Abstract:
An information handling system including a divider circuit is disclosed that divides an input clock signal by a non integer value to generate an output clock signal. The resultant output clock signal exhibits a 50/50 duty cycle in one embodiment. The disclosed divider methodology permits the design of advanced circuit functions, such as double data rate memory operations, without the need for additional clock signal sources.

Description:
TECHNICAL FIELD OF THE INVENTION 
   The disclosures herein relate generally to divider circuits, and more particularly, to divider circuits that divide digital signals by non-integer divisors in digital systems. 
   BACKGROUND 
   Digital clock signals play important roles in information handling systems (IHSs) such as desktop, laptop, notebook, personal digital assistant (PDA), server, mainframe, minicomputer and communication systems, and other systems that employ digital electronics. For example, a microprocessor in an IHS employs a clock signal as a time base or reference. In actual practice, IHSs typically employ multiple clock signals that all relate to a common system clock signal, namely a master clock signal. 
   A practical IHS may include hardware that generates multiple clock signals from a common system clock or master clock signal. The master clock signal acts as the primary timing reference for the IHS. The other clock signals in the IHS relate to the master clock signal in timing, frequency and pulse width. Moreover, the rising and falling edges of the other clock signals may relate to the rising and falling edges of the master clock signal to provide the proper timing of operations within the IHS. In the simplest case, the other clock signals relate to the master clock signal by an integer multiple. For example, the other clock signals may exhibit a frequency twice or three times that of the master clock signal. 
   It is also possible for a clock circuit to divide the master clock signal by an integer divisor to produce a clock signal exhibiting a lower frequency than the master clock signal. For example, a divide by 2 clock circuit divides the master clock signal by 2 to generate a clock signal that exhibits a frequency ½ the system clock frequency. Typically, the resultant clock signal exhibits a 50/50 duty cycle. In other words, one half cycle of the clock signal exhibits a logic high while the next half cycle of the clock signal exhibits a logic low. Divide by 2 clock circuits with 50/50 duty cycles are common. Clock circuits with 50/50 duty cycles and employing integer divisors other than 2, for example divisors of 3, 4, or 5, are also common. 
   A less common clock circuit is the “divide by X.5” clock circuit in which clock circuitry divides a master clock signal or system clock signal by a divisor, X.5, wherein X describes an integer greater than or equal to 2. For example, clock circuits may employ divisors of 2.5, 3.5, 4.5, etc. to divide the master clock signal to produce a resultant divided down clock signal. A divide by X.5 clock circuit is useful in complex integrated circuits that perform memory addressing, memory data management and a wide variety of other integrated circuit functions as well. Divide by X.5 clock circuits are known that exhibit duty cycles other than 50/50. However, some applications require 50-50 duty cycle clock signals. For example, double data rate memory systems require 50-50 duty cycle clock signals because these systems launch and capture data on both the rising and falling edges of a clock signal. Timing requirements in many high-speed applications mandate a clock signal that maintains an ideal 50-50 duty cycle. 
   What is needed is a method and apparatus that divides a clock signal by a non-integer divisor to provide an output signal exhibiting a 50/50 duty cycle. 
   SUMMARY 
   Accordingly, in one embodiment, a method of processing a signal by a divider circuit is disclosed. The method includes receiving, by a divider input of the divider circuit, a clock input signal including a plurality of pulses exhibiting a frequency CLKIN FREQ. The method also includes generating, by divider logic coupled to the divider input, a clock output signal at a divider output of the divider circuit, the clock output signal including a plurality of pulses exhibiting a clock frequency CLKOUT FREQ, the frequency CLKOUT FREQ being equal to the frequency CLKIN FREQ divided by X.5, wherein X is an integer at least equal to 2. The step of generating a clock output signal also includes generating, by a variable duty cycle pulse generator, a pulse signal A exhibiting a frequency A FREQ according to the relationship A FREQ=CLKIN FREQ/(2×(X.5)), wherein pulse signal A includes a plurality of pulses having rising and falling edges. The step of generating a clock output signal further includes generating, by time delay logic, a time delayed copy of pulse signal A which is designated pulse signal B, wherein pulse signal B includes a plurality of pulses having rising and falling edges. The step of generating a clock output signal still further includes generating, by phase delay logic, a phase delayed copy of signal A and a phase delayed copy of signal B, the phased delayed copies of signal A and signal B being delayed in phase by a predetermined phase amount. The step of generating a clock output signal further includes generating, by output logic coupled to the divider output, the clock output signal including a plurality of even and odd pulses, wherein the even and odd pulses include rising edges that are generated in response to rising edges of pulse signal A and pulse signal B, respectively, and wherein the even and odd pulses include falling edges that are generated in response to falling edges of the phase delayed copies of pulse signal A and pulse signal B, respectively. 
   In another embodiment, a divider circuit is disclosed that includes a divider input adapted to receive a clock input signal including a plurality of pulses exhibiting a frequency CLKIN FREQ. The divider circuit also includes a divider output at which a clock output signal including a plurality of pulses exhibiting a clock frequency CLKOUT FREQ is generated, the frequency CLKOUT FREQ being equal to the frequency CLKIN FREQ divided by X.5, wherein X is an integer at least equal to 2. The divider circuit further includes divider logic, coupled between the divider input and the divider output. The divider logic forms the clock output signal by generating, with a variable duty cycle pulse generator, a pulse signal A exhibiting a frequency A FREQ according to the relationship A FREQ=CLKIN FREQ/(2×(X.5)), wherein pulse signal A includes a plurality of pulses having rising and falling edges. The divider logic further forms the clock output signal by generating, with time delay logic, a time delayed copy of pulse signal A which is designated pulse signal B, wherein pulse signal B includes a plurality of pulses having rising and falling edges. The divider logic still further forms the clock output signal by generating, with phase delay logic, a phase delayed copy of signal A and a phase delayed copy of signal B, the phased delayed copies of signal A and signal B being delayed in phase by a predetermined phase amount. The divider logic still further forms the clock output signal by generating, with output logic coupled to the divider output, the clock output signal including a plurality of even and odd pulses, wherein the even and odd pulses include rising edges that are generated in response to rising edges of pulse signal A and pulse signal B, respectively, and wherein the even and odd pulses include falling edges that are generated in response to falling edges of the phase delayed copies of pulse signal A and pulse signal B, respectively. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The appended drawings illustrate only exemplary embodiments of the invention and therefore do not limit its scope because the inventive concepts lend themselves to other equally effective embodiments. 
