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Twos complement of a given 3 or more bit binary number of non-zero magnitude is the same the original number if all bits except the?
ANSWER: MSB IS 1 In the 2's complement representation, the 2's complement of a binary number is obtained by first finding the one's complement (flipping all the bits), and then adding 1 to the result. This representation is commonly used to represent signed integers in binary form. Now, if all bits except the sign bit are the same, taking the 2's complement of the binary number will result in the negative of the original number. The sign bit (the leftmost bit) is flipped, changing the sign of the entire number. For example, let's take the 4-bit binary number 1101 The 2's complement would be obtained as follows: Find the one's complement: 0010 Add 1 to the one's complement: 0011
What is meant by self complementing binary codes?
a binary code is self complementary if complement of any code word is again a code .in self completing codes 9's complement of a number can be obtained by interchanging 0's and 1's.
The 2's compliment of the number 1000 is?
To get the 2s complement, find the 1s complement (by inverting the bits) and add 1. Assuming that number is [4-bit] binary it would be 1000. If it is preceded by 0s, as in, for example, 0000 1000, then it would be 1111 1000.
What does the word complement means in mathematics?
The "complement" of a number is another number in which each digit, when added to the corresponding digit in the original number, will add up to the largest digit of the base in which the number is expressed. That sounds far more complicated than it really is. It's easier to understand by working through it. For example, take the decimal number "1976". The complement of 1976 would be another number which, when added to 1976, gives you the value 9999. In other words, each digit, added to it's corresponding digit in the complement, should total 9. So the complement of 1976 would be 8023. Perhaps a better example would be the number 9876543210. It's complement would be 0123456789. If you add the two numbers together, you'd get 9999999999. It is important to note though, that the complement of a number will differ depending on the base number is expressed in. For example, take the number 100 in decimal. It's complement is 099. If we express that number in binary however: 1100100 it's complement would be: 0011011 which, converted back to decimal, gives us the value 27. In other words, the value of a number's complement depends on the base in which the number is expressed.
What is the minimum number of bits required to represent 18427 in two's complement?
18427(10) = 1000111111111011(2)So, it will need 16 bits (16 digits from the binary value) for 18427 itself. For the complement (the sign), add 1 more bit: the answer is 17.
