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GATE EC 2022: Digital Circuits Quiz 1

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Question 1

X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits is:

Question 2

The 9’s compliment for the decimal number 7543 is

Question 3

Let r denote number system radix. The only value(s) of r that satisfy the equation √121 = 11 is/are

Question 4

The binary representation of 77/16 is

Question 5

In a particular number system the cubic equation:
x3 + bx2 + cx - 190 = 0 has the roots x = 5, x = 8, and x = 9. The base of the number system is _____________.

Question 6

Given that:
The radix 8’s complement of Y is
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Sep 12ESE & GATE EC