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# GATE 2023 Digital Circuits Quiz 21

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Question 1

If (199)12 + (199)11 = (N)5, Then the value of ‘N’ is __________.

Question 2

Let the decimal value of a 6-bit 1’s complement number: 100000 be A and let the decimal value of a 6-bit 2’s complement number: 100000 be B. Then value of (A-B) is

Question 3

Let the decimal value of a 6-bit 1’s complement number: 100000 be A and let the decimal value of a 6-bit 2’s complement number: 100000 be B. Then value of (A-B) is

Question 4

For a particular digital system, given arithmetic operation is performed

(23)r + (44)r + (14)r + (32)r = (223)r

then the value of r is

Question 5

If the solutions to the quadratic equation are x = 3 and x = 6, then the base of the equation is ___.

Question 6

The operation given below is the addition of numbers with different bases.

(A)6 + (B)10 + (C)5 + (D)8 = (V)7

If A = 55, C = 34, D = 67 and V = 236 then the value of B is_____.

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