Question and Answers Forum

x and y are two binary numbers which are in 4 − bit 2′s complement formate, where x = 00102 and y = 11012 : clearly, y is a negative number. what is the result of x + y in decimal formate.

$$\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{are}\:\mathrm{two}\:\mathrm{binary}\:\mathrm{numbers}\:\mathrm{which}\:\mathrm{are}\: \\ $$$$\mathrm{in}\:\mathrm{4}\:−\:\mathrm{bit}\:\mathrm{2}'\mathrm{s}\:\mathrm{complement}\:\mathrm{formate},\: \\ $$$$\mathrm{where}\:\mathrm{x}\:=\:\mathrm{00102}\:\mathrm{and}\:\mathrm{y}\:=\:\mathrm{11012}\::\:\mathrm{clearly}, \\ $$$$\mathrm{y}\:\mathrm{is}\:\mathrm{a}\:\mathrm{negative}\:\mathrm{number}.\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{result} \\ $$$$\mathrm{of}\:\mathrm{x}\:+\:\mathrm{y}\:\mathrm{in}\:\mathrm{decimal}\:\mathrm{formate}. \\ $$

Question Number 9404 Answers: 1 Comments: 0

Question Number 9403 Answers: 2 Comments: 0

Question Number 9400 Answers: 1 Comments: 0

expand : y = e^x , about the point x = 1 using taylor′s series.

$$\mathrm{expand}\::\:\:\mathrm{y}\:=\:\mathrm{e}^{\mathrm{x}} \:,\:\mathrm{about}\:\mathrm{the}\:\mathrm{point}\:\mathrm{x}\:=\:\mathrm{1} \\ $$$$\mathrm{using}\:\mathrm{taylor}'\mathrm{s}\:\mathrm{series}. \\ $$

Question Number 9399 Answers: 0 Comments: 0

Find the root of bx^3 − (3b − 2)x^2 − 2(5b − 3)x + 20 = 0

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{root}\:\mathrm{of} \\ $$$$\mathrm{bx}^{\mathrm{3}} \:−\:\left(\mathrm{3b}\:−\:\mathrm{2}\right)\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{2}\left(\mathrm{5b}\:−\:\mathrm{3}\right)\mathrm{x}\:+\:\mathrm{20}\:=\:\mathrm{0} \\ $$

Question Number 9419 Answers: 0 Comments: 0

Develop an algorithm and draw a flowchat to find the sum of numbers from 1 − 100

$$\mathrm{Develop}\:\mathrm{an}\:\mathrm{algorithm}\:\mathrm{and}\:\mathrm{draw}\:\mathrm{a}\:\mathrm{flowchat} \\ $$$$\mathrm{to}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{numbers}\:\mathrm{from}\:\mathrm{1}\:−\:\mathrm{100} \\ $$

Question Number 9396 Answers: 1 Comments: 1

(d^2 y/dx^2 )+4y=tan 2x

$$\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }+\mathrm{4y}=\mathrm{tan}\:\mathrm{2x} \\ $$

Question Number 9407 Answers: 0 Comments: 0

π = 180° = Π π = 3,141... = π Solve (find n ∈ N): Σ_(k=1) ^∞ ((sin(2Πk∙10^n π))/k) + Σ_(k=1) ^∞ ((sin(2Πk∙10^n e))/k) = 0

$$\pi\:=\:\mathrm{180}°\:=\:\Pi \\ $$$$\pi\:=\:\mathrm{3},\mathrm{141}...\:=\:\pi \\ $$$$\mathrm{Solve}\:\left(\mathrm{find}\:{n}\:\in\:\mathbb{N}\right): \\ $$$$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{sin}\left(\mathrm{2}\Pi{k}\centerdot\mathrm{10}^{{n}} \pi\right)}{{k}}\:+\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{sin}\left(\mathrm{2}\Pi{k}\centerdot\mathrm{10}^{{n}} {e}\right)}{{k}}\:=\:\mathrm{0} \\ $$$$ \\ $$

