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GATE 2023 Digital Circuits Quiz 21
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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 _____________.
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
The radix 8’s complement of Y is
Question 7
The number of 1’s present in the binary representation of (6 × 256) + (4 × 16) + 5 is ________?
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Dec 22ESE & GATE EC
