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Because sign magnitude has 2 representations for 0 100000000000000000000 ( = -0) and 000000000000000000000 ( = +0) Clearly, -0 = +0. However, because of these two representations, different machines process sign magnitude differently at 0. Two's complement avoids this problem and is therefore used much more commonly.
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
the sign of the result will be that same sign -2-4=-6 2+4=6 -45-35=-80 35+45=80 etc
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.