Abstract:
An apparatus, a method, and a computer program are provided to measure the duty cycle of a clocking signal in a processor. Traditionally, variations in the duty cycles of clocks within microprocessors have been of considerable concern. By employing frequency dividers and AND gates, the duty cycles of clocks can be precisely measured and adjusted accordingly to account for variation that might occur. The measurements and adjustments, therefore, can improve the operation of a microprocessor or any other clocked semiconductor.

Description:
FIELD OF THE INVENTION 
   The present invention relates generally to clock signal duty cycles, and more particularly, to on-chip measurement and adjustment of the duty cycle of a clocking signal. 
   DESCRIPTION OF THE RELATED ART 
   In digital circuit design, the clocking signal is an extremely important feature. Degradation of a clocking signal can lead to poor performance. With high frequency microprocessor clocking signals, duty cycle variations of the clocking signal leads to signal degradation. This signal degradation is specifically prevalent where the mid cycle edge is utilized. Additionally, functionality can be limited if the clocked circuits, such as dynamic circuits, on the microprocessor depend on minimum up or down time of the clock cycle. 
   The duty cycle of a clocking signal, however, is dependent on several factors. For example, temperature, circuit design, and loading all affect the duty cycles of clocking signals. Therefore, to be able to properly account for effects that vary the duty cycle, accurate measurement of the duty cycle during normal operation is necessary. 
   It is not unusual, though, for modern microprocessors to employ multi-gigahertz clocking signals. However, off-chip measurements of such high frequency signals are difficult, requiring specialized lab equipment. The bandwidth of typical off-chip measurement equipment is usually limited to a few hundred megahertz, which is at least one order of magnitude lower than the on-chip clocking signals. 
   Once the measurement of the duty cycle has been measured, it still should be controlled. Having a measured duty cycle with no means of control in many cases is not very valuable. Therefore, there is a need for a method and/or apparatus for measuring and adjusting the duty cycle of a clocking signal, off-chip that addresses at least some of the problems associated with conventional off-chip duty cycle measurement methods and apparatuses. 
   SUMMARY OF THE INVENTION 
   The present invention provides apparatus for measuring duty cycle in a processor. Within the apparatus is a variable duty cycle clock that generates both a clocking signal and an inverted clock signal. The clocking signal and the inverted clocking signal are divided by a first and a second frequency divider, respectively. Then, outputs from the first and the second frequency divider are ANDed to produce an output signal. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
     For a more complete understanding of the present invention and the advantages thereof, reference is now made to the following descriptions taken in conjunction with the accompanying drawings, in which: 
       FIGS. 1A and 1B  are schematic diagrams depicting a duty cycle measurement and adjustment circuit; 
       FIG. 2  is a timing diagram depicting the operation of the duty cycle measurement and adjustment circuit; 
       FIG. 3  is a second timing diagram depicting the operation the duty cycle measurement and adjustment circuit; and 
       FIG. 4  is block diagram depicting a simplified duty cycle measurement and adjustment circuit; and 
       FIG. 5  is a timing diagram depicting the operation of the simplified duty cycle measurement and adjustment circuit. 
   

