- Numeracy 1 0 – Octdechex Converter Mp4
- Dec To Hex Converter
- Numeracy 1 0 – Octdechex Converter Download
- Bin Oct Hex Dec Converter
- Numeracy 1 0 – Octdechex Converter Unicode
Learning Objectives
Now, let's apply these steps to, for example, the decimal number (501) 10 Step 1: As 501 is greater than 7, divide by 8. 501 ÷ 8 = 62.625 Step 2: To calculate the remainder, you need to multiply the part after the decimal point by 8. 0.625. 8 = 5 So the first remainder (and the least significant digit in the octal) is 5. Convert numbers between decimal, hexadecimal, octal and binary. Also handles fractional numbers. Simplifies to x^5 - x^4 + x^2 - 2x + 1. But x^n = x for x = 0 or 1, so it further simplifies to x - x + x -2x + 1 which is just 1 - x. (In case anyone was unsure if they could actually use the second polynomial.) – pkr298 Aug 11 '15 at 21:15. Please enter the dimensions you wish to convert. Inside Circumference. Inside Circumference.
- Use conversion factors to express the value of a given quantity in different units.
It is often necessary to convert from one unit to another. For example, if you are reading a European cookbook, some quantities may be expressed in units of liters and you need to convert them to cups. Or perhaps you are reading walking directions from one location to another and you are interested in how many miles you will be walking. In this case, you may need to convert units of feet or meters to miles.
Numeracy 1 0 – Octdechex Converter Mp4
Let's consider a simple example of how to convert units. Suppose we want to convert 80 m to kilometers. The first thing to do is to list the units you have and the units to which you want to convert. In this case, we have units in meters and we want to convert to kilometers. Next, we need to determine a conversion factor relating meters to kilometers. A conversion factor is a ratio that expresses how many of one unit are equal to another unit. For example, there are 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on. Refer to Appendix B for a more complete list of conversion factors. In this case, we know that there are 1000 m in 1 km. Now we can set up our unit conversion. We write the units we have and then multiply them by the conversion factor so the units cancel out, as shown:
[80; cancel{ m} times frac{1; km}{1000; cancel{ m}} = 0.080; km ldotp]
Note that the unwanted meter unit cancels, leaving only the desired kilometer unit. You can use this method to convert between any type of unit. Now, the conversion of 80 m to kilometers is simply the use of a metric prefix, as we saw in the preceding section, so we can get the same answer just as easily by noting that
[80; m = 8.0 times 10^{1};m = 8.0 times 10^{−2}; km = 0.080; km,]
since 'kilo-' means 103 and 1 = −2 + 3. However, using conversion factors is handy when converting between units that are not metric or when converting between derived units, as the following examples illustrate.
Example (PageIndex{1}): Converting Nonmetric Units to Metric
The distance from the university to home is 10 mi and it usually takes 20 min to drive this distance. Calculate the average speed in meters per second (m/s). (Note: Average speed is distance traveled divided by time of travel.)
Strategy
First we calculate the average speed using the given units, then we can get the average speed into the desired units by picking the correct conversion factors and multiplying by them. The correct conversion factors are those that cancel the unwanted units and leave the desired units in their place. In this case, we want to convert miles to meters, so we need to know the fact that there are 1609 m in 1 mi. We also want to convert minutes to seconds, so we use the conversion of 60 s in 1 min.
Solution
- Calculate average speed. Average speed is distance traveled divided by time of travel. (Take this definition as a given for now. Average speed and other motion concepts are covered in later chapters.) In equation form, $$Average; speed = frac{Distance}{Time} ldotp nonumber $$
- Substitute the given values for distance and time: $$Average; speed = frac{10; mi}{20; min} = 0.50; frac{mi}{min} ldotp nonumber $$
- Convert miles per minute to meters per second by multiplying by the conversion factor that cancels miles and leave meters, and also by the conversion factor that cancels minutes and leave seconds: $$0.50; frac{cancel{mile}}{cancel{min}} times frac{1609; m}{1; cancel{mile}} times frac{cancel{1; min}}{60; s} = frac{(0.50)(1609)}{60}; m/s = 13; m/s ldotp nonumber$$
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Significance
Check the answer in the following ways:
- Be sure the units in the unit conversion cancel correctly. If the unit conversion factor was written upside down, the units do not cancel correctly in the equation. We see the 'miles' in the numerator in 0.50 mi/min cancels the 'mile' in the denominator in the first conversion factor. Also, the 'min' in the denominator in 0.50 mi/min cancels the 'min' in the numerator in the second conversion factor.
- Check that the units of the final answer are the desired units. The problem asked us to solve for average speed in units of meters per second and, after the cancelations, the only units left are a meter (m) in the numerator and a second (s) in the denominator, so we have indeed obtained these units.
Exercise (PageIndex{1})
Light travels about 9 Pm in a year. Given that a year is about 3 x 107 s, what is the speed of light in meters per second?
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Example (PageIndex{2}): Converting between Metric Units
The density of iron is 7.86 g/cm3 under standard conditions. Convert this to kg/m3.
Strategy
We need to convert grams to kilograms and cubic centimeters to cubic meters. The conversion factors we need are 1 kg = 103 g and 1 cm = 10−2m. However, we are dealing with cubic centimeters (cm3 = cm x cm x cm), so we have to use the second conversion factor three times (that is, we need to cube it). The idea is still to multiply by the conversion factors in such a way that they cancel the units we want to get rid of and introduce the units we want to keep.