       FIG. 1  shows a block diagram of the disclosed divider circuit. 
       FIG. 2  shows a state machine than may be employed as a variable duty pulse generator in the divider circuit of  FIG. 1 . 
       FIG. 3  shows a block diagram of an array of flip flops that may be employed as stage delay logic in the divider circuit of  FIG. 1 . 
       FIG. 4  is a timing diagram depicting selected signals in an embodiment of the disclosed divider circuit wherein the divisor is 3.5. 
       FIG. 5  is a timing diagram depicting selected signals in an embodiment of the disclosed divider circuit wherein the divisor is 4.5. 
       FIG. 6  is a process flow diagram that depicts process flow in one embodiment of the disclosed divider circuit. 
       FIG. 7  shows an information handling system including the disclosed divider circuit. 
   

   DETAILED DESCRIPTION 
     FIG. 1  shows a clock circuit  100  that receives a master or reference clock signal, CLKIN, at input  100 A. In response to the CLKIN reference clock signal, clock circuit  100  divides the CLKIN signal frequency by the divisor X.5 to generate a divided-down clock output signal, CLKOUT, at output  100 B. Clock circuit  100  includes a variable duty-cycle pulse generator  200  having an input coupled to input  100 A to receive the reference clock CLKIN. The input of variable duty-cycle pulse generator  200  also couples to a reference input, REF, of a delay logic loop  130  and an input of a flip flop stage delay logic circuit  300 . In more detail, variable duty-cycle pulse generator  200  generates a clock signal A at its output. The output of generator  200  couples to the input of a flip flop stage delay logic circuit  300 , to the D input of a rising edge clock triggered flip flop  170  and to one of four inputs  190 A of an OR gate  190 . OR gate  190  generates the output clock signal CLKOUT as per Equation 1 below:
 CLKOUT FREQ=CLKIN FREQ/ X. 5  EQUATION 1         wherein X=an integer greater than or equal to 2       
   As mentioned above, variable duty-cycle pulse generator  200  generates a clock signal A at its output. Variable duty-cycle pulse generator  200  reduces the frequency of the reference clock, CLKIN FREQ, in accordance with the timing relationship in Equation 2 below wherein A FREQ represents the frequency of the resultant output clock signal A.
 
A FREQ=CLKIN FREQ/(2×( X. 5))  EQUATION 2
 
   Variable duty-cycle pulse generator  200  divides the frequency of the reference clock, CLKIN FREQ by (2 times X.5), to enable divider circuit  100  to generate an output clock signal, CLKOUT, exhibiting a frequency equal to CLKIN FREQ divided by X.5, wherein X equals any integer equal to or greater than 2. In one example wherein X equals the integer 3, clock signal A exhibits a frequency, A FREQ, defined as CLKIN FREQ divided by (2 times X.5, namely 2 times 3.5, or 7). In other words, signal A exhibits a frequency, A FREQ, divided by 7. In this example clock signal A will repeat every 7 occurrences of the rising edge of reference clock CLKIN. Stated alternatively, clock signal A exhibits a frequency 7 times slower than the frequency of the reference clock, CLKIN FREQ. Clock signal A, as described in more detail in the timing diagrams discussed below, exhibits a rising edge timing relationship matching that of the rising edges of reference signal CLKIN. 
   Flip flop stage delay logic circuit  300  includes two inputs to which circuit  100  provides the reference clock signal CLKIN and clock signal A, respectively. In response, flip flop stage delay logic circuit  300  generates a clock signal B at its output. The frequency of clock signal B, namely B FREQ, equals the frequency of clock signal A, namely A FREQ. Clock signal B represents a delayed copy of signal A referenced to the falling edge of system clock input CLKIN. The output of flip flop stage delay logic circuit  300  couples to the D input of a falling clock edge triggered flip flop  180  and to input  190 C of OR gate  190 . Clock signal B exhibits the same pulse width, namely the period of time that signal B exhibits a high state, as clock signal A. Moreover, flip flop stage delay logic circuit  300  delays clock signal B with respect to clock signal A by the number of flip flops which form flip flop stage delay logic  300 . Flip flop stage delay logic circuit  300  is described in more detail below. 
   Divider circuit  100  supplies the reference CLKIN signal to the reference input, REF, of a delay logic loop  130 . Delay logic loop  130  generates delayed copies of the CLKIN reference clock signal. Delay logic loop  130  generates a copy of the CLKIN signal delayed by 270 degrees at the output designated 270°, a copy of the CLKIN signal delayed by 90 degrees at the output designated 90°, and finally a copy of the CLKIN signal delayed by 0° at the output designated 0°. Thus, 270°, 90° and 0° represent the respective timing offsets imposed on the CLKIN signal by delay logic loop  130 . More particularly, delay logic loop  130  generates the delay signals 270°, 90°, and 0° as identical waveforms in terms of pulse width and frequency, however exhibiting rising and falling edge orientations with a delay or right-shift based on the frequency of reference clock CLKIN. The period in time of a repetitive waveform equals the reciprocal of that waveform&#39;s relative frequency. The period of reference clock CLKIN is the time between one rising edge of the reference clock CLKIN and the next rising edge of reference clock CLKIN. The 0° output of delay logic loop  130  couples to one of four inputs of an AND/OR logic gate  140 , namely to input  140 A. AND/OR gate  140  compensates or matches the delay exhibited by the 270° and 90° outputs of delay logic loop  130 . Delay logic loop  130  receives a delayed response from its 0° output coupled to AND/OR gate  140  and received at its feedback input FDBK. Internally, delay logic loop  130  interprets the delay of this signal as required compensation for all other output signals, in this case namely the 90° output and 270° output signals. AND/OR gate  140  includes four inputs  140 A,  140 B,  140 C and  140 D. As seen in  FIG. 1 , input  140 B of AND/OR logic gate  140  couples or ties to a positive voltage supply rail, +V, so that input  140 B receives a logic high. The remaining inputs  140 C and  140 D tie to ground to receive a logic low. AND/OR logic gate  140  generates a buffered or direct throughput function providing a signal delay through the AND/OR function. The output of AND/OR logic gate  140  couples to a feedback input, FDBK, of delay logic loop  130  to provide a compensation delay for all output signals referenced to the 0° signal output of delay logic loop  130  through AND/OR logic gate  140 . 
