I know the answer is 29 but I'm not sure how to arrive at it.
Usually I would take 011101 get its inverse of 100010 and add 1 to get 100011.
The value of this is 35. How then is the answer 29?
Add a comment |
5 Answers
011101 is 29 //Binary to Decimal 100011 + 011101 = 000000 //100011 is inverse+1 100011 = -011101 100011 = -29 There is no '35' because in a two's compliment system any number starting with a '1' is a negative number. This means, assuming 6 bits, that any number greater than 31 (011111) is in fact a negative number.
Comments
The term "two's complement" is ambiguous.
011101is the two's complement representation of the decimal number 29.- Performing the two's complement operation on
011101results in100011(decimal -29, since two's complement notation uses the most-significant-bit as the sign bit).
Comments
The answer is 35, not 29.
invert(0b011101) + 0b1 = 0b100010 + 0b1 = 0b100011 = 35 The question was for the two's complement of 29:
0b011101 = 29 
Comments
The "inverse +1" procedure is for encoding negative numbers.
You know this number is positive because the high bit is zero, so:
1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 16 + 8 + 4 + 0 + 1 = 29
Comments
100011 is correct, and its decimal equivalent is indeed 35. How do you know it should be 29?
