Espresso Logic Minimization Minimizer Algorithms Boolean logic (or Boolean algebra) minimization generally follows a approach, also known as a Veitch diagram, K-map, or KV-map. The Boolean Minimizer software uses both and (© UC Berkeley) algorithms to implement Karnaugh mapping and to optimize minimization. Sanghavi, 'Espresso-Signature: A New Exact Minimizer for Logic Functions,' Master's Report, University of Cali- fornia, Berkeley, May 1993. AUTHOR Please direct any questions or comments to: Richard Rudell 205 Cory Hall Dept. Of EECS University of California Berkeley, California 94720. Espresso was first developed in the 1960s, and it has become the most commonly used logic minimization program used in industry. Espresso is strictly “rule-based”, meaning that it does not search for a guaranteed minimum solution (although in many cases, the true minimum is found). A NodeJS bridge to the Espresso heuristic logic minimizer. The original source code comes from the University of California, Berkeley. Npm install espresso-logic-minimizer.
Minimizer Algorithms
Boolean logic (or Boolean algebra) minimization generally follows a Karnaughmap approach, also known as a Veitch diagram, K-map, orKV-map. The Boolean Minimizer softwareuses Espresso(© UC Berkeley) algorithms to implement Karnaugh mapping and to optimize minimization.
In contrast, the Logic Minimizer softwareperforms automated logic design bysearching for circuits that match the transfer function specifiedby the input and output signal waveforms. Because the searchbegins with the smallest number of gates orflip-flops, the first circuit solution found will generally be thesimplest possible solution.
Function Boolean Logic Design - Auto
Input
Boolean Equation yes Boolean tool 'Logic Design' output
Operators not and or
nand nor xor xnor 		'
Operator Formats VHDL PALASM ABEL C '
Truth Table / Waveform Truth Table Waveform
Variables / Input Signals 1 - 20 1 - 10
Logic States 0, 1, x 0, 1, x, r, f
Minimization
Combinational logic yesyes
Sequential logic - yes
Synchronous logic - yes
Asynchronous logic - yes
Minimization method Espresso Iterative search & compare
Output
Boolean Equation not and or inv and or
nand nor xor xnor dff
Truth Table / Waveform Truth Table Waveform
Logic Schematic Drawing - inv and or
nand nor xor xnor dff
Speed Very Fast Fast to Very Slow

The purpose of this project is to demonstrate why traditional methods of logic design ( truth tables + minimization) are no longer used when designing even the simplest logic design components. In this project, four components are profiled as two-level implementations using ESPRESSO for logic minimization and other helpful details. After the appropriate components are evaluated by ESPRESSO, the resulting information is analyzed and then put into a table format.

- If you are trying to get started using ESPRESSO, you may want to try these links:

  • ESPRESSO Tutorial - http://diamond.gem.valpo.edu/~dhart/ece110/espresso/tutorial.html

  • ESPRESSO Man Pages - http://bear.ces.cwru.edu/eecs_cad/man_octtools_espresso_inputs.html
    http://bear.ces.cwru.edu/eecs_cad/man_octtools_espresso.html

    • Espresso logic minimization

    - Creating ESPRESSO inputs can become tedious. A better finder rename 11 12x12. It may be best to find a good program to create your ESPRESSO inputs like 'eqntott'. Another alternative is for one to create their own program to create the ESPRESSO inputs.

    Basic Interpretation of ESPRESSO can be found in the ESPRESSO tutorial (use link above). The following contains the descriptions of how to get the results illustrated in the results tables to follow.

    • Inputs: # of Inputs to Component

  • Truth-Table Rows: 2 * Inputs

  • Gate Count: # of Logic Gates Needed for the Circuit (AND + OR + INV). In most cases the # of outputs equals the # of OR gates since their is only one OR gate per output in this PLA Implementation. The # of INVERTERS equals the the number of inputs because in every circuit there needs to be an inverter to an initial input. The Number of AND gates is equal to the number of equations that the ESPRESSO output file has.This can be found by either counting the # of equations manually or locating the line starting with '.p' before the output equations are listed (the number after the .p is the number of equations)

  • Transistor Count: # of Transistors for circuit. This implementation assumes 5 transistors for an AND & OR gates and 2 for each INV gate.

  • Total # of AND Gate Inputs: This is the total amount of inputs to all of the AND gates in the circuit. This can be found either by counting the number of binary digits (do not count don't cares) in the left hand side of the ESPRESSO output equations or by looking on the last line of the ESPRESSO output file which starts with a '#' in front of it. The line contains an expression such as 'in= (number)'. That number is the total number of AND gate inputs.

  • Total # of OR Gate Inputs: This is the total amount of inputs to all of the OR gates in the circuit. This can be found either by counting the ones on the right hand side of the ESPRESSO output equations or by looking on the last line of the ESPRESSO output file which starts with a '#' in front of it. The line contains an expression such as 'out= (number)'. That number is the total number of OR gate inputs.

  • Total # of INV Gate Inputs: Equal to the amount of inputs for a component.

