Booth's algorithm Question : Binary Number Arithmetic (Multiplication)
When you use normal multiplication, multiplicand and multiplier are represented using (Sign + Magnitude) representation. So effectively 1101 is +(13) in Decimal and (1110) is +14 in decimal as they represent the magnitude. Sign bit would be separate. So the result is (+13)*(+14) = +182 which is 1011 0110 in binary.
When you use booth multiplication, operand are in 2's complement representation. So 1101 is -3 and 1110 is -2 in decimal. So the answer will be 0000 0110 that is +6 in decimal. The problem is with your representation of multiplicand and multiplier.