   Clock divider circuit  100  receives an input signal X_EVEN/ODD at input  100 C. Input  100 C couples to the input of an inverter  150  and to input  160 D of an AND/OR logic gate  160 . The inverted output of inverter  150  couples to input  160 A of AND/OR gate  160 . The output of inverter  150  represents the inverted state of clock divider circuit  100  input signal X_EVEN/ODD. Further, the X_EVEN/ODD input signal describes the even or odd state of the value of X chosen for the divide by X.5 function of Equation 1. The X_EVEN/ODD signal exhibits a logic high for even number values of X and a logic low for odd values of X. The 270° output of delay logic loop  130  couples to input  160 B of AND/OR gate  160 . The 90° output of delay logic loop  130  couples to input  160 C of AND/OR gate  160 . 
   As described above, clock divider circuit  100  receives input signal X_EVEN/ODD at input  100 C. The X_EVEN/ODD signal flows to AND/OR gate  160  at input  160 A and input  160 D as shown. The 270° and 90° outputs of delay logic loop  130  supply delayed input signals to AND/OR logic gate  160  inputs  160 B and  160 C, respectively. AND/OR logic gate  160  corresponds to a gate delay for the output signals of delay logic loop  130 . As described above, AND/OR gate  140  provides the feedback loop for delay logic loop circuit  130 . Further, delay logic loop  130  compensates for the delay associated with AND/OR gate  160  in the output path by using gate circuitry topologically identical to AND/OR gate  160  as represented by AND/OR gate  140  coupled to the feedback input FDBK of delay logic loop  130 . The feedback input FDBK of delay logic loop  130  effectively eliminates the gate delay logic of AND/OR gate  160  from the output signals of delay logic loop  130  by use of the feedback circuitry associated with delay logic loop devices. 
   Signal X_EVEN/ODD exhibits a logic high at input  100 C of clock divider circuit  100  for applications wherein the divide by X.5 circuit  100  of  FIG. 1  employs an integer for X equal to an even number 2, 4, 6, etc. In contrast, signal X_EVEN/ODD supplies a logic low signal to input  100 C for applications of divider circuit  100  wherein the divisor X.5 as represented by Equation 1, employs an odd integer X such as 3, 5, 7, etc. (any odd integer greater than 2). In one embodiment now discussed below, the signal X_EVEN/ODD corresponds to an even integer for X. Under these conditions where X corresponds to an even integer, input signal X_EVEN/ODD exhibits a high state at clock divider circuit  100  input  100 C. Boolean logic shows that logic gate  160  passes the 90° output signal of delay logic loop  130  at input  160 C through to the output of logic gate  160 . The signal CLKIN_DEL represents the reference clock CLKIN shifted forward by 90°. 
   In another embodiment, the signal X_EVEN/ODD input  100 C exhibits a low state, such as for a divide by X.5 value wherein X equals an odd numbered integer of 3 or greater. In this scenario, AND/OR logic gate  160  passes the 270° output signal of delay logic loop  130  through to the output of gate  160  thereby generating the CLKIN_DEL signal. The CLKIN_DEL signal represents a reference system clock CLKIN signal delayed or shifted forward by 270 degrees in this example. The selection of either the 90° output or the 270° output of delay logic loop  130  by the X_EVEN/ODD signal determines the proper timing relationships to generate future waveforms in divider circuit  100  as discussed in more detail below. The output of AND/OR gate  160  couples to the positive edge triggered clock input of flip flop  170  and the negative edge triggered clock input of flip flop  180 . 
   Rising edge triggered flip flop  170 , triggered by the rising edge of clock signal CLKIN_DEL, generates a clock signal A_DEL. The output of flip flop  170  couples to input  190 B of OR-gate  190 . Signal A_DEL represents a delayed copy of clock signal A by one rising edge of the reference system clock CLKIN. The falling edge of clock signal CLKIN_DEL triggers falling edge triggered flip flop  180 . The output of flip flop  180  generates clock signal B_DEL. Clock signal B_DEL represents a delayed version of clock signal B. The output of flip flop  180  couples to the remaining input  190 D of OR-gate  190 . OR gate  190  generates the output clock signal CLKOUT of divider circuit  100  at CLKOUT output  100 B. 
     FIG. 2  shows a state machine describing in more detail the state conditions of variable duty-cycle pulse generator  200  of  FIG. 1 . The input clock signal CLKIN at input  100 A provides input to variable duty-cycle pulse generator  200 . Further, variable duty-cycle pulse generator  200  generates an output clock signal A at its output. A state machine block  210  describes the active state conditions for variable duty-cycle pulse generator  200 . An active state corresponds to a digital high condition for clock signal A. Block  210  describes the initialized state of variable duty-cycle pulse generator  200 . Variable X corresponds to an integer value of 2 or greater selected to represent the divisor value in Equation 1 above. The state machine block  210  then further describes the function wherein N, as described in Equation 3 below, equals the mathematical floor of X/2 or the resultant of X/2 reduced to the nearest integer value. This resultant represents the total number of active states or periods where clock signal A exhibits an active high state relative to input reference system clock CLKIN.
