What is the decimal equivalent of the following sequence of bits, which represents an unsigned binary integer: 1101001. What is the decimal equivalent if the sequence in bits encodes a two’s complement binary integer.

1101001

Unsigned binary number means every bit represents a power of two. The sum of the powers present in the binary representation gives the number in decimal. 

We start from right to left: 12⁰+02¹+02²+12³+02⁴+12⁵+1*2⁶= 105

two’s complement binary integer = signed binary integer, in which the leftmost power is multiplied by (-1).

We start from right to left: 12⁰+02¹+02²+12³+02⁴+12⁵+(-1)12⁶=- 23