   DETAILED DESCRIPTION 
   In the following discussion, numerous specific details are set forth to provide a thorough understanding of the present invention. However, those skilled in the art will appreciate that the present invention may be practiced without such specific details. In other instances, well-known elements have been illustrated in schematic or block diagram form in order not to obscure the present invention in unnecessary detail. Additionally, for the most part, details concerning network communications, electro-magnetic signaling techniques, and the like, have been omitted inasmuch as such details are not considered necessary to obtain a complete understanding of the present invention, and are considered to be within the understanding of persons of ordinary skill in the relevant art. 
   It is further noted that, unless indicated otherwise, all functions described herein may be performed in either hardware or software, or some combinations thereof. In a preferred embodiment, however, the functions are performed by a processor such as a computer or an electronic data processor in accordance with code such as computer program code, software, and/or integrated circuits that are coded to perform such functions, unless indicated otherwise. 
   Referring to  FIGS. 1A and 1B  of the drawings, the reference numeral  100  generally designates a duty cycle measurement and adjustment circuit. The circuit  100  comprises a first frequency divider  103 , a second frequency divider  105 , a first AND gate  156 , a second AND gate  158 , a third AND gate  160 , a fourth AND gate  162 , a fifth AND gate  164 , a sixth AND gate  166 , a seventh AND gate  168 , an eighth AND gate  170 , a first switch  192 , a second switch  194 , a constant input  172 , and an inverter  121 . 
   The first frequency divider  103  operates by receiving clocking signals from a clock  102  and dividing the clocking signals. To divide the clocking signals, a number of D flip-flops are employed; however, there are a number of other types of frequency dividing circuit that can be utilized and a number of other latches and flip-flops that can be utilized. The first frequency divider  103  is divide by  8 , employing four D flip-flops, but the clocking signal can be divided as many times as desired to make off-chip measurements. The first frequency divider  103  comprises a first D flip-flop  104 , a second D flip-flop  106 , a third D flip-flop  108 , and a fourth D flip-flop  110 . 
   The second frequency divider  105  operates by receiving inverted clocking signals from the clock  102  and dividing the clocking signals. To divide the clocking signals, a number of D flip-flops are employed; however, there are a number of other types of frequency dividing circuit that can be utilized and a number of other latches and flip-flops that can be utilized. The second frequency divider  105  is divide by 8, employing four D flip-flops, but the clocking signal can be divided as many times as desired to make off-chip measurements. The second frequency divider  105  comprises a fifth D flip-flop  112 , a sixth D flip-flop  114 , a seventh D flip-flop  116 , and an eighth D flip-flop  118 . 
   To function, the clock  102  outputs a clocking signal to the first communication channel  120 . The first D flip-flop  104 , the second D flip-flop  106 , the third D flip-flop  108 , and the fourth D flip-flop  110  receive the clocking signal to the respecting clocking inputs, such that the D flip-flops  104 ,  106 ,  108 , and  110  toggle on the rising edge of the clocking signal. Additionally, the inverter  121  receives the clocking signal through the first communication channel  120 , and outputs an inverted clocking signal through a second communication channel  122  to the second frequency divider  105 . Within the second frequency divider  105 , the fifth D flip-flop  112 , the sixth D flip-flop  114 , the seventh D flip-flop  116 , and the eighth D flip-flop  118  receive the clocking signal to the respecting clocking inputs, such that the D flip-flops  112 ,  114 ,  116 , and  118  toggle on the falling edge of the non-inverted clocking signal. 
   The first frequency divider  103  employs feedback to perform the frequency division. The first D flip-flop  104  receives a Qbar output from the fourth D flip-flop  110  through a third communication channel  138 . A Q output from the first D flip-flop  104  is input into the second D flip-flop  104  through a fourth communication channel  124 , and a Q output from the second D flip-flop  106  is input into the third D flip-flop  108  through a fifth communication channel  128 . Also, a Q output from the third D flip-flop  108  is input into the fourth D flip-flop  110  through a sixth communication channel  132 . 
   The second frequency divider  105  also employs feedback to perform the frequency division. The fifth D flip-flop  112  receives a Qbar output from the eighth D flip-flop  118  through a seventh communication channel  154 . A Q output from the fifth D flip-flop  112  is input into the sixth D flip-flop  114  through an eighth communication channel  142 , and a Q output from the sixth D flip-flop  114  is input into the seventh D flip-flop  116  through a ninth communication channel  144 . Also, a Q output from the seventh D flip-flop  116  is input into the eighth D flip-flop  118  through a tenth communication channel  148 . 
   Once the clocking signal has been divided, then the various inputs of the frequency dividers can be tapped to make measurements by ANDing various outputs. The first AND gate  156  ANDs the Q output of first D flip-flop  104  and the Qbar output of the eighth D flip-flop  118 , which are transmitted to the first AND gate  156  through the fourth communication channel  124  and the seventh communication channel  154 , respectively. The second AND gate  158  ANDs the Q output of second D flip-flop  106  and the Q output of the fifth D flip-flop  112 , which are transmitted to the second AND gate  158  through the fifth communication channel  128  and the eighth communication channel  142 , respectively. The third AND gate  160  ANDs the Q output of third D flip-flop  108  and the Q output of the sixth D flip-flop  114 , which are transmitted to the third AND gate  160  through the sixth communication channel  132  and the ninth communication channel  144 , respectively. The fourth AND gate  162  ANDs the Q output of fourth D flip-flop  110  and the Q output of the seventh D flip-flop  116 , which are transmitted to the fourth AND gate  162  through a fourteenth communication channel  136  