Answer:
Ac = 10100100011
A U B = 11111111110
A ∩ B = 00010011000
A - B = 00010010110
Explanation:
Given:
A = 01011011100
B = 10110111010
1) Inverting the bits of A to calculate the complement, Ac = 10100100011
2) Bitwise union reference:
0 U 0 = 0
0 U 1 = 1
1 U 0 = 1
1 U 1 = 1
=> A U B = 01011011100 U 10110111010 = 11111111110
3) Bitwise interselection reference:
0 ∩ 0 = 0
0 ∩ 1 = 0
1 ∩ 0 = 0
1 ∩ 1 = 1
A ∩ B = 00010011000
4) Converting A and B to decimal and subtracting:
A - B = 732-582= 150
Converting 150 to binary, A - B = 00010010110
