Mathematics: Solve for y in the equation; y/y+101 = 11/10010 all in base 2

− = 4 4 + = 1Step-by-step explanation:...

Solve for y in the equation; y/y+101 = 11/10010 - id10111100104386304, murphyscott794

Ответ:

shannaslaughter28

14.01.2022

Mathematics

y = 1

Step-by-step explanation:

We convert the numbers from the binary system to a decimal system:

$101_2=1\cdot2^2+0\cdot2^1+1\cdot2^0=4+0+1=5_{10}\\\\11_2=1\cdot2^1+1\cdot2^0=2+1=3_{10}\\\\10010_2=1\cdot2^4+0\cdot2^3+0\cdot2^2+1\cdot2^1+0\cdot2^0=16+0+0+2+0=18_{10}$

Therefore we have

$\dfrac{y_2}{y_2+101_2}=\dfrac{11_2}{10010_2}\Rightarrow\dfrac{y}{y+5}=\dfrac{3}{18}\qquad\text{cross multiply}\\\\18y=3(y+5)\qquad\text{use the distributive property}\\\\18y=3y+15\qquad\text{subreact}\ 3y\ \text{from both sides}\\\\15y=15\qquad\text{divide both sides by 15}\\\\y=1_{10}\Rightarrow y_2=1\cdot2^0=1_2$

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Ответ:

kstyleszdance

31.10.2022

Mathematics

−

Step-by-step explanation:

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Solve for y in the equation; y/y+101 = 11/10010 all in base 2

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