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BOOL Function

Purpose

Performs a Boolean operation on two bit-string arguments.

Syntax

BOOL(x,y,z)

Parameters

x and y are bit-string arguments, and z is a bit string.

Description

The BOOL function performs a Boolean operation on two bit-string arguments, x and y, and returns the result as a bit string with the length of the longer argument.

z should be a bit string 4 bits long. If not, it is converted to Bit (4).

If x and y are null strings, the result is a null string. If x is not the same length as y, the shorter string is extended on the right with zero bits until x and y are the same length. The bit values within z are m1, m2, m3, m4 from left-to-right, respectively.

The Ith bit value of the result is set to one of the values m1, m2, m3, m4 depending on the Ith bit value of x and y according to table below.

X(I)     Y(I)     RESULT(I)
0 0 m1
0 1 m2
1 0 m3
1 1 m4

In other words, bit string z defines the result of some Boolean function. For instance, to define the function OR, the value of bit string z is given as '0111'b. To define the function AND, bit string z is '0001'b. The result is a bit string of the same length as x and y, obtained by applying the function rule described by z to each bit position of string x and string y.

Examples

BOOL('1100110'b,'0101'b,'0110'b)  /*returns '1001110'b */

In this example, the second argument is extended to '0101000'b. For bit 1, x is 1 and y is 0. Therefore, the resulting bit is the value m3or 1. For bit 2, x is 1 and y is 1, therefore the resulting bit is the value of m4 or 0. A comparison of bits 3, 0, and 0 produces the value m1 or 0.

Restrictions

None.

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