Question

Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings.

a) 1011110, 0100001
b) 11110000, 10101010
c) 0001110001, 1001001000
d) 1111111111, 0000000000

Short answer

a) Bitwise OR 1111111

Bitwise AND 0000000

Bitwise XOR 1111111

b) Bitwise OR 11111010

Bitwise AND 10100000

Bitwise XOR 01011010

c) Bitwise OR 1001111001

Bitwise AND 0001000000

Bitwise XOR 1000111001

d) Bitwise OR 1111111111

Bitwise AND 0000000000

Bitwise XOR 1111111111

Step-by-step solution

Definition of bitwise function

A bitwise function is the one which operates on the bit pattern at the level of individual bits.

Bitwise OR, Bitwise AND and Bitwise XOR in a)

We write given expression in table,

	1011110
	0100001
Bitwise OR	1111111
Bitwise AND	0000000
Bitwise XOR	1111111

Bitwise OR, Bitwise AND and Bitwise XOR in b)

We write given expression in table,

	11110000
	10101010
Bitwise OR	11111010
Bitwise AND	10100000
Bitwise XOR	01011010

Bitwise OR, Bitwise AND and Bitwise XOR in c)

We write given expression in table,

	0001110001
	1001001000
Bitwise OR	1001111001
Bitwise AND	0001000000
Bitwise XOR	1000111001

Bitwise OR, Bitwise AND and Bitwise XOR in d)

We write given expression in table,

	1111111111
	0000000000
Bitwise OR	1111111111
Bitwise AND	0000000000
Bitwise XOR	1111111111