and the tenth communication channel  148 , respectively. The fifth AND gate  164  ANDs the Qbar output of first D flip-flop  104  and the Q output of the eighth D flip-flop  118 , which are transmitted to the fiflh AND gate  164  through an eleventh communication channel  126  and a fifteenth communication channel  152 , respectively. The sixth AND gate  166  ANDs the Qbar output of second D flip-flop  106  and the Qbar output of the fifth D flip-flop  112 , which are transmitted to the sixth AND gate  166  through a twelfth communication channel  130  and a sixteenth communication channel  140 , respectively. The seventh AND gate  168  ANDs the Qbar output of third D flip-flop  108  and the Qbar output of the sixth D flip-flop  114 , which are transmitted to the seventh AND gate  168  through a thirteenth communication channel  134  and a seventeenth communication channel  146 , respectively. The eighth AND gate  170  ANDs the Qbar output of fourth D flip-flop  110  and the Qbar output of the seventh D flip-flop  116 , which are transmitted to the eighth AND gate  170  through the third communication channel  138  and an eighteenth communication channel  150 , respectively. 
   Various outputs from the first frequency divider  103  are input into first switch  192  to allow for selectively choosing outputs to make measurements and/or adjustments. The first switch position of the first switch  192  receives an output from a constant output  172  through a nineteenth communication channel  174 . The second switch position of the first switch  192  receives the Qbar output of the first D flip-flop  104  through the eleventh communication channel  126 . The third switch position of the first switch  192  receives the Qbar output of the second D flip-flop  106  through the twelflh communication channel  130 . The fourth switch position of the first switch  192  receives the Qbar output of the third D flip-flop  108  through the thirteenth communication channel  134 . The fifth switch position of the first switch  192  receives the Qbar output of the fourth D flip-flop  110  through the third communication channel  138 . The sixth switch position of the first switch  192  receives the Q output of the first D flip-flop  104  through the fourth communication channel  124 . The seventh switch position of the first switch  192  receives the Q output of the second D flip-flop  106  through the fifth communication channel  128 . The eighth switch position of the first switch  192  receives the Q output of the third D flip-flop through the sixth communication channel  132 . The ninth switch position of the first switch  192  receives the Q output of the fourth D flip-flop  110  through the fourteenth communication channel  136 . 
   Various outputs from the AND gates are input into second switch  194  to allow for additional choosing of outputs to make measurements and/or adjustments. The first switch position of the second switch  194  receives an output from a constant output  172  through the nineteenth communication channel  174 . The second switch position of the second switch  194  receives an output of the fifth AND gate  164  through a twentieth communication  184 . The third switch position of the second switch  194  receives an output of the sixth AND gate  166  through a twenty-first communication channel  186 . The fourth switch position of the second switch  194  receives an output of the seventh AND gate  168  through a twenty-second communication channel  188 . The fifth switch position of the second switch  194  receives an output of the eighth AND gate  170  through a twenty-third communication channel  190 . The sixth switch position of the second switch  194  receives an output of the first AND gate  156  through a twenty-fourth communication channel  176 . The seventh switch position of the second switch  194  receives an output of the second AND gate  158  through a twenty-fifth communication channel  178 . The eighth switch position of the second switch  194  receives an output of the third AND gate  160  through a twenty-sixth communication channel  180 . The ninth switch position of the second switch  194  receives an output of the fourth AND gate  162  through a twenty-seventh communication channel  182 . 
   Based on the ANDed outputs and the output of first frequency divider  103  and the second frequency divider  105 , the duty cycle can be measured and adjusted by tapping the various outputs. Referring to  FIG. 2  of the drawings, the reference numeral  200  generally designates a timing diagram depicting the operation of the duty cycle measurement and adjustment circuit  100  of  FIG. 1 . 
   From the timing, the clocking signal from the clock  102  of  FIG. 1  maintains the same period, but the duty cycle varies. The time-up periods steadily increase over the diagram showing that the duty cycle is increasing. From the clocking signals, the output from the first frequency divider  103  through the fourteenth communication channel  136  is aligned with negative clock transitions of the output of the clock  102  and has a period of 8T, where T is the period of the input clock, with a 50% duty cycle. 
   Between t 0  and t 1 , the Qbar output  126  of the first D flip-flop  104  transitions to logic low. The Qbar output  126  of the first D flip-flop  104  is ANDed with the Q output  152  of the eighth D flip-flop  118  to produce the ANDed output  184 . At t 0 , the ANDed output  184  transitions to logic low. The ANDed output  184  has a period of 8T and an uptime of 3T plus an interval corresponding to the downtime of the clock or (1−DC)*T. The interval corresponding to the downtime for the clock in  FIG. 2  is 0.5T, or (1−0.5)*T, yielding a total uptime period of 3.5T. Since the uptime of the ANDed output  184  is 3.5T, then the downtime is 4.5T. 
   In general, the period of the outputs is the mT, where m is the frequency divider ratio. However, the duty cycle of the outputs varies depending on which D flip-flop in the first frequency divider makes the measurement. The duty cycle of the outputs is as follows: 
                       DC   =       ⁢       {         (       (     m   /   2     )     -   1     )     *   T     +       (     1   -     DC   n       )     *   T       }     /   mT                   =       ⁢         (     m   -     2   *     DC   n         )     /   2     ⁢   m       ,                 (   1   )               
where n=1, 2, . . ., (m/2). Since the frequency divider ratio is 8, then n=1, 2, 3, 4. Therefore, for the ANDed output  184 , the output is defined as follows for a 50% duty cycle clock:
 
