GATE CSE concept:floating-point PYQs & Answers

Questions 1–7 of 7. Imported answers require independent review unless marked reviewed.

Three floating point numbers

, and

are stored in three registers

, and

, respectively in IEEE 754 single precision format as given below in hexadecimal:

, and

Which of the following option(s) is/are CORRECT?

Your answerSelect all correct options. You can choose more than one.

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The format of a single-precision floating-point number as per the IEEE 754 standard is:

Sign (1bit) | Exponent (8 bits) | Mantissa (23 bits)

Choose the largest floating-point number among the following options.

Your answerChoose one option.

Sign: 0; Exponent: 011 1111; Mantissa: 1111 1111 1111 1111 1111 111

Sign: 0; Exponent: 111 1110; Mantissa: 1111 1111 1111 1111 1111 111

Sign: 0; Exponent: 111 1111; Mantissa: 1111 1111 1111 1111 1111 111

Sign: 0; Exponent: 011 1111; Mantissa: 0000 0000 0000 0000 0000 000

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Consider three floating point numbers A, B and C stored in registers R_A, R_B and R_C, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

R_A = 0xC140000 R_B = 0x4210000 R_C = 0x4140000

Which one of the following is FALSE?

Your answerChoose one option.

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The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:

Diagram for Computer Science and Information Technology question 4

Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?

Your answerChoose one option.

exponent = 0000000 and mantissa = 00000000000000000000000

exponent = 0000000 and mantissa = 00000000000000000000001

exponent = 0000001 and mantissa = 00000000000000000000000

exponent = 0000001 and mantissa = 00000000000000000000001

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Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.

Here

and

denote the sign, exponent and fraction components of the floating point representation.

The decimal value corresponding to the above representation (rounded to 2 decimal places) is ________.

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Consider three registers R1, R2, and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC120000, respectively.

, what is the value stored in R3?

Your answerChoose one option.

0x40800000

0xC0800000

0x83400000

0xC8500000

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Given the following binary number in 32-bit (single precision) IEEE-754 format:

The decimal value closest to this floating-point number is

Your answerChoose one option.

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GATE CSE concept:floating-point PYQs

How to practice concept:floating-point

Question 49

Question 14

Question 41

Question 4

Question 24

Question 29

Question 12