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GATE 2008
November 19, 2023
Question 12676 – Control-Statement
November 19, 2023
GATE 2008
November 19, 2023
Question 12676 – Control-Statement
November 19, 2023

GATE 2014 [Set-3]

Question 10

Consider the equation: (7526)8 – (Y) = (4364)8, where (X)N stands for X to the base N. Find Y.

A
1634
B
1737
C
3142
D
3162
Question 10 Explanation: 
(7526)8 – (Y)8 = (4364)8
⇒ 1/8 = (7526)8 – (4364)8
Base 8 ⇒ 0 to 7 digits

When you are borrowing you will add the value of the base, hence 2 becomes (2+8) = 10
Y = 3142
Correct Answer: C
Question 10 Explanation: 
(7526)8 – (Y)8 = (4364)8
⇒ 1/8 = (7526)8 – (4364)8
Base 8 ⇒ 0 to 7 digits

When you are borrowing you will add the value of the base, hence 2 becomes (2+8) = 10
Y = 3142

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