   
     
       
         
           
             
               
                 Period 
                 = 
                 
                   mT 
                   = 
                   
                     8 
                     ⁢ 
                     T 
                   
                 
               
             
             
               
                 ( 
                 2 
                 ) 
               
             
           
           
             
               
                 
                   
                     
                       
                         DC 
                         184 
                       
                       = 
                         
                       ⁢ 
                       
                         
                           
                             ( 
                             
                               m 
                               - 
                               
                                 2 
                                 * 
                                 
                                   DC 
                                   1 
                                 
                               
                             
                             ) 
                           
                           / 
                           2 
                         
                         ⁢ 
                         m 
                       
                     
                   
                 
                 
                   
                     
                       = 
                         
                       ⁢ 
                       
                         
                           ( 
                           
                             8 
                             - 
                             
                               2 
                               * 
                               0.5 
                             
                           
                           ) 
                         
                         / 
                         
                           ( 
                           
                             2 
                             * 
                             8 
                           
                           ) 
                         
                       
                     
                   
                 
                 
                   
                     
                       = 
                         
                       ⁢ 
                       
                         7 
                         / 
                         16 
                       
                     
                   
                 
                 
                   
                     
                       = 
                         
                       ⁢ 
                       
                         43.75 
                         ⁢ 
                         
                           % 
                           . 
                         
                       
                     
                   
                 
               
             
             
               
                 ( 
                 3 
                 ) 
               
             
           
         
       
     
   
   Each of the respective Qbar outputs of the first frequency divider  103  can be tapped to make similar measurements. In each case, though, the duty cycle of each of the outputs varies depending on the point in the sequence. The transition from logic high to logic low for the second D flip-flop  106 , the third D flip-flop  108 , and the fourth D flip-flop  110  occur between t 1  and t 2 , between t 2  and t 3 , and between t 3  and t 4 , respectively. For the ANDed output  186 , the output is defined as follows for a 60% duty cycle clock: 
                       DC186   =         (     m   -     2   *   DC2       )     /   2     ⁢   m                 =       (     8   -     2   *   0.6       )     /     (     2   *   8     )                   =     6.8   /   16                 =     42.5   ⁢     %   .                     (   4   )               
For the ANDed output  188 , the output is defined as follows for a 70% duty cycle clock:
 
