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Boolean AND
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This subchapter looks at Boolean AND.
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This subchapter looks at Boolean AND.
free computer programming text book projecttable of contents

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 AND.
Please note the differences between a logical Boolean operation, an integer Boolean operation, and a bitwise Boolean operation.
AND requires both objects to be true for the result to be true. The AND works like a pair of switches in series. Both switches must be closed for current to flow.
AND is conisdered to be Boolean multiplication and is represented by the middle dot symbol: · (such as A·B). As in ordinary algebra, AND (Boolean multiplication) can be written by dropping the middle dot (such as AB). There is no Boolean division operation.
The truth table for AND is as follows:
A  B  result 

0  0  0 
1  0  0 
0  1  0 
1  1  1 
The AND gate in logic circuits looks like:
The AND operation (Boolean multiplication) has the same results as ordinary arithmetic multiplication..
The AND operation has a result of 0 when any of its input variables is 0.
The AND operation has a result of 1 only when both of its input variables are 1.
BASIC AND — Wang BASIC 2200B function. Form is AND(p$,q$) or AND(p$,q). In the first form, the two string variables are bitwise ANDed on a character by character basis. In the second form, the twodigit hexadecimal constant is bitwise ANDed with each character in the character string P$.
PL/I ALL(x) — Pl/I builtin function that performs a Boolean AND 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 AND operation is performed on the bits of the integer ignoring the plus sign. The result returned is '1'B if all bits are '1'B and the result returned is '0'B if any bit is not 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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