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Recent questions tagged number-system

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GATE ECE 2026 | Question: 35
What is the $10^{\prime} s$ complement of $(47)_{10}?$$52$$53$$54$$55$
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1 1 answer
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GATE ECE 2024 | Question: 19
In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.
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GATE ECE 2000 | Question 16
A one-bit full adder is to be implemented using $8$-to-$1$ multiplexers $\text{(MUX)}$.Write the truth table for sum $\text{(S)}$ and carry to the next stage $\left(\math...
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314
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GATE ECE 1993 | Question 6.12
$2$'s complement representation of a $16$ – bit number (one sign bit and $15$ magnitude bits) is $\text{FFFI}$. Its magnitude in decimal representation is$0$$1$$32,767$$6...
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2 2 answers
679
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GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
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GATE ECE 2011 | Question: 63
Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl....
4 4 votes
1 1 answer
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GATE ECE 2021 | Question: 11
​​​​​​​If $(1235)_{x}\:=\:(3033)_{y}$, where $x$ and $y$ indicate the bases of the corresponding numbers, then$x\:=\:7$ and $y\:=\:5$$x\:=\:8$ and $y\:=\:6$$x\:=\:6$ and ...
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6 6 votes
2 answers 2 answers
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GATE ECE 2014 Set 2 | GA | Question: 8
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest eve...
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GATE ECE 2014 Set 2 | Question: 15
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
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2 2 answers
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GATE ECE 2012 | Question: 56
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$$2.23$$4.33$$11.37$$27.64$
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5 answers 5 answers
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GATE ECE 2018 | GA | Question: 3
If the number $715\blacksquare423$ is divisible by $3(\blacksquare$ denotes the missing digit in the thousandths place$),$ then the smallest whole number in the place of...
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