Answer:
1100111 --> 103
101001 --> 41
111110 --> 62
Explanation:
For this let's perform the subtraction operation to get the result. Then, we will convert everything to decimal to check our work.
0110 0111
- 0010 1001
--------------------------
0011 1110
Now that we have performed the binary subtraction (using the same methods that you use for decimal subtraction), let's convert these numbers to their decimal forms.
0110 0111
= 0*2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 0*2^3 + 1*2^2 + 1*2^1 + 1*2^0
= 2^6 + 2^5 + 2^2 + 2^1 + 2^0
= 64 + 32 + 4 + 2 + 1
= 103
0010 1001
= 0*2^7 + 0*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0
= 2^5 + 2^3 + 2^0
= 32 + 8 + 1
= 41
0011 1110
= 0*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 0*2^0
= 2^5 + 2^4 + 2^3 + 2^2 + 2^1
= 32 + 16 + 8 + 4 + 2
= 62
Now that we have done the conversion from binary to decimal, let's check that we performed the subtraction operation correctly.
103
- 41
---------
62
Note, that 103-41 is indeed equal to 62. Therefore, we have successfully performed the subtraction with the binary correctly.
Cheers.
