Correct state in binary smoothly

Aug 6th, 2022
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How to Correct state 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 same place-value rules apply to the binary system: the right-most place just before what is called the binary point in a binary number is the ones place, the next place to the left is the twos place, the next place to the left of that is the two times two or fours place, and so on.
Adding 0 and 1, we get 1 (no carry). That means the last digit of the answer will be one. Then we move one digit to the left: adding 1 and 1 we get 10. Hence, the answer is 101.
In computer applications, where binary numbers are represented by only two symbols or digits, i.e. 0 (zero) and 1(one).
unlike in decimal numbers where the place value goes up in factors of ten, in binary system, the place values increase by the factor of 2. binary numbers are written as X2. consider a binary number such as 10112. The right most digit has a place value of 120 while the left most has a place value of 123.
Four binary digits (or bits) are called a nibble. A nibble can be equal to 0 through 15 in decimal numbers: 00002 through 11112. (0 through 255 in decimal numbers): 00000000 through 111111112. (111111112 = 128+64+32+16+8+4+2+1 = 25510).
binary code, code used in digital computers, based on a binary number system in which there are only two possible states, off and on, usually symbolized by 0 and 1.

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