Conversion of 2's complement binary to decimal?

Question

I am working on some problems for one of my classes and I have to convert 2's complement binary to decimal and I am wondering if I did it right.
so the 2 complement binary is 0110, so I know it's a positive number because of the leading term. Then I inverted it, making it 1001 and add 1 getting 1010 and I get 10, but the prof.'s answer says it's 6, but I don't know why, and I don't know where I messed up, or if he did.
Thanks

Answer 1

Basically your mistake is that you complemented the number (inverted it & added 1). This number is a positive number in the first place, so you shouldn't go through the complement process. You only do that for negative numbers.

For example suppose that your number was 1110. The MSB (the digit all the way to the left) is 1, so this is a negative number. Now knowing that it is negative, you complement it
(1110--->invert--->0001--->plus 1---->0010 = 2). So the number you're looking at is negative two ( -2).

Answer 2

to convert into binary you divide by 2 into the number and the
remainder is the binary. As you probably know..

6/2=3 zero binary
3/2=1.5 one binary
1/2=.5 one binary
0/2=0 zero binary

so the 6 dec-->2 binary is equal to 0110

if you want -6 you invert the binary making it 1001 and add 1
gives you 1010. you do this procedure if you want the negative of the binary number.

Answer 3

0110 Binary equals 6 decimal since the MSB (left most bit) is a zero.

1 - 1
2 - 10
3 - 11
4 - 100
5 - 101
6 - 110
7 - 111
8 - 1000
9 - 1001
10 - 1010
11 - 1011
12 - 1100
13 - 1101
14 - 1110
15 - 1111

Answer 4

0110 = 6
Are u sure u didn't misunderstand the question or the answer?

Answer 5

www.mc.edu/campus/users/bennet/cs110/tc/tctod.html