Solution
[7.86; frac{cancel{g}}{cancel{cm^{3}}} times frac{kg}{10^{3}; cancel{g}} times left(dfrac{cancel{cm}}{10^{-2}; m}right)^{3} = frac{7.86}{(10^{3})(10^{-6})}; kg/m^{3} = 7.86 times 10^{3}; kg/m^{3} nonumber]
Significance
Remember, it's always important to check the answer.
- Be sure to cancel the units in the unit conversion correctly. We see that the gram ('g') in the numerator in 7.86 g/cm3 cancels the 'g' in the denominator in the first conversion factor. Also, the three factors of 'cm' in the denominator in 7.86 g/cm3 cancel with the three factors of 'cm' in the numerator that we get by cubing the second conversion factor.
- Check that the units of the final answer are the desired units. The problem asked for us to convert to kilograms per cubic meter. After the cancelations just described, we see the only units we have left are 'kg' in the numerator and three factors of 'm' in the denominator (that is, one factor of 'm' cubed, or 'm3'). Therefore, the units on the final answer are correct.
Numeracy 1 0 – Octdechex Converter Download
Exercise (PageIndex{2})
We know from Figure 1.4 that the diameter of Earth is on the order of 107 m, so the order of magnitude of its surface area is 1014 m2. What is that in square kilometers (that is, km2)? (Try doing this both by converting 107 m to km and then squaring it and then by converting 1014 m2 directly to square kilometers. You should get the same answer both ways.)
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Unit conversions may not seem very interesting, but not doing them can be costly. One famous example of this situation was seen with the Mars Climate Orbiter. This probe was launched by NASA on December 11, 1998. On September 23, 1999, while attempting to guide the probe into its planned orbit around Mars, NASA lost contact with it. Subsequent investigations showed a piece of software called SM_FORCES (or 'small forces') was recording thruster performance data in the English units of pound-seconds (lb • s). However, other pieces of software that used these values for course corrections expected them to be recorded in the SI units of newton-seconds (N • s), as dictated in the software interface protocols. This error caused the probe to follow a very different trajectory from what NASA thought it was following, which most likely caused the probe either to burn up in the Martian atmosphere or to shoot out into space. This failure to pay attention to unit conversions cost hundreds of millions of dollars, not to mention all the time invested by the scientists and engineers who worked on the project.
Exercise (PageIndex{3})
Given that 1 lb (pound) is 4.45 N, were the numbers being output by SM_FORCES too big or too small?
Contributors and Attributions
-
Samuel J. Ling (Truman State University), Jeff Sanny (Loyola Marymount University), and Bill Moebs with many contributing authors. This work is licensed by OpenStax University Physics under a Creative Commons Attribution License (by 4.0).
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Binary is the simplest kind of number system that uses only two digits of 0 and 1 (i.e. value of base 2). Since digital electronics have only these two states (either 0 or 1), so binary number is most preferred in modern computer engineer, networking and communication specialists, and other professionals.
Whereas Octal number is one of the number systems which has value is 10 and it has only 8 symbols: 0, 1, 2, 3, 4, 5, 6, and 7.
Conversion from Binary to Octal number system
Octal number system provides convenient way of converting large binary numbers into more compact and smaller groups. There are various ways to convert a binary number into octal number. You can convert using direct methods or indirect methods. First, you need to convert a binary into other base system (e.g., into decimal, or into hexadecimal). Then you need to convert it octal number.
Most Significant Bit (MSB) | Octal Point | Least Significant Bit (LSB) | |||
---|---|---|---|---|---|
82 | 81 | 80 | 8-1 | 8-2 | 8-3 |
64 | 8 | 1 | 1/8 | 1/64 | 1/512 |
Since number numbers are type of positional number system. That means weight of the positions from right to left are as 80, 81, 82, 83and so onfor the integer part and weight of the positions from left to right are as 8-1, 8-2, 8-3and so on.for the fractional part.
Example − Convert binary number 10010110 into octal number.
However, there is also a direct method to convert a binary number into octal number − grouping which is explained as following below.
Using Grouping
Bin Oct Hex Dec Converter
Since, there are only 8 digits (from 0 to 7) in octal number system, so we can represent any digit of octal number system using only 3 bit as following below.
Octal Digit Value | Binary Equivalent |
---|---|
0 | 000 |
1 | 001 |
2 | 010 |
3 | 011 |
4 | 100 |
5 | 101 |
6 | 110 |
7 | 111 |
So, if you make each group of 3 bit of binary input number, then replace each group of binary number from its equivalent octal digits. That will be octal number of given number number. Note that you can add any number of 0's in leftmost bit (or in most significant bit) for integer part and add any number of 0's in rightmost bit (or in least significant bit) for fraction part for completing the group of 3 bit, this does not change value of input binary number.
So, these are following steps to convert a binary number into octal number.
Take binary number
Divide the binary digits into groups of three (starting from right) for integer part and start from left for fraction part.
Convert each group of three binary digits to one octal digit.
This is simple algorithm where you have to grouped binary number and replace their equivalent octal digit.
Example-1 − Convert binary number 1010111100 into octal number. Since there is no binary point here and no fractional part. So,
Therefore, Binary to octal is.
Numeracy 1 0 – Octdechex Converter Unicode
Example-2 Convert binary number 0110 011.1011 into octal number. Since there is binary point here and fractional part. So,
Therefore, Binary to octal is.
These are above simple conversions binary number to octal number.