Vary number in binary

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Aug 6th, 2022
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How to vary number in binary

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in this video weamp;#39;re gonna talk about how to convert hexadecimal numbers into binary numbers so letamp;#39;s start with this example a 9 how can we convert that into a binary number well the first thing we needs to do is convert the a into a number or a decimal value in the hexadecimal system a corresponds to 10 in the decimal system B corresponds to 11 C corresponds to 12 D corresponds to 13 eco responds to 14 and F corresponds to 15 so we can replace a with 10 now each number and letter in the hexadecimal system you can represent it with a binary number in groups of four so a corresponds to 10 and we have a nine now how can we convert each of these numbers into a binary number so letamp;#39;s start with nine so letamp;#39;s use the numbers 8 4 2 1 1 is basically 2 to the 0 2 itamp;#39;s 2 to the first power 4 is 2 squared 8 is 2 to the third power 9 is the sum of 8 and 1 so weamp;#39;re gonna replace the 8 with a 1 yeah because we didnamp;#39;t use the 4 in a - weamp;#3

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To normalize data, start with the simplest approach by dividing each value by the maximum value in your dataset. For instance, if the maximum value is 100 and your value is 75, the normalized value is 0.75.
Divide the number by 2. Record the result and the remainder. Continue to divide the result by 2. Stop until the result is 0. The binary answer is the remainder,read it from bottom.
Many text books state that for a binary floating point representation in a computer byte, that if the mantissa is normalised, then a positive number must start with 01 from the left or a negative number with 10 from the left.
Therefore, the binary equivalent of decimal number 255 is 11111111.
19:36 22:40 The point was moved to two places to the right. So subtracting two from three will give us a newMoreThe point was moved to two places to the right. So subtracting two from three will give us a new exponent of one. This is the normalized form if you convert both forms back into denry.
To ensure the mantissa is as precise as possible (normalised), the binary point and exponent should be adjusted so that: A positive number has a 0 before the binary point and a 1 after it. A negative number has a 1 before the binary point and a 0 after it.
To assign value in binary format to a variable, we use the 0b suffix. It tells the compiler that the value (suffixed with 0b) is a binary value and assigns it to the variable. Note: To print value in binary format, we use bin() function.
Given a binary number, such as 00011010.1001, we can write the number in normalized form (scientific notation) by shifting the radix to come after the initial 1. For 11010.1001, the radix point should be sifted 4 places to the left, obtaining 1.10101001 and an exponent 4 (written 100 in binary).

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