                       DC188   =         (     m   -     2   *   DC3       )     /   2     ⁢   m                 =       (     8   -     2   *   0.7       )     /     (     2   *   8     )                   =     6.6   /   16                 =     41.25   ⁢     %   .                     (   5   )               
For the ANDed output  190 , the output is defined as follows for an 80% duty cycle clock:
 
   
     
       
         
           
             
               
                 
                   
                     
                       DC190 
                       = 
                       
                         
                           
                             ( 
                             
                               m 
                               - 
                               
                                 2 
                                 * 
                                 DC4 
                               
                             
                             ) 
                           
                           / 
                           2 
                         
                         ⁢ 
                         m 
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         
                           ( 
                           
                             8 
                             - 
                             
                               2 
                               * 
                               0.8 
                             
                           
                           ) 
                         
                         / 
                         
                           ( 
                           
                             2 
                             * 
                             8 
                           
                           ) 
                         
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         6.4 
                         / 
                         16 
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         40 
                         ⁢ 
                         
                           % 
                           . 
                         
                       
                     
                   
                 
               
             
             
               
                 ( 
                 6 
                 ) 
               
             
           
         
       
     
   
   Referring to  FIG. 3  of the drawings, the reference numeral  300  generally designates a timing diagram depicting another operation of the duty cycle measurement and adjustment circuit  100  of  FIG. 1 . 
   From the timing, the clocking signal from the clock  102  of  FIG. 1  maintains the same period, but the duty cycle varies. The time-up periods steadily increase over the diagram showing that the duty cycle is increasing. From the clocking signals, the output from the first frequency divider  103  through the fourteenth communication channel  136  is aligned with negative clock transitions of the output of the clock  102  and has a period of 8T, where T is the period of the input clock, with a 50% duty cycle. 
   Between t 0  and t 1 , the Q output  124  of the first D flip-flop  104  transitions to logic high. The Q output  124  of the first D flip-flop  104  is ANDed with the Qbar output  154  of the eighth D flip-flop  118  to produce the ANDed output  176 . At sometime after to, the ANDed output  176  transitions to logic high when the clock transitions to logic low. The ANDed output  176  has a period of 8T and an uptime of 3T plus an interval corresponding to the downtime of the clock. The interval corresponding to the uptime for the clock in  FIG. 3  is 0.5T, yielding a total uptime period of 3.5T. Since the uptime of the ANDed output  176  is 3.5T, then the downtime is 4.5T. 
   In general, the period of the outputs is the mT, where m is the frequency divider ratio. However, the duty cycle of the outputs varies depending on which D flip-flop in the first frequency divider makes the measurement. The duty cycle of the outputs is as follows: 
                       DC   =       {         (       (     m   /   2     )     -   1     )     *   T     +       (     1   -     DC   n       )     *   T       }     /   mT                   =         (     m   -     2   *     DC   n         )     /   2     ⁢   m       ,                 (   7   )               
where n=(m/2)+1, (m/2)+2, . . ., m. Since the frequency divider ratio is 8, then n=5, 6, 7, 8. Therefore, for the ANDed output  176 , the output is defined as follows for a 10% duty cycle clock:
 
   
     
       
         
           
             
               
                 Period 
                 = 
                 
                   mT 
                   = 
                   
                     8 
                     ⁢ 
                     T 
                   
                 
               
             
             
               
                 ( 
                 8 
                 ) 
               
             
           
           
             
               
                 
                   
                     
                       
                         DC 
                         176 
                       
                       = 
                       
                         
                           
                             ( 
                             
                               m 
                               - 
                               
                                 2 
                                 * 
                                 
                                   DC 
                                   5 
                                 
                               
                             
                             ) 
                           
                           / 
                           2 
                         
                         ⁢ 
                         m 
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         
                           ( 
                           
                             8 
                             - 
                             
                               2 
                               * 
                               0.1 
                             
                           
                           ) 
                         
                         / 
                         
                           ( 
                           
                             2 
                             * 
                             8 
                           
                           ) 
                         
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         7.8 
                         / 
                         16 
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         48.75 
                         ⁢ 
                         
                           % 
                           . 
                         