   N=└X/ 2┘  EQUATION 3         Mathematical Floor Function of X/2       
   When divider circuit  100  employs a value of 3 as an example value of X, then N equates to a resultant integer value of 1. More particularly, as per Equation 3, X/2 or 3/2 produces a result of 1.5 that when reduced or rounded down to the nearest integer yields a value of 1 for N. As described, the resultant of N=1 corresponds to clock signal A exhibiting a high state for 1 clock cycle input of reference system clock signal CLKIN. 
   In another example, wherein X corresponds to an integer value equal to 4, Equation 3 yields a value of N=2. Again, clock divider circuit  100  divides the frequency of reference system clock CLKIN by X.5, namely 4.5 in this example, per Equation 1. The result of state machine block  210  corresponds to N equal to the mathematical floor of X/2. The final resultant of X/2 (in this example equating to integer value 2) describes the number of active states per block  210  for clock signal A. Further, the resultant value of 2 represents 2 periods that clock signal A exhibits a high state relative to the clock cycle of reference system clock input CLKIN. As this state satisfies, state machine of  FIG. 2  enters the next state as defined by a state machine block  220 . 
   State machine block  220  describes the conditions required to generate an inactive state for clock signal A. The inactive state condition of block  220  further describe the conditions such that clock signal A transitions and remains in a digital low or off state. In state machine block  220 , value M equates to the relationship given in Equation 4 below:
 
 M= 2( X. 5)−└X/2┘  EQUATION 4
 
wherein, M represents 2 times X.5 subtracted by the mathematical floor function of X divided by 2. Further, M represents the number of periods associated with input clock signal CLKIN for the case where clock signal A exhibits a low state.
 
   In an example again wherein X equates to integer value 3, the resultant inactive period corresponds to 2 times 3.5 minus 3/2 rounded to the next lowest integer. Further, M equates to integer value 6, per Equation 4 above, namely 7 minus 1. The resultant value of M, which equates to 6, represents 6 clock input cycles of reference system clock signal CLKIN such that clock signal A remains in a low state. A complete cycle combines the results of the two block states of state machine in  FIG. 2 . More particularly, clock signal A transitions high for 1 input cycle of reference system clock CLKIN and low for 6 input cycle pulses of reference system clock CLKIN. Again, this represents the example where X equates to an integer value equal to 3. The state machine further describes that this sequence resets and that the identical function, with clock signal A transitioning active high as per block  210 , initiates a new cycle which repeats indefinitely, providing input reference signal clock CLKIN remains active. 
   The value of X corresponds to integer 4 in the second of two examples. Block  220  describes the resultant inactive period for clock signal A. Block  220  describes, per Equation 4, a scenario wherein M equal to 2 times 4.5 minus a mathematical floor of 4/2. The resultant for M is 9 minus 2, or 7. The value of M corresponds to 7 clock input cycles of reference system clock signal CLKIN wherein clock signal A transitions and remains in a low state. Combining the two states of  FIG. 2 , clock signal A can be defined as high for 2 input cycles of reference system clock CLKIN and low for 7 input pulses of CLKIN in this example. The state machine, per block  210 , further describes that this sequence resets and repeats the identical function wherein clock signal A transitions to active high and repeats indefinitely. Timing diagrams will further represent this relationship below. 
     FIG. 3  shows one example of multiple flip flops coupled in series or cascaded to form flip flop stage delay logic circuit  300  as seen in  FIG. 1 . Flip flop stage delay logic circuit  300  receives the reference clock signal, A, at input  300 A and the master or reference clock signal, CLKIN, at input  300 B. Input  300 A, couples to the D input of a falling edge triggered FLIP FLOP  1 , namely flip flop  310 , to receive the reference clock signal A. Further, the clock input of FLIP FLOP  1  couples to divider circuit input  300 B to provide the reference system clock signal CLKIN as the falling edge triggering clock to FLIP FLOP  1 . Input  300 B, CLKIN, also couples to the clock input of FLIP FLOP  2 , namely flip flop  320 , and further couples to the clock input of a FLIP FLOP  3 :K, namely flip flop  330 . FLIP FLOP  3 :K represents a third or any number up to a count K of flips flops necessary to satisfy the equation for K as described in Equation 5:
   K=┌X. 5┐  EQUATION 5         Mathematical Ceiling Function of X.5
 
wherein, K (an integer by definition) represents the total numerical count of stage delay flip flops in flip flop stage delay logic  300  of  FIG. 1 . Further, K represents the total flip flop count to assure the relationship of X as described above in Equation 1. X, in the divisor of Equation 5, corresponds to the divisor variable X in Equation 1. Equation 1 determines the frequency of output clock signal CLKOUT as the frequency of reference system clock CLKIN divided by the divisor X.5.
       
   Continuing with  FIG. 3 , the output of FLIP FLOP  1  couples to the D input of FLIP FLOP  2 . The output of FLIP FLOP  2  couples to the D input of FLIP FLOP  3 :K wherein represents the number of flip flops  3  through K as defined by Equation 5. The last flip flop K of the cascade, in this representation FLIP FLOP  3 :K, generates reference clock signal B as output clock signal  300 C as seen in  FIG. 3 . 
   In one example X corresponds to an integer value of 2. K further defines as the mathematical ceiling of 2.5 or in this example a resultant value of 3. By definition per Equation 5, the total number of flip flops required to cascade in flip flop stage delay logic  300  per  FIG. 1  equates to 3. Further, in another example X corresponding to an integer value of 3. The total flip flop count in flip flop stage delay logic circuit  300  equates per Equation 5 to a value of 4. For X equal to 4, flip flop stage delay logic circuit  300  corresponds to 5 total flip flops and so on. 
