Explanation: (123456)8

=(001 010 011 100 101 110)2

To convert it into hexadecimal,make groups of 4

(1010 0111 0010 1110)

=(A72E)16

To convert it into base 4,make groups of 2

(10 10 01 11 00 10 11 10)

=(22130232)4

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