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Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Test  >  GATE Computer Science Engineering(CSE) 2027 Mock Test Series  >  Test: Floating Point Number- 1 - Computer Science Engineering (CSE) MCQ

GATE Computer Science Engineering(CSE) 2027 Test: Floating Point Number


MCQ Practice Test & Solutions: Test: Floating Point Number- 1 (10 Questions)

You can prepare effectively for Computer Science Engineering (CSE) GATE Computer Science Engineering(CSE) 2027 Mock Test Series with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Floating Point Number- 1". These 10 questions have been designed by the experts with the latest curriculum of Computer Science Engineering (CSE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Floating Point Number- 1 - Question 1
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Booth's algorithm is used in floating-point

Detailed Solution: Question 1

Booth’s algorithm is used for floating point multiplication.

Test: Floating Point Number- 1 - Question 2
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Booth’s coding in 8-bits for the decimal number - 57 is ________ .

Detailed Solution: Question 2

0 - 100 + 100 - 1 evaluates to 57 in Booth’s coding as below:

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Test: Floating Point Number- 1 - Question 3
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 Booth’s algorithm for integer multiplication gives worst performance when the multiplier pattern is

Detailed Solution: Question 3

Booth recording of a multiplier are

Therefore, option (a) gives worst performance because it contains maximum number of 1 's.

Test: Floating Point Number- 1 - Question 4
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 Consider the following floating point number representation.

The exponent is in 2’s complement representation and mantissa is in the sign-magnitude representation. The range of the magnitude of the normalized numbers in this representation is

Detailed Solution: Question 4


The range of the magnitude of the normalized numbers is as follows: 0.5 to (1 - 2-23).

Test: Floating Point Number- 1 - Question 5
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Considerthe values A = 2.0 x 1030, B = -2.0x1030, C = 1.0 and the sequence. What will be the values of X and Y if the following sequence of statements are carried out 

Detailed Solution: Question 5



Therefore, after the sequence value of X and Y are 1.0 and 0.0 respectively.

Test: Floating Point Number- 1 - Question 6
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The decimal value 0.25

Detailed Solution: Question 6

0.25 x 2 = 0.50;
0.50 x 2 = 1.00
Therefore, the decimal value 0.25 is equivalent to binary 0.01.

Test: Floating Point Number- 1 - Question 7
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The 2’s complement representation of the decimal value - 15 is

Detailed Solution: Question 7

The 2’s complement of negative numbers are represented as the binary number that when added to a positive number of the same magnitude equals zero 
+15 = 0 1 1 1 1
The 2’s complement representation of the decimal value -15 is
-15 in 2’s complement = 10001

Test: Floating Point Number- 1 - Question 8
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Sign extension is the step in

Detailed Solution: Question 8

Sign extension is the operation, in computer arithmetic, of increasing the number of bits of a binary number while preserving the number’s sign (positive/negative) and value.

Test: Floating Point Number- 1 - Question 9
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Assuming all numbers are in 2’s complement representation, which of the following numbers is divisible by 11111011?

Detailed Solution: Question 9


So -25 is divisible by -5 so we can say 11100111 is divisible by 11111011.

Test: Floating Point Number- 1 - Question 10
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The following is a scheme for floating point number representation using 16 bits.

Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is

What is the maximum difference between two successive real numbers representable in this system?

Detailed Solution: Question 10


Then the floating point number represented


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About this Computer Science Engineering (CSE) Practice Test

This test contains 10 MCQs on Floating Point Number- 1 with detailed solutions for each question. It is part of the GATE Computer Science Engineering(CSE) 2027 Mock Test Series course on EduRev, designed to align with the current Computer Science Engineering (CSE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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