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Binary Numbers — NDA Mathematics PYQs

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

31 questionsMathematicsSolutions on every page
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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