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One way is using the Twos (2s) complement; that is you find the binary representation of the positive number of -19, flip all the bits (0s to 1s and 1s to 0s), and finally add 1 to it.

The positive bit of -19 is simply 19. It has a binary code of 0001 0011 (8 bits are required for this particular method). Flipping the bits, we get 1110 1100. Adding 1 (or 0000 0001) to our last answer, we get 1110 1101 which would be the binary representation of -19.

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Q: How you do find the binary code of -19?
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