# Bitwise Or¶

The Bitwise Or (denoted as '|') is implemented by applying the following truth table between each pair of qubits (or qubit and bit) in registers A and B.

a b a or b
0 0 0
0 1 1
1 0 1
1 1 1

Note that integer and fixed-point numbers are represented in a two-complement method during function evaluation. The binary number is extended in the case of a register size mismatch.

For example, the positive signed number $$(110)_2=6$$ is expressed as $$(00110)_2$$ when operating with a five-qubit register. Similarly, the negative signed number $$(110)_2=-2$$ is expressed as $$(11110)_2$$.

Examples:

5 | 3 = 7 since 101 | 011 = 111

5 | -3 = -3 since 0101 | 1101 = 1101

-5 | -3 = -1 since 1011 | 1101 = 1111

## Syntax¶

Function: BitwiseOr

Parameters:

• left_arg: Union[int, RegisterUserInput] (see RegisterUserInput)
• right_arg: Union[int, RegisterUserInput] (see RegisterUserInput)
• output_size: Optional[PositiveInt]

Register Names:

• left_arg: left_arg
• right_arg: right_arg
• result: bitwise_or
{
"function": "BitwiseOr",
"function_params": {
"left_arg": 3,
"right_arg": { "size": 3 }
}
}


## Example 1: Two Register¶

{
"functions": [
{
"name": "main",
"body": [
{
"function": "BitwiseOr",
"function_params": {
"left_arg": {
"size": 5,
"is_signed": true
},
"right_arg": {
"size": 3
}
}
}
]
}
]
}

from classiq import Model, QUInt, QSInt, synthesize
from classiq.builtin_functions import BitwiseOr

params = BitwiseOr(
left_arg=QSInt(size=5).to_register_user_input(),
right_arg=QUInt(size=3).to_register_user_input(),
)
model = Model()
model.BitwiseOr(params)
quantum_prgram = synthesize(model.get_model())


This example generates a circuit that performs bitwise 'or' between two registers. The left arg is signed with five qubits and the right arg is unsigned with three qubits. ## Example 2: Integer and Register¶

{
"functions": [
{
"name": "main",
"body": [
{
"function": "BitwiseOr",
"function_params": {
"left_arg": 3,
"right_arg": {"size": 3}
}
}
]
}
]
}

from classiq import Model, RegisterUserInput, synthesize
from classiq.builtin_functions import BitwiseOr

params = BitwiseOr(left_arg=3, right_arg=RegisterUserInput(size=3))
model = Model()
model.BitwiseOr(params)
quantum_program = synthesize(model.get_model())


This example generates a circuit that performs a bitwise 'or' between a quantum register and an integer. The left arg is an integer equal to three and the right arg is an unsigned quantum register with three qubits. 