                       
                     
                   
                 
               
             
             
               
                 ( 
                 9 
                 ) 
               
             
           
         
       
     
   
   Each of the respective Qbar outputs of the first frequency divider  103  can be tapped to make similar measurements. In each case, though, the duty cycle of each of the outputs varies depending on the point in the sequence. The transition from logic low to logic high for the second D flip-flop  106 , the third D flip-flop  108 , and the fourth D flip-flop  110  occur between t 1 , and t 2 , between t 2  and t 3 , and between t 3  and t 4 , respectively. For the ANDed output  178 , the output is defined as follows for a 20% duty cycle clock: 
                         DC   178     =         (     m   -     2   *     DC   6         )     /   2     ⁢   m                 =       (     8   -     2   *   0.2       )     /     (     2   *   8     )                   =     7.6   /   16                 =     47.5   ⁢     %   .                     (   10   )               
For the ANDed output  180 , the output is defined as follows for a 30% duty cycle clock:
 
                         DC   180     =         (     m   -     2   *     DC   7         )     /   2     ⁢   m                 =       (     8   -     2   *   0.3       )     /     (     2   *   8     )                   =     7.4   /   16                 =     46.25   ⁢     %   .                     (   11   )               
For the ANDed output  182 , the output is defined as follows for a 40% duty cycle clock:
 
   
     
       
         
           
             
               
                 
                   
                     
                       
                         DC 
                         182 
                       
                       = 
                       
                         ( 
                         
                           
                             
                               ( 
                               
                                 m 
                                 - 
                                 
                                   2 
                                   * 
                                   
                                     DC 
                                     8 
                                   
                                 
                               
                               ) 
                             
                             / 
                             2 
                           
                           ⁢ 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         
                           ( 
                           
                             8 
                             - 
                             
                               2 
                               * 
                               0.4 
                             
                           
                           ) 
                         
                         / 
                         
                           ( 
                           
                             2 
                             * 
                             8 
                           
                           ) 
                         
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         7.2 
                         / 
                         16 
                       
                     
                   
                 
                 
                   
                     
                       = 
                       
                         45 
                         ⁢ 
                         
                           % 
                           . 
                         
                       
                     
                   
                 
               
             
             
               
                 ( 
                 12 
                 ) 
               
             
           
         
       
     
   
