Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 7

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Earn 100

What is the binary equivalent of the decimal number $18.5625$ $?$

50% studentsanswered this correctly

Important Questions on Binary Numbers

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 8

In the binary addition, where $x, y, z$ are binary digits

$\frac{\begin{array}{r} x 1 0 1 \\ + 1 0 y 1 \end{array}}{1 1 z 0 0}$

then the possible values of $x, y$ and $z$ respectively are

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 9

If

(10 x 010)_{2} - (11 y 1)_{2} = (10 z 11)_{2}

, then what are the possible values of the binary digits

x, y, z

respectively

?

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 10

If

x = (1101)_{2}

and

y = (110)_{2}

, then what is the value of

x^{2} - y^{2}

?

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 11

What is the value of

\frac{(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}}}

?

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 12

The number

292

in decimal system is expressed in binary system as

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 13

What is the decimal number representation of the binary number

(11101.001)_{2}

?

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 14

The decimal number

(57.375)_{10}

, when converted to binary number takes the form

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Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 7 - Binary Numbers>PRACTICE EXERCISE>Q 15

The decimal representation of the number $(1011)_{2}$ in the binary system is