Recent questions tagged number-system

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What is the maximum n-bit number in base x ,when represented in decimal(10)?
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Design a 3-bit code to represent each of the six digits of the base-6 number system. Make the binary code self-complementing so that the 5's complement is obtained by changing 1's to 0's and Os to 1's in all bits of the coded numbers.
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The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$.For ... $ in the octal number system is$168$108$150$154$
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The positive integers are arranged in rows and columns, as shown, and described below.The odd numbered rows list six positive integers in order from left to right beginning in ... $=\mathrm{D}$row $=837$, column $=\mathrm{E}$
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How many unique four-digit numbers can be created using the digits 1, 3, 4, and 6, with each digit appearing only once, such that the resulting number is divisible by 3?
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In a factory, Erika assembles $3$ calculators in the same amount of time that Nick assembles $2$ calculators. Also, Nick assembles $1$ calculator in the same ... $ calculators?$30$24$27$33$
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A positive integer $n$ is a multiple of $7.$ The square root of $n$ is between $17$ and $18.$ How many possible values of $n$ are there?$2$3$4$5$
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If $n$ is a positive integer, the notation $n!$ (read " $n$ factorial") is used to represent the product of the integers from $1$ to $n$ ... $\dfrac{(20 !)(19 !)}{5}$
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A positive integer is divisible by $3$ exactly when the sum of its digits is divisible by $3.$ A positive integer is divisible by $4$ exactly when the positive integer formed by ... $ and $\text{B}$ that are possible -$5$10$12$14$
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IEEE Standard 754 floating point is the most common representation today for real numbers on computers. The diagram below shows these parts are store--d in memory:The ... ) Code-3 represented $+/-$ Infinity(D) Code-4 represented number Zero
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I think 3rd option is right but they mentionedThe binary representation of -39 is : 10110012's complement of 1011001 will be: 1's complement of 1011001 + 1=> 0100110 + 1 = 0100111 = 39
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Example 39: (36x 70)₁₀ is 10’s complement of (yzyz0)₁₀ Then values of x, y, z are?(A) 4, 5, 2(B) 4, 6, 3(C) 3, 6, 3(D) 3, 5, 4Explain ….Solution: (C)
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What is smallest negative value expressed in 8 bit 2 complement from that when added to itself, the sum causes an overflow?
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In a number system range of numbers are - 3to3 represented as C,B ,A,0,1,2,3 what will be 102 base 10 in the system?
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while representing an exponent in floating point number why do we add a biased term? What is the benifit of adding this??
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Fix a positive integer $n$, and let $n=p_{1}^{e_{1}} p_{2}^{e_{2}} \cdots p_{k}^{e_{k}}$ be the prime factorization of $n$ ... None of the above
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The decimal equivalent value of given 2's complement number 101001.10 is A -20.5B -23.5C -22.5
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How many integers are there in the set {1,2,3,…..,1000} with no digit being repeated?