Question Number 9392 Answers: 1 Comments: 0

x^x = 16 find the value of x. please show workings.

$$\mathrm{x}^{\mathrm{x}} \:=\:\mathrm{16} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}. \\ $$$$\mathrm{please}\:\mathrm{show}\:\mathrm{workings}. \\ $$

Question Number 9391 Answers: 0 Comments: 0

Σ_(n=2) ^(100) (1 − (1/n^(2 ) ))

$$\underset{{n}=\mathrm{2}} {\overset{\mathrm{100}} {\sum}}\:\left(\mathrm{1}\:−\:\frac{\mathrm{1}}{{n}^{\mathrm{2}\:} }\right) \\ $$

Question Number 9382 Answers: 1 Comments: 1

Question Number 9381 Answers: 0 Comments: 0

∫_0 ^(π/2) ln (((4 + 3sinx)/(4 + 3cosx))) dx

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\mathrm{ln}\:\left(\frac{\mathrm{4}\:+\:\mathrm{3sinx}}{\mathrm{4}\:+\:\mathrm{3cosx}}\right)\:\mathrm{dx} \\ $$

Question Number 9380 Answers: 0 Comments: 0

S=Σ_(n=1) ^∞ n^(−n) S=??

$${S}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{n}^{−{n}} \\ $$$${S}=?? \\ $$

Question Number 9379 Answers: 0 Comments: 0

S=Σ_(n=1) ^∞ (−n)^(1−n) S=??

$${S}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−{n}\right)^{\mathrm{1}−{n}} \\ $$$${S}=?? \\ $$

Question Number 9378 Answers: 1 Comments: 0

Solve: x^3 − 18x − 32 = 0

$$\mathrm{Solve}: \\ $$$$\mathrm{x}^{\mathrm{3}} \:−\:\mathrm{18x}\:−\:\mathrm{32}\:=\:\mathrm{0} \\ $$

Question Number 9367 Answers: 1 Comments: 0

Solve simultaneously. 3x^2 + 4xy + 3y^2 = 3 ......... (i) x^2 + y^2 + 3x + 3y = 4 ....... (ii)

$$\mathrm{Solve}\:\mathrm{simultaneously}. \\ $$$$\mathrm{3x}^{\mathrm{2}} \:+\:\mathrm{4xy}\:+\:\mathrm{3y}^{\mathrm{2}} \:=\:\mathrm{3}\:\:\:.........\:\left(\mathrm{i}\right) \\ $$$$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:+\:\mathrm{3x}\:+\:\mathrm{3y}\:=\:\mathrm{4}\:\:\:\:.......\:\left(\mathrm{ii}\right) \\ $$

Question Number 9372 Answers: 0 Comments: 1

I was able to discover the conditions for the sum of two irrational numbers be an integer and the conditions for the sum be a finite decimal. But I can not do the same for periodic tithe. Someone can help me, please?

$$\mathrm{I}\:\mathrm{was}\:\mathrm{able}\:\mathrm{to}\:\mathrm{discover}\:\mathrm{the}\:\mathrm{conditions}\:\mathrm{for} \\ $$$$\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{two}\:\mathrm{irrational}\:\mathrm{numbers}\:\mathrm{be}\:\mathrm{an} \\ $$$$\mathrm{integer}\:\mathrm{and}\:\mathrm{the}\:\mathrm{conditions}\:\mathrm{for}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{be}\:\mathrm{a}\:\mathrm{finite}\:\mathrm{decimal}. \\ $$$$\mathrm{But}\:\mathrm{I}\:\mathrm{can}\:\mathrm{not}\:\mathrm{do}\:\mathrm{the}\:\mathrm{same}\:\mathrm{for}\:\mathrm{periodic} \\ $$$$\mathrm{tithe}. \\ $$$$\mathrm{Someone}\:\mathrm{can}\:\mathrm{help}\:\mathrm{me},\:\mathrm{please}? \\ $$$$ \\ $$

Question Number 9370 Answers: 2 Comments: 0

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