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Boolean OR
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This subchapter looks at Boolean OR.
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This subchapter looks at Boolean OR.
free computer programming text book projecttable of contents
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This subchapter is a stub section. It will be filled in with instructional material later. For now it serves the purpose of a place holder for the order of instruction.
Professors are invited to give feedback on both the proposed contents and the propsed order of this text book. Send commentary to Milo, PO Box 1361, Tustin, California, 92781, USA.
This subchapter looks at Boolean OR.
Please note the differences between a logical Boolean operation, an integer Boolean operation, and a bit-wise Boolean operation.
OR (or inclusive or) requires either object to be true for the result to be true. The OR works like a pair of switches in parallel. Current will flow if either or both switches are closed.
OR is conisdered to be Boolean addition and is represented by the plus symbol: + (such as (A+B). There is no Boolean subtraction operation.
The truth table for OR is as follows:
A | B | result |
---|---|---|
0 | 0 | 0 |
1 | 0 | 1 |
0 | 1 | 1 |
1 | 1 | 1 |
The OR gate in logic circuits looks like:
The OR operation has a result of 1 when any of its input variables is 1.
The OR operation has a result of 0 only when both of its input variables are 0.
In OR (Boolean addition) 1 + 1 = 1. Similarly, 1 + 1 + 1 = 1.
PL/I ANY(x) Pl/I built-in function that performs a Boolean OR on all of the bits of the bit string x. If the data item x is not a bit string, then it is converted to a bit string. If the data item x is CHARACTER then the character string should contain only the characters '1' and '0'. If the data item x is arithmetic, then the item is changed into a positive fixed point binary integer (applying absolute value if needed) and the OR operation is performed on the bits of the integer ignoring the plus sign. The result returned is '1'B if any bit is '1'B and the result returned is '0'B if none of the bits are a '1'B.
Logical instructions typically work on a bit by bit basis, although some processors use the entire contents of the operands as whole flags (zero or not zero input, zero or negative one output). Typical logical operations include logical negation or logical complement (NOT), logical and (AND), logical inclusive or (OR or IOR), and logical exclusive or (XOR or EOR). Logical tests are a comparison of a value to a bit string (or operand treated as a bit string) of all zeros. Some processors have an instruction that sets or clears a bit or byte in registers or memory based on the processor condition codes.
See also Logical Instructions in Assembly Language
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Created: December 6, 2010
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