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katovenus [111]
3 years ago
9

Convert the following: 110110two to base ten 25ten to base two​

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

  • 110110 in base 2 when converted in base 10 will be equal to 54
  • 25 in base 10 is equal to 1001 base 2

Step-by-step explanation:

Part 1: 110110two to base ten

For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2

So

=1*2^5 + 1 * 2^4 + 0 * 2^3 + 1 *2^2 + 1* 2^1 + 0*2^0\\ =1*32+ 1* 16 + 0 + 1*4 + 1*2 +0\\ =32 + 16 +4 + 2\\ = 54

So 110110two when converted in base 10 will be equal to 54

Part 2: 25ten to base two

For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:

25/2 = 12     remainder 1

12/2 = 6       remainder 0

6/2 = 3        remainder 0

3/2 = 1         remainder 1

Now the remainders will be written in inverse order as:

=1001 base 2

So 25 in base 10 is equal to 1001 base 2

I hope it will help you!

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Answer:

The first pair shows equivalent expressions.

Step-by-step explanation:

3(x+2), you would have to distribute 3 among x and 2, also known as expanding the expression. So you'd do 3*x + 3*2, which equals 3x+6

The first equation is 3(x+2)=3x+6

Therefore, the first pair shows equivalent expressions.

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Hello from MrBillDoesMath!

Answer:

The second choice

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The first choice is not a polynomial because it contains sqrt(x)

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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify R - S + T
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Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins
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Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.

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160x + 120y ≤ 680

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Isolating x from the first equation:

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To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

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