Question

1. Convert 101 1010 (seven bits) into a signed decimal (show work)

Answer 1

since left most bit is 1, this number is negative number.
so, follow these steps below to convert this into a decimal value.
I. first flip all the bits. Flip all 0's to 1 and all 1's to 0.
   1011010 is flipped to 0100101
II. Add 1 to above result
0100101 + 1 = 0100110
III. Now convert this result to decimal value
Converting 100110 to decimal
100110
=> 1x2^5+0x2^4+0x2^3+1x2^2+1x2^1+0x2^0
=> 1x32+0x16+0x8+1x4+1x2+0x1
=> 32+0+0+4+2+0
=> 38
Answer: -38