Cover up chapter in binary

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Aug 6th, 2022
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How to cover up chapter in binary

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we have already completed binary addition binary subtraction and binary multiplication in this lecture we will learn binary division we want to divide 1 0 1 0 1 0 by 1 1 0 and before this binary division we will first revise division of decimal numbers we want to divide 128 by 8 so this 128 is our dividend and this 8 is our divisor we will start our division from the leftmost digit and in this case we have 1 as the leftmost digit 1 is smaller than 8 so quotient is 0 8 times 0 is 0 and 4 remainder I will subtract this 0 from 1 1 minus 0 is 1 this 2 will come down and we have 12 12 is greater than 8 so quotient is 1 I will again subtract this 8 from 12 to get the remainder remainder is 4 now this 8 will come down so we have 48 and the 8 times 6 8 times 6 will give us 48 exact division and remainder is 0 so this is our answer the quotient of this division and we have to find quotient in every division now we will move to binary division and follow the same steps we will start our division

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Remember that in binary 1 is on: and 0 is off. Choose the binary number that you want to decode. Give each number a value, starting from the extreme right. For example, using the number 1001001, 1=1, +0=2, +0=4, +1=8, +0=16, +0=32, +1=64.
Binary counting 0001, (rightmost bit starts over, and the next bit is incremented) 0010, 0011, (rightmost two bits start over, and the next bit is incremented) 0100, 0101, 0110, 0111, (rightmost three bits start over, and the next bit is incremented) 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111
When x = 0 or 1 and y = 1 or 0, then x+y = 1. But when both x and y are equal to 1, then their addition equals to 0, but the carryover number will equal to 1, which means basically 1 + 1 = 10 in binary addition, where 1 is carry forwarded to the next digit.
In binary, each digit is referred to as a bit, which is short for binary digit. The value of each bit depends on its position within a number, with the rightmost bit representing the ones place, the next bit to the left representing the twos place and so on.
This means that 199 as a binary number is 1100 0111. Note that binary numbers are usually written in blocks of four, separated by a space (eg 0111 1011). In denary, numbers are often written in blocks of three (eg 6 428 721).
Therefore, 255 in binary is 11111111.
The key to reading binary is separating the code into groups of usually 8 digits and knowing that each 1 or 0 represents a 1,2,4,8,16,32,64,128, ect. from the right to the left. the numbers are easy to remember because they start at 1 and then are multiplied by 2 every time.
1+1+1+1 in binary addition is 100; first add two 1 1+1=10 in binary 10+1=11 in binary addition

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