Question

The binary equivalent of (–19)10 in signed magnitude system is

Answer 1

-190 is answer
of your question

Answer 2

The binary equivalent of (-19)10 in signed magnitude system is 10010011.

The process of this convertion has been elucidated below:

1. The positive version of the number is taken at first and then repeatedly divided by 2 and remainders are noted for each step.This is done till we get the quotient as '0'.

2. The list of remainders are then taken starting from the bottom, which comes to 10011 in this case.

3. The length of the resulting number is noted which must be a power of 2. In this case it is 5, so it is converted to the nearest number(2^3) that fits to the criteria.

4. The leftmost or the first bit should be reserved for the sign,i.e. if original number is negative then '1' is placed otherwise '0'.

Here, since the number is -19, 1 is placed at the first position and the rest of the places are filled with '0' to make it a 8-digit number.