Show how negative 61 would be represented as a binary word S

Solution

Steps to follow.

1) keep dividing the number by 2 and note the remainder until you find it undividable.

2) We get 1 1 1 1 0 1

3) make this in pair for 4 starting from right hand side. 1 1 | 1 1 0 1. Since it is binary representation therefore it will be in group of 4, 8 or 16, hence we add 00 in left and it becomes 0 0 1 1 | 1 1 0 1

4) Take the comliment of abovee binary representation. 1 1 0 0 0 0 1 0 and add 1 to it.

5) so the final result will be 1 1 0 0 0 1 1.