     FIG. 4  shows a timing diagram of amplitude change over time of the CLKIN, CLKIN_DEL, A, B, A_DEL, B_DEL and CLKOUT signals.  FIG. 4  depicts operation of divider circuit  100  wherein X corresponds to an integer value of 3 and the divisor of Equation 1 corresponds to 3.5. The timing clock signals of  FIG. 4  reference from the system clock CLKIN signal. Reference system clock CLKIN corresponds to an input digital signal with a duty cycle or active high and inactive low state relationship of 50/50. A 50/50 duty cycle corresponds to a common high and a common low period pulse width. Divider circuit  100  generates all clock and reference timing signals from the reference system clock signal, namely the CLKIN signal. Stated alternatively, the timing diagram examples of  FIG. 4  result when divider circuit  100  employs a value of 3 for X wherein X describes the divisor variable of X.5 in Equation 1 above. The relationship between the reference system clock signal CLKIN and the output clock signal CLKOUT can be further described as CLKOUT FREQ=CLKIN FREQ/X.5 as per Equation 1 above. 
   Clock signal CLKIN_DEL duplicates the waveform at reference system clock input CLKIN  100 A but shifts that waveform forward in time. More particularly, CLKIN_DEL represents a clock signal of identical frequency and pulse width to reference system clock CLKIN signal shifted in timeframe 270° to the right, namely forward in time. Delay logic loop  130  provides the 270° timing shift in this example. The 270° shift corresponds to 270 of 360 total degrees or a delayed shift right in timing of ¾ of a standard clock cycle. The time between one rising edge of the reference system clock signal CLKIN to the next rising edge of reference system clock signal CLKIN corresponds to a standard clock cycle. In this example, X represents the value 3 and divider circuit  100  interprets this value of X as an odd number. To facilitate this interpretation, an external circuit (not shown) supplies the signal X_EVEN/ODD as a logic low signal to input  100 C. In other words, since X corresponds to an odd number in this example, the X_EVEN/ODD signal at  100 C in  FIG. 1 , exhibits a logic low state. When input  100 C exhibits a logic low state, this allows the 270° output signal of delay logic loop  130  to pass through AND/OR logic gate  160 . AND/OR logic gate  160  generates a clock signal CLKIN_DEL shifted to the right 270° degrees relative to one full cycle, or 360 degrees of the reference system clock signal CLKIN. AND/OR logic gate  140 , by providing a compensation delay feedback coupled to feedback input FDBK of delay logic loop  130 , matches the output delay of AND/OR logic gate  160 . AND/OR logic gate  160  generates clock signal CLKIN_DEL wherein, the relationship between clock signal CLKIN_DEL and reference system clock signal CLKIN can be assured to be a true 270 degrees and not affected by circuit or logic gate delays other than delay logic loop  130 . 
   Clock signal A transitions to an active state, or high, with the initial rising edge of the reference system clock signal CLKIN. As defined by block  210  of the state machine in  FIG. 2 , clock signal A remains high for a period described by Equation 3 above. Further, Equation 3 describes the mathematical floor function of X/2, or in this example 3/2 rounded down to 1. Additionally, Equation 3 defines the reference clock signal A as exhibiting a high state for 1 full cycle of the reference system clock signal CLKIN. Following the high state for one cycle, clock signal A transitions to a low state. Clock signal A will remain low as defined by state machine logic in  FIG. 2  for a period equal to the resultant of value M per Equation 4 above. M evaluates to 6, or 2 times X.5 minus the resultant of the floor of X/2. More particularly, clock signal A remains inactive in a low state for 6 cycles of the reference system clock signal CLKIN as seen in timing diagram of  FIG. 4 . Additionally, the frequency of clock signal A can be defined by the relationship expressed by Equation 2 above wherein the frequency of clock signal CLKIN is divided by 2 times X.5. In this example wherein X equals 3, Equation 2 equates to an integer value of 2 times 3.5 or 7. As seen in the timing diagram of  FIG. 4 , signal A exhibits a frequency 7 times slower than that of the reference input clock signal CLKIN. As per the state machine logic of  FIG. 2 , the waveform for clock signal A will repeat provided the input reference system clock signal CLKIN remains active. 
   Clock signal B represents a copy of clock signal A as delayed or shifted forward in time, namely to the right in the timing diagram of  FIG. 4 , by flip flop stage delay logic  300 . As shown in  FIG. 3 , flip flop stage delay logic  300  employs the number of cascaded flip flops indicated by Equation 5 above. In the example wherein X=3, K equates to the mathematical ceiling function of X.5. Thus X.5 corresponds to 3.5 that when rounded up yields the resultant value for K of 4. The resultant value of K corresponds to a total flip flop count of flip flop stage delay logic  300 , namely 4 flip flops. The falling edge of the reference system clock signal CLKIN triggers flip flop delay logic  300 . When so triggered, this action clocks the clock signal A state through the flip flop cascade of flip flop delay logic  300 . Further, clock signal B transitions high after the fourth occurrence of the clock input signal CLKIN transitioning to a low state. More particularly, clock signal B transitions high when initiated by the transition of signal A to a high state and the occurrence of clock input signal CLKIN triggering. Clock signal B then transitions to a low state after the fourth falling edge occurrence of the reference system clock signal CLKIN and after clock signal A transitions low. The resultant right shifted copy of clock signal A is depicted as clock signal B in the timing diagram of  FIG. 4 . In this example signal B exhibits a shift of X.5, or 3.5 times the period of the reference system clock signal CLKIN to the right of reference clock signal A. 