  • Total # of Gate Inputs: Total AND inputs + Total OR inputs. (Not counting INV gates)

  • Delay: Critical Path of Circuit. To do this one must get the # of AND gate inputs & OR gate inputs for an individual output and then technology map the respective AND & OR gates for that output to get the 'levels' of 2-input AND gates & 2-input OR gates used. To get the levels of inputs you must take the log (base 2) of the # of inputs. For example, an output having 8 AND gate inputs would technology map down to 3 levels of 2-input AND gates. Once you have figured out the technology-mapping 'levels' for both the AND gate and the OR gate, multiply those by the delay for a 2-input AND/OR gate (.12ns & .14ns) This gives the critical path delay from the and gate level to the or gate level. Lastly add the delay of an inverter gate to your previous solution to get the total delay.

  • Logic Synthesis Time: Time taken for ESPRESSO to minimize equations and create output. The last line of the ESPRESSO output file which starts with a '#' in front of it contains the time taken to minimize it. (can be varied by servers)

    • espresso input files (1bit -> 8bit): a_1 a_2a_3a_4a_5a_6a_7a_8

    -generated by program: espresso.cpp

    espresso output files (1bit -> 8bit): 1bit2bit3bit4bit5bit6bit7bit8bit

    Espresso Logic Minimization For Mac Os

    -obtained after running ESPRESSO

    Size
    (bits)
    		Inputs
    Truth-Table Rows
    Gate
    Count
    Transistor Count
    Total # of
    AND Gate Inputs
    Total # of
    OR Gate Inputs
    Total # of
    Gate Inputs
    Delay (ns)
    Logic Synthesis Time
    (seconds)
    1247296390.290.01
    241618783211430.690.01
    366441187115311470.950.01
    4825688408340754151.230.04
    510102818388089216710591.370.33
    61240963741834219635525511.513.27
    714163847573743519673559311.7742.09
    8166553615397647119721499132711.911798.60

    espresso input files (1bit -> 8bit): ci_1 ci_2 ci_3 ci_4 ci_5ci_6ci_7 ci_8

    -generated by program: espresso.cpp

    espresso output files (1bit -> 8bit): co_1 co_2co_3 co_4 co_5co_6co_7 co_8

    -obtained after running ESPRESSO

    Size
    (bits)
    		Inputs
    Truth-Table Rows
    Gate
    Count
    Transistor Count
    Total # of
    AND Gate Inputs
    Total # of Adobe photoshop cc 2020 v21 1 0.
    OR Gate Inputs
    Total # of
    Dearmob iphone manager 4 2 gb. Gate Inputs
    Delay (ns)
    Logic Synthesis Time
    (seconds)
    12493984120.290.01
    241617733210420.550.01
    36643113796221180.810.01
    4825657261256463020.950.01
    5101028107505640 947341.210.07
    6124096205989153619017261.350.42
    71416384389195335843823661.492.43
    816655367853877819276689581.6325.93

    espresso input files (1bit -> 8bit): m_1 m_2m_3m_4m_5m_6m_7m_8

    -generated by program: espresso.cpp

    Espresso Logic Minimization For Mac Free

    Espresso Logic Minimization For Mac

    espresso output files (1bit -> 8bit): o_m1o_m2o_m3o_m4o_m5o_m6o_m7

    -obtained after running ESPRESSO

    Size
    (bits)
    		Inputs
    Truth-Table Rows
    Gate
    Count
    Transistor Count
    Total # of
    AND Gate Inputs
    Total # of
    OR Gate Inputs
    Total # of
    Gate Inputs
    Delay (ns)
    Logic Synthesis Time
    (seconds)
    1245192130.290.00
    24161563228300.550.00
    366444202136381740.830.01
    482561446967351568911.230.21
    51010285072505355561341681.513.27
    612409619739829176572591202481.79163.52
    714163847538376488157510317918922.074765.41
    81665536

    N/A - Logic Synthesis Time over 24 hours

    espresso input files (1bit -> 8bit): cl_1 cl_2cl_3cl_4 cl_5cl_6cl_7cl_8

    -generated by program: espresso.cpp

    espresso output files (1bit -> 8bit): clo_1 clo_2clo_3clo_4 clo_5clo_6clo_7 clo_8

    Espresso Logic Minimization

    -obtained after running ESPRESSO

    Size
    (bits)
    		Inputs
    Truth-Table Rows
    Gate
    Count
    Transistor Count
    Total # of
    AND Gate Inputs
    Total # of
    OR Gate Inputs
    Total # of
    Gate Inputs
    Delay (ns)
    Logic Synthesis Time
    (seconds)
    124939123150.550.00
    241626118120221420.950.00
    3664793777561248801.230.01
    482562761356408063247121.630.10
    510102810495215204603056235161.911.38
    612409641262059498280143041125842.1912.86
    714163841641982053458724654725241962.47224.79
    8166553665576327832209712029478423919042.876989.00
    © 2003 University of California, Riverside, Department of Computer Science and Engineering, Riverside, CA 92521

    Espresso Boolean Minimization

    Questions/Concerns/Corrections? - [email protected]