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What is 24 divided by 768?
0.0312
What does 03125 equal in percentages?
0.03125 in percentage = 3.125%
What is 1 over 32 as a percent?
1/32 = .03125 = 3.125%
Need to reduce 03125 to the lowest common fraction reduce it lower?
0.3125 = 5/16
Is a oz smaller than qt?
Yes, an ounce is smaller than a quart. 1 ounce equals .03125 quarts.
What is 20 and 1 over 4 minus 5 over 8 equal?
From the question, it is assumed that it looks like this 20+1/4-5/8. Using order of operations, you would get 20.875. If you added some parenthesis like this ((20+1)/4-5)/8, you would get 1/32 or .03125.
How many gallons of water in a three quarter inch copper pipe 150 ft long?
That's a cylinder. The volume of a cylinder is (pi) (radius)2 (length)Radius = 1/2 diameter = 3/8 inch = 0.03125 footLength = 150-ftVolume = (pi) (.03125)2 (150) = 0.4602 cubic foot = 3.442 gallons (rounded)That's the volume of the piece of pipe. We have no way of knowinghow much water may be in it. It could even be empty.
How many pine needles does a Christmas tree have?
55,927,176 My daughter had this as a science question. We went about it the following way: Determine the volume of the tree (cone shape): 1/2 (Pi)(r-squared)(height) Determine the volume of 1 pine needle (prism shaped?): 1/2 (alt)(base)(length) Divide the volume of the needle into the volume of the tree Make assumption as to how much of the tree's volume is wood and air and subtract it... Tree: 1/2(3.14)(24*24)(96) - 2 feet radius and 8 ft tree converted to inches Tree Vol: 57,876 inches (rounded) Pine Needle Vol: 1/2 inch long, 1/32 in wide, 1/64 in height Pine Needle Vol: (.5*.03125*.0156*)*.5 = .000122 inches How many needles would fill the vol of the tree? 57876/.000122 WOW!!!: 474,174,124 needles BUT... There is a lot of air and wood that make up the volume of the tree. How much? I assume 7/8 is air and wood and 1/8 of the volume is needles: 474,174,124*.125= 55,927,176
What is the fraction form of 0.03125?
For decimal numbers or fractions representing less than one whole piece or "1", the following are true: Decimals that represent numbers less than one are related to the size of a part of a whole, or "1". Any fraction with a larger denominator than it's numerator falls into this category of "less than one". Within this category, the fraction represents the number of fractional pieces, parts or portions of the "original" whole, or "1". Therefore, fractionally 0.03125 represents 0.03125 sized fractional pieces relative to one whole, because decimals are fractions too!!! Hmmmm.... Relative to "1", the pieces are 0.0315 in size when notated in decimal fraction notation. But how many fractional .03125 pieces would it take to make one whole piece? Well, if the whole were divided by this sized piece, that would yield how many pieces? 1 ...................... / ............0.03125 .................... = ............ x 1/0.03125 = x 1/0.03125 = 32 32 pieces! 32 pieces relative to 1 whole, or fractionally 32 divisions of 1 1/32 *in decimal notation, 0.03125 is the same as 1/32nd. Think of fractions as a representation of the number of PIECES or DIVISIONS of one whole or constant. Decimals are more often used to express a measurement of SIZE in multiples of one and/or tenths of one whole measurement unit or base constant Decimal notation is also used to express percentages and remaining tenths and multiples or tenth portions of one percent in percentage calculations.
What is a 400 digit number that is the product of two prime numbers?
58021 66458 56397 91181 18402 59504 40248 39822 61360 69516 93823 24936 87505 82247 18365 36824 29882 27337 10342 25069 77399 96825 93823 26419 40670 85762 45141 03125 98613 40509 97697 16012 73015 47995 78846 81378 87651 82370 71020 07839 times 29072 55345 64091 83479 26875 20038 25253 45567 28392 22789 44522 32349 15115 68292 19216 21182 71416 46840 48719 89105 91497 63352 93988 86290 01652 76828 69989 32224 00098 08611 27751 09788 63644 32307 00528 37841 55195 19720 28273 50411 equals 16868 37945 29585 64256 63766 59763 64831 65488 60971 45268 58465 96438 85969 62587 11029 66425 11787 34747 53779 72467 29888 61033 41307 52150 79272 31452 77942 14128 74638 45106 92144 32297 02145 88015 43523 22909 48153 07916 39158 52778 93540 74977 42456 20490 07276 68372 11482 51007 45091 87403 21159 41643 49339 66830 41701 98583 76503 34981 53597 42350 25550 60180 60913 12554 24114 94089 92866 69130 79111 84828 96160 30005 09929 28732 26797 09786 72725 25628 25218 71829
How does Excess 64 and IEEE 754 floating point binary work?