   Rising edge clock triggered flip flop  170  generates the clock signal A_DEL as its output signal. The rising edge of clock signal CLKIN_DEL triggers flip flop  170  with the input of clock signal A data. Clock signal A_DEL, the resultant output of flip flop  170 , provides a delayed copy of clock signal A. Clock signal A_DEL is identical to reference clock signal A in pulse width but delayed by the next occurrence of the rising edge of clock signal CLKIN_DEL. Stated alternatively, when clock signal A exhibits a high state, signal A_DEL will transition high following the preceding occurrence of the rising edge of clock signal CLKIN_DEL. Further, as clock signal A transitions low, signal A_DEL transitions low following the next rising edge of CLKIN_DEL signal. Clock signal A_DEL remains low until the next transition of clock signal A to a high state initiates the cycle again. This cycle repeats indefinitely provided reference system clock CLKIN remains active. Clock signal B_DEL follows a similar relationship with respect to CLKIN_DEL as clock signal A_DEL does with respect to clock signal A. More particularly, each occurrence of the falling edge of CLKIN_DEL triggers or clocks flip flop  180  with data input clock signal B. This action generates a duplicate pulse width waveform B_DEL which is effectively clock signal B as delayed by the falling edge of clock signal CLKIN_DEL. Clock signal B_DEL appears at the output of flip flop  180  in  FIG. 1 . 
   A combination of signals presented to four inputs of OR-gate  190 , namely clock signal A, clock signal B, clock signal A_DEL and clock signal B_DEL result in the generation of the output clock signal CLKOUT  100 B as seen in  FIG. 1  and the timing diagram of  FIG. 4 . Note that when any one of the 4 inputs of OR gate  190  exhibits a logic high, the output of OR gate  190  also exhibits a logic high. Thus, when any one of the A, B, A_DEL or B_DEL signals exhibits a logic high, the CLKOUT signal at the output of OR gate  190  exhibits a logic high. Divider circuit  100  employs this logical OR Boolean relationship to construct the CLKOUT signal from the four signals, A, B, A_DEL and B_DEL. 
   More specifically, again referring to  FIG. 4 , the rising edge of clock signal A at  401  generates the first rising edge of output clock signal CLKOUT at  401 ′. Clock signal A_DEL overlaps clock signal A to prevent any potential for OR-gate  190  to lose input continuity and exhibit a loss of signal. The falling edge of A_DEL at  402  represents the first falling edge of the output clock signal CLKOUT at  402 ′. The next occurrence of clock signal B transitioning high at  403  generates the second rising edge of output clock signal CLKOUT at  403 ′. The relationship timing between clock signal A and clock signal B exhibits the divide by X.5 condition as described by Equation 1. The relationship between clock signal A and clock signal B represents one cycle of the divided clock frequency CLKOUT as described in  FIG. 1  and Equation 1 above. The overlap between clock signal B and clock signal B_DEL again assures no intermediate falling edge data presented to OR-gate  190 . Further, the overlap between clock signal B and clock signal B_DEL assures that the falling edge of clock signal B_DEL at  404  clearly defines the falling edge  404 ′ of the second output clock signal CLKOUT pulse. While the above description discussed the generation of the first two clock cycles of the CLKOUT signal in the timing diagram of  FIG. 4 , the process described may repeat indefinitely until interrupted by the discontinuation of the input reference system clock signal CLKIN. Further, the timing relationships between the clock signal A, the clock signal B, the clock signal A_DEL and the clock signal B_DEL results in an output clock signal CLKOUT that exhibits an ideal 50/50 duty cycle or a duty cycle approximately equal to the ideal 50% duty cycle. As seen in  FIG. 4 , the output clock signal CLKOUT exhibits a high state for the duration of the period between the rising edge of either clock signal A transitioning high or clock signal B transitioning high. Moreover, the output clock signal CLKOUT transitions to a low state when either clock signal A_DEL transitions low or clock signal B_DEL transitions low. 
     FIG. 5  shows another timing diagram for waveforms of clock divider circuit  100  when divider circuit  100  employs a divider of 4.5 to generate the output clock signal CLKOUT as per Equation 1 above. Reference system clock signal CLKIN describes a digital signal that exhibits a duty cycle of 50/50 or 50%. In other words, the time during which the CLKIN signal exhibits a logic high equals the time during which the CLKIN signal exhibits a logic low. Divider circuit  100  generates all clock and reference timing signals depicted in  FIG. 5  from the reference system clock signal CLKIN. This example employs an integer value of 4 for X, the divisor variable of X.5 in Equation 1 above. 
   Divider circuit  100  generates the clock signal CLKIN_DEL as a waveform nearly identical to reference input clock signal CLKIN in terms of frequency and pulse width. However, divider circuit  100  shifts or delays the clock signal CLKIN_DEL by 90° in comparison with the reference system clock signal CLKIN. More particularly, delay logic loop  130  shifts the clock signal CLKIN_DEL to the right as seen in the timing diagram of  FIG. 5 . In this example wherein X equals 4, divider circuit  100  interprets X as an even variable, namely an even integer. To facilitate this interpretation, an external circuit (not shown) supplies the signal X_EVEN/ODD as a logic high signal to input  100 C. The logic high X_EVEN/ODD signal passes through inverter  150  which inverts the signal to a logic low to enable the 90° phase shifted output signal of delay logic loop  130  to pass through AND/OR gate  160 , while preventing the 270° phase shifted output signal from reaching the output of AND/OR gate  160 . Under these conditions, AND/OR logic gate  160  generates a delayed clock signal CLKIN_DEL as seen in diagram of  FIG. 5  that exhibits a shift in time to the right of 90° or ¼ of the period of the reference system clock signal CLKIN. As noted above, AND/OR gate  140  is identical to AND/OR gate  160 . Delay logic loop output  130  compensates for delay caused by AND/OR gate  160  via a feedback mechanism inside delay logic loop circuit  130  wherein AND/OR gate  140  effectively informs delay logic loop  130  of the delay caused by AND/OR gate  160 . More particularly, the 0° output of delay logic loop  130  fed through identical logic AND/OR gate  140  as seen by AND/OR gate  160  provides a timing relationship to compensate or eliminate the delay otherwise incurred by the output signals transitioning through gate logic as seen by AND/OR gate  160 . The relationship between the clock signal CLKIN_DEL and the reference system clock signal CLKIN assures a true 90° shift not affected by any additional circuit or logic gate delays. 
