GATE Bits 07 08 Number System || Lesson 26.4 || Digital Electronics || Learning Monkey ||
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We will understand GATE Bits 07 08 Number System
07. If 73x (in base-x number system) is equal to 54y (in base-y number system), the possible values of x and y are
a. 8, 16
b. 10, 12
c. 9, 13
d. 8, 11
[ GATE 2004 ]
ANS: D
Explanation: We can solve it by converting both to decimals.
3 + 7*8 = 4 + 11*5
08. The hexadecimal representation of 6578 is
a. 1AF
b. D78
c. D71
d. 32F
[ GATE 2005 ]
ANS: A
Explanation: We can first convert to Binary, we get 110 101 111. Then convert binary to base 16, we get 1AF (0001 1010 1111).
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