Number System one’s or two’s complement Quiz Example Question

Number System  one’s or two’s complement Quiz Example Question Assignment 

Q1.                                                                                                                                                                        

Represent the following decimal numbers in binary using four bits:

0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111

0, 1, 2, 3, 4, 5, 6, 7, -8, -7, -6, -5, -4, -3, -2, -1

a.       -5

1011

b.      -7

1001

c.       -9

Not possible

Q2.                                                                                                                                                                        

Find one’s complement of the following binary numbers:

a.       0100

1011

b.      0011

1100

c.       0010

1101

Q3.                                                                                                                                                                        

Find two’s complement of the numbers given in Q2. Also write the decimal equivalents of the numbers represented by two’s complement.

1011+1 = 1100 = (-4)₁₀

1100+1 = 1101 = (-3)₁₀

1101+1 = 1110 = (-2)₁₀