   Clock signal A transitions active high at  501  with the initial rising edge of reference system clock CLKIN. As defined by state machine block  210  in  FIG. 2 , clock signal A remains high for a period described by Equation 3 above. The active period of block  210  is further defined mathematically as the floor function of X/2 or in this example, namely 4/2 or 2. This resultant value of 2 corresponds to a high state for 2 full clock cycles of the reference system clock signal CLKIN. Following the high state for 2 cycles, clock signal A transitions low and remains in that state as defined by state machine logic in  FIG. 2 . Block  220  in  FIG. 2  defines the inactive state period equal to the resultant of Equation 4 above, or 2 times 4.5 minus the mathematical floor function of 4/2. Equation 4 evaluates to 9minus 2, or 7 cycles of the reference system clock signal CLKIN wherein signal A transitions to and remains in a low state as seen in timing diagram of  FIG. 5 . Additionally, the frequency of clock signal A corresponds to the relationship expressed by Equation 2 above, wherein the frequency of clock signal CLKIN divides by the resultant of 2 times X.5 or 2 times 4.5. In this example, Equation 2 yields a value of 9 for A FREQ. As seen in timing diagram  FIG. 5 , the frequency of signal A exhibits a frequency 9 times slower than that of the reference input clock signal CLKIN. Moreover, as per the state machine logic in  FIG. 2 , the waveform of clock signal A will repeat provided the input reference system clock signal CLKIN remains active. 
   Clock signal B effectively corresponds to a copy of clock signal A shifted or delayed in time by flip flop stage delay logic  300 . As defined in  FIG. 3 , flip flop stage delay logic  300  represents the number of flip flops specified by Equation 5 above. In this example, K equals the mathematical ceiling function of X.5 wherein, X equates to 4 and X.5 equates to 4.5 that rounds up to the resultant 5. Further, flip flop stage delay logic  300  corresponds to a total flip flop count of this numerical resultant of K=5, namely 5 flip flops. As indicated in  FIG. 5 , the falling edge of the reference system clock signal CLKIN gates clock signal A through the flip flop cascade of flip flop stage delay logic  300 . Additionally, flip flop stage delay logic  300  triggers clock signal B output  300 C high after the fifth occurrence of the falling edge of the reference signal CLKIN. Further, clock signal B transitions to a low state again after the fifth falling edge occurrence of the reference system clock signal CLKIN as measured from the point in time when clock signal A transitions low.  FIG. 5  depicts the resultant right shifted copy of clock signal A as clock signal B consistent with the timing relationship described above. This example further describes clock signal B as representing a shift of X.5, or 4.5 times of reference system clock CLKIN to the right of clock signal A. 
   Flip flop  170  employs the rising edge of the clock signal CLKIN_DEL at its clock input and the clock signal A at its data input to generate the clock signal A_DEL at the output of flip flop  170 . Clock signal A_DEL exhibits a pulse width identical to that of clock signal A. However, flip flop  170  shifts or delays the signal A_DEL in time by the first occurrence of the rising edge of the clock signal CLKIN_DEL. Clock signal A_DEL transitions to a low state at  502  in common timing with the rising edge of clock signal CLKIN_DEL. Clock signal A_DEL remains low until the next transition of clock signal A to a high state initiates the cycle again. Clock signal B_DEL follows with the same relationship between clock signal B and CLKIN_DEL, wherein each occurrence of the falling edge of CLKIN_DEL triggers falling edge flip flop  180 . Further, flip flop  180  clocks in the clock signal B as its data input and CLKIN_DEL as its clock input. In response, flip flop  180  generates a delayed clock signal B_DEL which is effectively a duplicate pulse width waveform of clock signal B except delayed in time. Moreover, the clock signal B_DEL is further delayed from clock signal B by the falling edge of clock signal CLKIN_DEL at the output of flip flop  180 . 
   OR gate  190  generates the output clock signal CLKOUT as a Boolean OR function of the four clock signals, A, A_DEL, B and B_DEL, respectively supplied to the four inputs of OR-gate  190  as seen in  FIG. 1 . Referring again to  FIG. 5 , the rising edge of clock signal A at  501  causes OR gate  190  to generate the first rising edge of the output clock signal CLKOUT at  501 ′. The clock signal A_DEL at OR gate input  190 B overlaps clock signal A to prevent any potential for OR-gate  190  losing input continuity. The falling edge of A_DEL at  502  corresponds to the first falling edge  502 ′ of output clock signal CLKOUT as seen in  FIG. 5 . When clock signal B transitions high at  503 , the output of OR-gate  190  transitions high to generate the second rising edge of the output clock signal CLKOUT at  503 ′. In summary, OR gate  190  of divider circuit  100  causes the output clock signal CLKOUT to transition to a high state when either clock signal A transitions high, or clock signal B transitions high, as the per timing diagram of per  FIG. 1 . The overlap, or period of time during which both clock signal B and the B_DEL signal at OR gate input  190 D remain high, assures no intermediate falling edge data presented to OR-gate  190 . OR-gate  190  ensures that the falling edge of clock signal B_DEL at  504  clearly defines the falling edge of the second output clock signal CLKOUT pulse at  504 ′. In summary, OR gate  190  of divider circuit  100  causes the output clock signal CLKOUT to transition to a low state when either clock signal A_DEL transitions low, or clock signal B_DEL transitions low as the per timing diagram of per  FIG. 1 . The methodology described above generates the first two clock cycles or pulse periods of CLKOUT. As seen in the timing diagram in  FIG. 5 , divider circuit  100  may repeat this methodology indefinitely until interrupted by the discontinuation of the input reference system clock signal CLKIN. Further, the relationship between clock signal A and clock signal B in cooperation with clock signal A_DEL and clock signal B_DEL results in an output signal CLKOUT that achieves an ideal 50/50 duty cycle in one embodiment. 
