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NDA Binary Numbers PYQs with Solutions

31 previous year questions from Binary Numbers (NDA Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

31 questionsMathematics2010–2023Answers + solutions

About Binary Numbers PYQs

Binary Numbers has 31 previous year questions in the Quantrex Academy NDA Mathematics bank. The 31 questions in this list come from NDA (31), spanning 2010 to 2023. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2023: 1
  • 2022: 2
  • 2020: 1
  • 2019: 1
  • 2018: 2
  • 2017: 2
  • 2016: 2
  • 2015: 3
  • 2014: 3
  • 2013: 3
  • 2012: 4
  • 2011: 3

Binary Numbers questions with solutions

1

What is the binary number equivalent to decimal number 1011?

NDA 2023 Solution
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2

If x^3+y^3=(100010111)_2 and x+y=(11111)_2 , then what is (x-y)^2+x y equal to?

NDA 2022 Solution
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3

What is (1110011)_2 ÷(10111)_2 equal to?

NDA 2022 Solution
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4

The number (1101101+1011011)_2 can be written in decimal system as

NDA 2020 Solution
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5

A binary number is represented by (c d c c d d c c c d d d)_2 , where c > d . What is its decimal equivalent?

NDA 2019 Solution
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6

The binary number expression of the decimal number 31 is

NDA 2018 Solution
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7

The sum of the binary numbers (11011)_ 2, (10110110)_2 and (10011 x 0 y)_2 is the binary number (101101101)_2 . What are the values of x and y ?

NDA 2018 Solution
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8

The remainder and the quotient of the binary division (101110)_2 ÷(110)_2 are respectively

NDA 2017 Solution
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9

In the binary equation (1 p 101)_2+(10 ql)_2=(100 r 00)_2 where p, q and r are binary digits, what are the possible values of p, q and r respectively?

NDA 2017 Solution
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10

What is the binary equivalent of the decimal number 0.3125?

NDA 2016 Solution
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11

If the number 235 in decimal system is converted into binary system, then what is the resulting number?

NDA 2016 Solution
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12

What is (1000000001)_2-(0.0101)_2 equal to ?

NDA 2015 Solution
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13

The decimal number (127.25)_ 10 , when converted to binary nunber, takes the form

NDA 2015 Solution
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14

If (11101011)_2 is converted decimal system, then the resulting number is

NDA 2015 Solution
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15

What is the sum of the two numbers (11110)_2 and (1010)_2 ?

NDA 2014 Solution
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16

What is (1001)_2 equal to?

NDA 2014 Solution
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17

The number 251 in decimal system is expressed in binary system by:

NDA 2014 Solution
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18

The binary representation of the decimal number 45 is

NDA 2013 Solution
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19

The number 83 is written in the binary system as

NDA 2013 Solution
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20

A number in binary system is 110001. It is equal to which one of the following numbers in decimal system?

NDA 2013 Solution
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21

The decimal representation of the number (1011)_2 in binary system is :

NDA 2012 Solution
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22

What is the decimal number representation of the binary number (11101.001)_2 ?

NDA 2012 Solution
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23

The number 292 in decimal system is expressed in binary system by

NDA 2012 Solution
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24

The decimal number (57.375)_ 10 when converted to binary number takes the form :

NDA 2012 Solution
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25

In binary system the decimal number 0.3 can be expressed as

NDA 2011 Solution
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26

In the binary system of numbers let a=00111 and b= 01110 , then in decimal system what is b / a equal to?

NDA 2011 Solution
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27

The number 10101111 in binary system is represented in decimal system by which one of the following numbers?

NDA 2011 Solution
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28

What is (1111)_2+(1001)_2-(1010)_2 equal to?

NDA 2010 Solution
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29

What is the binary number equivalent of the decimal number 32.25?

NDA 2010 Solution
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30

What is the equivalent binary number of the decimal number 13.625?

NDA 2010 Solution
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31

What is the value of (0.101)_2^ (11)_2 +(0.011)_2^ (11)_2 (0.101)_2^ (10)_2 -(0.101)_2^ (01)_2 (0.011)_2^ (01)_2 +(0.011)_2^ (10)_2 ?

NDA 2010 Solution
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Binary Numbers in other exams