   The duty cycle circuit  100  of  FIG. 1  is versatile because of the multiple measurements that can be made; however, a more simplified version of the duty cycle circuit  100  can be employed where the versatility is not desired or needed. Referring to  FIG. 4  of the drawings, the reference numeral  400  generally designates a simplified duty cycle measurement and adjustment circuit. The duty cycle circuit  400  comprises a variable duty cycle clock  402 , a first frequency divider  403 , a second frequency divider  405 , an AND gate  420 , and an oscilloscope  422 . 
   The first frequency divider  403  is a divide-by-8 divider that triggers on a rising clock edge and that is employed divide the output signal of the variable duty cycle clock  402 . The first frequency divider  403  comprises a first D flip-flop  404 , a second D flip-flop  406 , a third D flip-flop  408 , and a fourth D flip-flop  410 . Each of the D flip-flops  404 ,  406 ,  408 , and  410  receive a clocking input through a first communication channel  424 . 
   The D flip-flops  404 ,  406 ,  408 , and  410  are then ordered into a cascaded arrangement to divide the clocking signal. The first D flip-flop  404  outputs a Q signal to the D input of the second D flip-flop  406  through a second communication channel  426 . The second D flip-flop  406  outputs a Q signal to D input of the third D flip-flop  408  through a third communication channel  428 . The third D flip-flop  408  outputs a Q signal to the D input of the fourth D flip-flip  410  through a fourth communication channel  430 . The Qbar output of the fourth D flip-flop  410  is then fed back to the Q input of the first D flip-flop  404  through a fifth communication channel  432 . 
   The second frequency divider  405  is a divide-by-8 divider that triggers on a falling clock edge and that is employed divide the output signal of the variable duty cycle clock  402 . The first frequency divider  405  comprises a fifth D flip-flop  412 , a sixth D flip-flop  414 , a seventh D flip-flop  416 , and an eighth D flip-flop  418 . Each of the D flip-flops  412 ,  414 ,  416 , and  418  receive an inverted clocking input through a sixth communication channel  444 . 
   The D flip-flops  412 ,  414 ,  416 , and  418  are then ordered into a cascaded arrangement to divide the clocking signal. The Q output of the first D flip-flop  404  is output to the D input of the fifth D flip-flop  412  through the second communication channel  426 . The fifth D flip-flop  412  outputs a Q signal to the D input of the sixth D flip-flop  414  through a seventh communication channel  434 . The sixth D flip-flop  414  outputs a Q signal to D input of the seventh D flip-flop  416  through an eighth communication channel  436 . The seventh D flip-flop  416  outputs a Q signal to the D input of the eighth D flip-flip  418  through a ninth communication channel  438 . 
   Based on the divisions, measurements can then be made. The Q output of the first D flip-flop  404  is ANDed with the Qbar output of the eighth D flip-flop  418 . The AND gate  420  then outputs the resultant signal to the scope  422  through a tenth communication channel  442 . The clocking signal, the Q output of the first D flip-flop  404 , and the Qbar output of the eighth D flip-flop  418  are also input into the scope  422  through the first communication channel  424 , the second communication channel  426 , and an eleventh communication channel  440 . By comparing each of the signals with one another, the duty cycle of the clocking signal can be measured in a manner similar to the measurements of the duty cycle measurements of  FIGS. 2 and 3 . 
   Referring to  FIG. 5  of the drawings the reference numeral  500  generally designates a timing diagram that illustrates the operation of the duty cycle circuit  400 . The timing diagram  500  depicts clock output from the first communication channel  424 , the ANDed output from the tenth communication channel  442 , the Q output of the first D flip-flop  404  from the second communication channel  426 , and the Qbar output of eighth D flip-flop  418  from the eleventh communication channel  440 . 
   Between t 0  and t 1 , the operation of the circuit  400  becomes apparent. At to, the Qbar output  440  transitions to logic high. Then, at halfway between t 0  and t 1 , the Q output  426  transitions to logic high. At the halfway point between t 0  and t 1 , the output  442  of the AND gate  420  transitions to logic high. The output  442  of the AND gate  420  transitions back to logic low with the transition of the Qbar output  440  at t 4 . This pattern is then repeated periodically with the transitions of the output. 
   The duty cycle of the output of the AND gate  442  can then be determined. Specifically, the output of the AND gate  442  is defined as follows:
 
Period =mT=8T  (13)
 
DC=(3T+(1−DC)T)/8T=(4−DC)/8=3.5/8=7/16.  (14)
 
Therefore, the circuit  400  allows for precise measurement of an output signal&#39;s duty cycle.
 
   The real beauty of the duty cycle circuit  100  of  FIGS. 1A and 1B  and the duty cycle circuit  400  of  FIG. 4  is that an output duty cycle can be precisely known and adjusted. The circuits  100  and  400  allow for on-chip placements of efficient circuits that can measure and adjust for clocking signals to achieve the desired duty cycles. Hence, more precision within microprocessors as a result of the more precise control of clocking signals will reduce the number of potential errors and increase the overall efficiency of microprocessors, as well as other clocked semiconductor devices. 
   It is understood that the present invention can take many forms and embodiments. Accordingly, several variations may be made in the foregoing without departing from the spirit or the scope of the invention. The capabilities outlined herein allow for the possibility of a variety of programming models. This disclosure should not be read as preferring any particular programming model, but is instead directed to the underlying mechanisms on which these programming models can be built. 
   Having thus described the present invention by reference to certain of its preferred embodiments, it is noted that the embodiments disclosed are illustrative rather than limiting in nature and that a wide range of variations, modifications, changes, and substitutions are contemplated in the foregoing disclosure and, in some instances, some features of the present invention may be employed without a corresponding use of the other features. Many such variations and modifications may be considered desirable by those skilled in the art based upon a review of the foregoing description of preferred embodiments. Accordingly, it is appropriate that the appended claims be construed broadly and in a manner consistent with the scope of the invention.