2014年6月3日 星期二

Verilog Operators

Verilog Operators


List of operators:

Arithmetic:
+   --   *   /
Modulus:    
%
Relational:  
<   <=   >   >=
Logical:          
!   &&   ||
Logical equality:      
==   !=
Case equality:  
===   !==
Bit-wise:       
~   &   |  ^    ~^   ^~
Reduction:  
&   ~&   |    ~|   ^   ~^   ^~
Shift:                    
<<   >>
Conditional:                       
? :
Event or:                      
or
Concatenations:       
{}   {{}}

Priority:

This list provides priority of Verilog Operators:
Operator
Type
+ - ! ~
Unary
*  /  %
Arithmetic
+  -  (binary)
Binary
<< >>
Shift
< <= > =>
Relational
== != === !==
Equality
& ~&
and nand
^ ~^ ^~
xor xnor
| ~|
or nor
&&
Logical and
||
Logical or
?:
Conditional operator

Arithmetic operators


Operator
Description
+ b
(Addition) a plus b
- b
(Subtraction) a minus b
* b
(Multiplication) a multiplied by b
/ b
(Division) a divide by b
% b
(Modulus) a modulo b

module operators();

reg [3:0] a, b;

   initial
   begin
      a = 3;
      b = 5;
      $display(a + b );    //  8
      $display(a ? b: 1 ); //  5
      $display(a * b );    //  15
      $display(a / b );    //  0
      $display(b / a );    //  1
      $display(a % b );    //  3
      $display(7 % 3 );    //  1
      $display(7 % -3 );   //  1
      $display(-7 % 3 );   // -1
      $display(-7 % -3 );  // -1
   end

endmodule
Output:8
5
15
0
1
3
1
1
-1
-1

Relational operators

Operator
Description
< b
less than b
> b
greater than b
<= b
less than or equal to b
=> b
greater than or equal to b

Equality operators

The equality operators are used to compare expressions. If a comparison fails, then the result will be 0, otherwise it will be 1.
If both operands of logical equality (==) or logical inequality (!=) contain unknown (x) or a high-impedance (z) value, then the result of comparison will be unknown (x). Otherwise it will be 1 or 0.
If operands of case equality (===) or case inequality (!==) contain unknown (x) or a high-impedance (z) value, then the result will be calculated bit by bit.

Logical operators

The logical operators are used to connect expressions.
Operator
Description
a && b
and b
|| b
or b
!a
not a

Bit-wise operators


&
0
1
x
z
0
0
0
0
0
1
0
1
x
x
x
0
x
x
x
z
0
x
x
x
|
0
1
x
z
0
0
1
x
x
1
1
1
1
1
x
x
1
x
x
z
x
1
x
x
^
0
1
x
z
0
0
1
x
x
1
1
0
x
x
x
x
x
x
x
z
x
x
x
x
~^ ^~
0
1
x
z
0
1
0
x
x
1
0
1
x
x
x
x
x
x
x
z
x
x
x
x
~
Result
0
1
1
0
x
x
z
x

Reduction operators

The reduction operator produces a 1-bit result. This result is calculated by recursively applying bit-wise operation on all bits of the operand. At each step of this recursive calculation the logical bit-wise operation is performed on the result of a previous operation and on the next bit of the operand. The operation is repeated for all bits of the operand.

Shift operators

The shift operators perform left and right shifts on their left operand by the number of positions specified by their right operand. All vacated bits are filled with zeroes. If the expression that specifies the number of bits to shift (right operand) has unknown (x) or high-impedance (z) value, then result will be unknown.
Examples of using the shift operators are in shown Example 7.

Conditional operator

The conditional operator is described in the Conditional operator section.

Concatenations

Concatenations are described in the Concatenations section.

Event or operator

The event or operator is described in the section on Procedural timing controls.

Example:

module example();

reg [3:0] a, b;
reg [7:0] c, d;

initial
begin
   a = 4'b1110;   //14
   b = 4'b0110;   //5
   $display( "%b", a < b );// false - 0
   $display( "%b", a > 8 );// true - 1
   $display( "%b", a <= b );// false - 0
   $display( "%b", a >= 10 );// true - 1
   $display( "%b", a < 4'b1zzz );// unknown - x
   $display( "%b", b < 4'b1x01 );// unknown - x
   a = 4'b1100;
   b = 4'b101x;
   $display( "%b", a == 4'b1100 ); // true - 1
   $display( "%b", a != 4'b1100 );// false - 0
   $display( "%b", a == 4'b1z10 );// false - 0
   $display( "%b", a != 4'b100x );// true ? 1
   $display( "%b", b == 4'b101x );// unknown - x
   $display( "%b", b != 4'b101x );// unknown - x
   $display( "%b", b === 4'b101x );// true - 1
   $display( "%b", b !== 4'b101x );// false - 0

   a = 4'b1100;
   b = 4'b0000;
   $display( "%b", !a );// 0 - false
   $display( "%b", !b );// 1 - true
   $display( "%b", a && b ); // 0 - false
   $display( "%b", a || b );// 1 ? true

   c = 8'b1010xzxz;
   d = 8'b10010011;
   $display( "%b", c & d );  //= 8'b100000xx;
   $display( "%b", c | d );  //= 8'b1011xx11;
   $display( "%b", c ^ d );  //= 8'b0011xxxx;
   $display( "%b", c ~^ d );  //= 8'b1100xxxx;
   $display( "%b", ~ c );  //= 8'b0101xxxx;

   a = 4'b1111;
   $display( "%b", a << 3 );  //= 4'b1000
   $display( "%b", a >> 3 );  //= 4'b0001
   $display( "%b", a << 1'bz );  //= 4'bxxxx
   $display( "%b", a >> 1'bx );  //= 4'bxxxx
end

endmodule

value
&
~&
|
~|
^
~^
^~
4'b0000
0
1
0
1
0
1
1
4'b0001
0
1
1
0
1
0
0
4'b0011
0
1
1
0
0
1
1
4'b0111
0
1
1
0
1
0
0
4'b1111
1
0
1
0
0
1
1
4'b01xx
0
1
1
0
x
x
x
4'b01z0
0
1
1
0
x
x
x
Reduction operators

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