GATE 2023 Digital logic Rank Booster Quiz 35

Attempt now to get your rank among 71 students!

Question 1

(1217)₈ is equivalent to

• A(1217)₁₆
• B(028F)₁₆
• C(2297)₁₀
• D(OB 17)₁₆

Question 2

Given that
The radix 8’s compliment of Y is

• A844
• B1514
• C6264
• D3251

Question 3

The decimal number -39 is expressed in 2’s complement form as?

• A11010001
• B11011000
• C00100111
• D11011001

Question 4

If (32)₅ = (X4)_y , then the possible value of X and Y respectively:

(X and Y are positive numbers)

• A12, 3
• B13,1
• C1,13
• D3,12

Question 5

Given . What is the value of base x?

• A6
• B8
• C10
• D12

Question 6

In 2’s complement addition, overflow

• Ais flagged whenever there is carry from sign bit addition
• Bcannot occur when a positive value is added to a negative value
• Cis flagged when the carries from sign bit and previous bit match
• DNone of the above

Question 7

Consider the following signed numbers(negative numbers are represented in 2’s complement form)
X=11110101
Y=00001000
Z=11111110
What is the result of XY/Z?

• A11010100
• B00101100
• C00011100
• D11011000

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