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3 years ago

What is the equivalent of binary number 100 in base 10?

Mathematics

2 answers:

san4es73 [151]3 years ago

7 0

$100_2=4_{10}$

andreyandreev [35.5K]3 years ago

3 0

1 00 binary = 0 * 2^0 + 0 * 2^1 + 1*2^2 in base 10

= 0 + 0 + 4

= 4 answer

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3 years ago

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Step-by-step explanation:

we have

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$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

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Inequality B

$-1\geq -\frac{5}{2}(0)+5$

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case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

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Inequality B

$3\geq -\frac{5}{2}(0)+5$

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therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

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therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

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Inequality B

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therefore

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3 years ago