Change issue in binary smoothly

Aug 6th, 2022
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How to Change issue in binary

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in this video were going to talk about how to convert a decimal number into a binary number so lets go ahead and begin so how can we convert 75 into a binary number it helps to be familiar with the powers of two two to the zero power is one two to the first power is two two to the second power is four two to the third power is eight two to the fourth power is sixteen 2 to the fifth power is 32 2 to the sixth power is 64. two to the seventh power is 128. now we dont need to go further because 128 exceeds 75. so the highest number that is the highest base 2 number that is less than 75 is 64. so were going to start with 64. now in this video im going to show you two ways to convert a decimal number into a binary number the first half of the video will focus on the subtraction method and the second half will focus on successive division so im going to show you both ways and then you can pick and choose which method you prefer now once you have your first number which is 64 in this c

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The decimal number 0.75 is written as 0.11 in binary.
Conversion to and from floating-point To convert a number from floating point to fixed point, one may multiply it by the scaling factor S, then round the result to the nearest integer.
The major disadvantage of binary number is difficult to read and write for humans because of large number of binary of a equivalent decimal number.
The value on the left of the decimal point is divided by 2 to get the remainder as the binary digits right to left from the binary decimal point. The value on the right of the decimal point is multiplied by 2 to get the whole number as the binary digits from left to right from the binary decimal point.
To convert the fractional part to binary, multiply fractional part with 2 and take the one bit which appears before the decimal point. Follow the same procedure with after the decimal point (.) part until it becomes 1.0.
Fractional binary numbers can be represented in fixed point or floating point form. In fixed point form, the binary point is set in a fixed position, and therefore it does not need to be stored in memory.
The value on the left of the decimal point is divided by 2 to get the remainder as the binary digits right to left from the binary decimal point. The value on the right of the decimal point is multiplied by 2 to get the whole number as the binary digits from left to right from the binary decimal point.
In this example, the decimal representation of 1.23 is first converted to a binary (11,7) value, as 1.0011101B.

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