   In one embodiment, divider circuit  100  may couple to, or form part of, a digital circuit such as a processor, microprocessor, digital signal processor (DSP), communication device in an information handling system. An information handling system (IHS) typically includes a processor coupled to system memory via a bus. Input and output devices couple to the bus to provide input and output of information for the IHS. Representative information handling systems include desktop, laptop, notebook, server, mainframe and minicomputer systems. 
     FIG. 6  is a process flow diagram that shows process flow in one embodiment of the disclosed divider circuit  100 . Variable duty cycle pulse generator  200  receives an input clock signal CLKIN and a divider value (X.5), as per block  600 . Variable duty cycle pulse generator  200  generates clock signal A as an output clock signal. Clock signal A remains in an active high state, as described above in reference to block  210  of the state machine of  FIG. 2 , for a period equal to └X/2┘ as represented by Equation 3. Clock signal A transitions to an inactive or low state for a period described as 2(X.5)−└X/2┘ per Equation 4. The resultant of 2(X.5) defines the total period of clock signal A. Further, 2(X.5) defines the summation of the active high and inactive low periods of clock signal A. Delay logic loop  130  receives input clock signal CLKIN as reference, per block  610 . Delay logic loop  130  generates both a 270° output and a 90° output clock signal referenced off input clock signal CLKIN  100 A. Per block  620 , AND/OR logic gate  160  receives delay logic loop  130 &#39;s generated 270° output and 90° output clock signals. Inverter gate  150  receives input signal X_EVEN/ODD  100 C. If X_EVEN/ODD signal exhibits a low state, AND/OR logic gate  160  passes through clock signal 270°  160 B which generates clock signal CLKIN_DEL. However, if X_EVEN/ODD signal exhibits a high state, AND/OR logic gate  160  passes through clock signal 90°  160 C which generates the clock signal CLKIN_DEL. 
   Flip flop stage delay logic circuit  300  receives an input clock signal A at input  300 A and a reference system clock input signal CLKIN at input  300 B, as per block  630  and  FIG. 3 . The total number of flips flops or stages within flip flop stage delay logic circuit  300  equals ┌X.5┐ per Equation 5. Flip flop stage delay logic circuit  300  generates the output signal clock B at the output of flip flop stage delay logic circuit  300 . The rising edge of clock signal CLKIN_DEL triggers clock signal A as input to flip flop  170 , and the falling edge of CLKIN_DEL triggers clock signal B as input to flip flop  180 , per block  640 . Flip flop  170  generates output signal A_DEL as a delayed copy of clock signal A. Moreover, flip flop  180  generates output signal B_DEL as a delayed copy of clock signal B. Clock signal A_DEL and clock signal B_DEL flow to respective inputs of OR-gate  190  per block  650 . Further, clock signal A and clock signal B flow to other respective inputs of OR-gate  190  as well. OR-gate  190  combines clock signal A, clock signal B, clock signal A_DEL and clock signal B_DEL using a logic OR operation, as per block  650 . In this manner, block  650  generates the output clock signal CLKOUT at the output of divider circuit  100 . 
     FIG. 7  shows an information handling system (IHS)  700  that includes a divider circuit  100 . Divider circuit  100  provides clocking signals to some of the components of IHS  700 , such as a processor  705 , as described below. IHS  700  further includes a bus  710  that couples processor  705  to system memory  715  and a video graphics controller  720 . A display  725  couples to video graphics controller  720 . Nonvolatile storage  730 , such as a hard disk drive, CD drive, DVD drive, or other nonvolatile storage couples to bus  710  to provide IHS  700  with permanent storage of information. An operating system  735  loads in memory  715  to govern the operation of IHS  700 . I/O devices  740 , such as a keyboard and a mouse pointing device, couple to bus  710 . One or more expansion busses  745 , such as USB, IEEE 1394 bus, ATA, SATA, PCI, PCIE and other busses, may couple to bus  710  to facilitate the connection of peripherals and devices to IHS  700 . A network adapter  750  couples to bus  710  to enable IHS  700  to connect by wire or wirelessly to a network and other information handling systems. While  FIG. 7  shows one IHS that employs processor  700 , the IHS may take many forms. For example, IHS  700  may take the form of a desktop, server, portable, laptop, notebook, or other form factor computer or data processing system. IHS  700  may also take on other form factors such as a personal digital assistant (PDA), a gaming device, a portable telephone device, a communication device or other devices that include a processor and memory. In this particular embodiment, divider circuit  100  couples to one or more of video graphics controller  720 , I/O devices  740  and network adapter  750  to provide clocking signals thereto. Video graphics controller  720 , I/O devices  740  and network adapter  750  act as receptor circuits for these clocking signals. 
   The foregoing discloses a clock signal divider method and apparatus that, in one embodiment, divides the input reference system clock signal by a divisor of X.5 wherein X represents an integer of 2 or more. In one embodiment, the disclosed method and apparatus maintains an ideal duty cycle reference of 50%, namely 50% high and 50% low or 50/50, for the output clock signal CLKOUT, while maintaining a direct relationship between falling and rising edges of the reference system clock signal CLKIN and the resultant output clock signal CLKOUT. 
   Modifications and alternative embodiments of this invention will be apparent to those skilled in the art in view of this description of the invention. Accordingly, this description teaches those skilled in the art the manner of carrying out the invention and is intended to be construed as illustrative only. The forms of the invention shown and described constitute the present embodiments. Persons skilled in the art may make various changes in the shape, size and arrangement of parts. For example, persons skilled in the art may substitute equivalent elements for the elements illustrated and described here. Moreover, persons skilled in the art after having the benefit of this description of the invention may use certain features of the invention independently of the use of other features, without departing from the scope of the invention.