What is the largest positive decimal number represented by a 3-bit 2\'s compleme

Question

What is the largest positive decimal number represented by a 3-bit 2's complement number"? What is the most negative decimal number represented by a 3-bit 2's complement number? What is the largest positive decimal number represented by a 7 bit 2's complement number? What is the most negative decimal number represented by a 7-bit 2's complement number"? What is the largest positive decimal number represented by an 8 bit 2's complement number? What is the most negative decimal number represented by an S-bit 2's complement number"? Covert -15 and 9 into 4-bit two's complement numbers, add the two's complement number together, and convert the result back to a decimal number. Covert -15 and 9 into 8-bit two's complement number, |add the two's complement number together, and convert the result back to a decimal number. Covert -15 and -9 into 8-bit two's complement number, subtract the first two's complement number from the second two's complement number, and convert the result back to a decimal number.

Explanation / Answer

1) first bit will represent it is +ve or -ve thus

largest +ve number by 3bit 2's comlemetn is 011 is 3

2) negative number is 111 means -3

3) 0 111111 = 63

4) 1 111111 = -63

5) 0 111 1111 = 127

6) 1 111 1111 = -127

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