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Q: What are the rules in converting binary numbers to decimal numbers?

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rules in changing/converting the decimal numerals to scientic notation and vice versa

There are a few rules to perform arithmetic operations in binary numbers. According to those rules you can add or subtract binary numbers. There are only two arithmetic operations used in binary numbers, they are addition and subtraction.

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There is no difference. Decimal notation is merely a human convenience. The same rules that apply to decimal also apply to binary, the only difference being that decimal has 10 digits and deals with powers of 10, while binary uses 2 digits and deals with powers of 2. Binary (base-2) is the most primitive form of numeric notation and by far the simplest to implement at the machine level.

There are many. There are those that deal with the four basic binary operations, then there are rules governing exponents and logarithms.

to convert scientific notation to decimal you count the number of spaces up to the last digit then put the decimal point then put x10 to the power of if how many places you move the decimal point.................................

The only rule is that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point.

Line up the decimal points in a vertical column. Then add the numbers while ignoring the decimal point. Finally, put a decimal point in the answer in the same column as for the summands.

No, they are binary operators. Two numbers (or variables) are combined, according rules of operation to give a single answer.

None of the following rules are applicable.

They are the same. The rules of arithmetic do not change simply because you choose to represent the numbers differently.

The person above answered by converting to decimal. Since our normal algebraic rules are designed for base-10 (ever try dividing in hex?) I suggest using the Calc program in Windows. Start the program, and in View, change the mode to Scientific. You will see one box called "Dec" selected. That is decimal notation. There is Hex for hexadecimal and Bin for binary. Click Bin, type in 1010, click +, type 1101, and press enter. FYI, if you now click Dec you will instantly convert the answer (10111) to decimal (23.)

Much the same way as you do for decimal numbers. The rules are just the same, bearing in mind that the positions in a long number represent powers of 2 instead of powers of 10, so the maximum digit in any position is 1 instead of 9. The the right of the "point" they are "halves, quarters, eighths," etc instead of "tenths, hundredths, thousandths" etc So Binary 101.11 is 4+0+1+1/2+1/4 = 5.75 in decimal. In any base the number "10" represents the base ... in decimal, 10 means ten, and in binary, 10 means two.

The answer to an addition question should have no more decimal places than the smallest number of decimal places in the numbers being added. When rounding numbers, numbers 5 though 9 will be rounded up and 1 through 4 will be rounded down.

A math operation is a question involving numbers and/or numerals. * * * * * An operation is a rule according to which two (or more) numbers (or variables) are combined to form another number (or variable). The numbers or variables need not all be different. Addition. subtraction, multiplication and division are common binary operations. The word "binary" means that they are rules about combining two variables to form a third. In many cases, a binary operation can be applied again and again so that adding together of a lot of numbers does not appear to be binary.

If there are any numbers which are integers and so do not have a decimal point, then append one at the extreme right. Then arrange all the numbers in a column, with their decimal points aligned. Ad up the numbers ignoring the decimal points entirely. In the answer insert a decimal point under the column of decimal points.

There are no set rules in naming binary molecular compounds. However, often an alphabetical order is required to sequence the data.

The binary system has only two digits: 0 and 1 The decimal has ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 In binary, numbers are expressed as linear combinations of powers of 2 as in 13 = 1*23 + 1*22 + 0*21 + 1*20 which is written as 1101 In decimal, they are expressed in terms of powers of 10: 1507 = 1*103 + 5*102 + 0*21 + 7*20 All rules of mathematical operations (addition, subtraction, multiplication, division, exponents, etc) apply to both systems in the same way.

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rules of operation sign of numbers

Do the calculations, then round to one decimal digit, since the least precise of the numbers involved has one decimal digit.

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Write the numbers one below the other and line up the "binary" points. Add then together using the following rules: 0 + 0 = 0 0 + 1 = 1 and 1 + 1 = 0 and carry 1 to the previous column. To align the following in this browser, I have to add many leading 0s that are unnecessary on paper. 001110110.10011 0000000+1.1001 0=1111000.00101

In converting numbers into scientific notation, first you should move the decimal point such that there would be one significant figure to the left of the decimal point. Examples: 299792458 -> 2.99792458 0.0000000000667428 -> 6.67428 Then, count the number of times you moved the decimal point. Note the direction of movement. Examples: 299792458 -> 2.99792458 (8 digits to the left) 0.0000000000667428 -> 6.67428 (11 digits to the right) Lastly, express the number as a product of the modulus (the number with the decimal point moved) and a power of ten. Examples: 299792458 -> 2.99792458 x 108 (If the decimal point was moved to the left, the power is positive) 0.0000000000667428 -> 6.67428 x 10-11 (If the decimal point was moved to the right, the power is negative)

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