Answer : 8
If you want to find out How many additions/Subtractions are required for the multiplication using Booth's algorithm. then Rules are like this
Take multiplicand and multiplier like they are given in the question :
Multiplicand : 0101 1010 1110 1110
Multiplier: 0111 0111 1011 1101
Now find out the 01 and 10 pairs combinedly means see both Multiplicand and Multiplier simultaneously first pair is 00 then 11 ,01 ,11 , 10 01 11 01 11 10 11 01 11 11 10 01
why i asked you to do this because this is the rule a/c to Booth's algorithm. to find out no of additions/Subtractions it also says don't do anything if you got 11 or 00 .