Data types - binary, sign and magnitude and two's complement

Represent positive integers in binary. Use of sign and magnitude and two’s complement to represent negative numbers in binary.

What is the issue with sign and magnitude representation?

There are 2 values for zero. 1000 0000 (-0) and 0000 0000 (+0)

In sign and magnitude representation if the MSB is 1, if the number positive or negative?

negative

In sign and magnitude representation if the MSB is 0, if the number positive or negative?

positive

Convert the denary number -44 into binary using 8 bit sign and magnitude representation

10101100

What is the value of the MSB of a binary number that is n bits long in two’s complement?

-(2^n-1)

What is the value of the MSB for an 8 bit number in two’s complement?

-128 (-2^7)

Steps of fining a negetive number in two’s complement?

1. Find the positive equivilent

2. Flip the bits

3. Add 1

What is the range of values that can be repersented in sign and magnitude for n number of bits

2^(n-1)-1 eg +/1 127 for 8 bits

largest value that can be represented by 8 bit two’s complement

127/01111111