First off, most computers use IEE 754, not excess 64 format. IBM System/360 computers use Base-16 Excess 64 format. If you're running a standard desktop computer chances are your computer uses IEEE 754.In Base-16 Excess 64 - for single precision numbers, like floats - we use 4 bytes, or 32 bits. The first bit is the sign bit, followed by a 7 bit exponent, followed by the mantissa (or the significand). I assume you know how to convert numbers into binary. Let's convert 2.25 into excess 64.1) Get the sign bit.2.25 is positive so it's 0.2) Write the number in binary.2.25 = 10.01B3) Move the radix (the decimal) in powers of 16 (4 bits - nibbles) until the number is less than 1 and greater than .03125 (or .00001B). In other words, we want the radix as close to the first 1 as possible, but the number has to be less than 1. When the number is stored like this it is said to be normalized.*10.01 = .001001 * 1614) Remove the decimal and add zeros to the end of the number until there are 24 bits. This is the mantissa.0010 0100 0000 0000 0000 00005) Since this is excess 64 (the bias is 64), we add the exponent from step 3 to 64 and convert that to binary, which will be the exponent. In this case, the exponent of 16 was 1.64 + 1 = 65 = 1000001B6) Now we put it all together. Sign bit, then exponent, then mantissa.0 1000001 001001000000000000000000s e mor in hex:0x41 0x24 0x00 0x00*Step 3 is a bit hard to follow, so here are more examples. If the number is .03125 (.00001B) we would move the radix right one nibble, so it would become .1 * 16-1. If the number was 37.5 (100101.1B) it would become .001001011 * 162IEEE 754As I mentioned in the beginning, real numbers are usually stored in IEEE 754, not excess 64. In IEEE 754 - for single precision, like floats - 1 bit is used for the sign bit, 8 bits are used for the exponent, and the last 23 bits are used for the mantissa. Also, in IEEE 754 the number is said to be normalized when it is between 1 and 2, the bias is 127 (as opposed to excess 64 where the bias is 64), and it is base-2. Let's convert 17.125.1) Find the sign bit.17.125 is positive so the sign bit is 0.2) Write the number in binary.17.125 = 10001.001B3) Move the radix (the decimal) in powers of 2 (1 bit) until the number is between 1 and 2. When the number is stored like this it is said to be normalized.*10001.001 = 1.0001001 * 244) The number is normalized (it is between 1 and 2), so the leading 0 is dropped. Only the floating portion is retained. Remove the decimal point and add zeros to the right until there are 23 bits. This is the mantissa.0001 0010 0000 0000 0000 0005) Add the exponent from step 3 (24 so the exponent is 4) to the bias, 127, and convert it to binary. This is the exponent.127 + 4 = 131 = 10000011B6) Now just put it all together. Sign bit, then exponent, then mantissa.0 10000011 00010010000000000000000s e mor in hex:0x41 0x89 0x00 0x00*Step 3 is hard to follow, so here are two more examples of normailizing numbers:12.5 = 1100.1B = 1.1001 * 23..125 = .001B = 1 * 2-3Something to remember is that in memory numbers are stored low order first, then high order, so if you have a look at your memory, you will see the numbers in reverse. Here's a C++ code snippet to show that it works:typedef unsigned char BYTE;float fl = 17.125;BYTE* pFl = (BYTE*)&fl;for (int i= sizeof(float) - 1; i >= 0; i--)cout
How many milligrams of a 15.0 mg sample of radium-226 remain after 6396 years if the half-life of radium-226 is 1599?
One sixteenth of a gram. 1st halflife- 1/2 gram 2nd, 1/4 3rd 1/8th 4th halflife, 1/16th
