In the case of 4-bit binary numbers (length 4 bit), how do we represent “-4” in 2’s complement format?
Question
In the case of 4-bit binary numbers (length 4 bit), how do we represent “-4” in 2’s complement format?
Solution
To represent "-4" in 2's complement format for a 4-bit binary number, follow these steps:
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First, write down the binary representation of 4. In a 4-bit binary number, 4 is represented as 0100.
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Next, find the 1's complement of the binary number. This is done by flipping all the bits, i.e., changing all 1's to 0's and all 0's to 1's. So, the 1's complement of 0100 is 1011.
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Finally, find the 2's complement by adding 1 to the 1's complement. So, 1011 + 1 = 1100.
Therefore, "-4" is represented as "1100" in 2's complement format for a 4-bit binary number.
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