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Number Representation
Question 1
The decimal value 0.5 in IEEE single precision floating point representation has
- A
fraction bits of 000…000 and exponent value of 0
- B
fraction bits of 000…000 and exponent value of −1
- C
fraction bits of 100…000 and exponent value of 0
- D
no exact representation
Question 2
The smallest integer that can be represented by an 8-bit number in 2’s complement form is
- A
-256
- B
-128
- C
-127
- D
0
Question 3
What is the maximum decimal value that can be represented using an 8-bit unsigned binary number?
(GATE 2015 | MCQ | 1-mark)
- A
127
- B
128
- C
255
- D
256
Question 4
(1217)8 is equivalent to
- A
(1217)16
- B
(028F)16
- C
(2297)10
- D
(0B17)16
Question 5
- A
(214.2)10 and (D6.8))16
- B
(212.5)10 and (D6.8))16
- C
(214.5)10 and (D6.8))16
- D
(214.5)10 and (D6.4))16
Question 6
Consider the following state diagram and its realization by a JK flip flop
The combinational circuit generates J and K in terms of x, y and Q.
The Boolean expressions for J and K are :
- A
(x⊕y)'and (x⊕y)'
- B
(x⊕y)'and x⊕y
- C
x⊕y and (x⊕y)'
- D
x⊕yand x⊕y
Question 7
The number of 1's in the binary representation of (3*4096 + 15*256 + 5*16 + 3) are: ISRO 2015
- A
8
- B
9
- C
10
- D
12
Question 8
The range of integers that can be represented by an n bit 2’s complement number system is: ISRO 2015
- A
- 2n - 1 to 2n - 1 - 1
- B
- (2n - 1 - 1) to (2n - 1 - 1)
- C
- 2n - 1 to 2n - 1
- D
- (2n - 1 + 1) to (2n - 1 - 1)
Question 9
What occurs when an arithmetic operation on an unsigned binary number exceeds its maximum representable limit?
- A
The system generates an automatic negative sign bit
- B
The value converts into a floating-point IEEE 754 standard
- C
The system halts operation permanently
- D
An overflow occurs and the value wraps around
Question 10
Which of the following binary number is the same as its 2's complement?
- A
1010
- B
0101
- C
1000
- D
1001
There are 87 questions to complete.
