Taxonomy Distribution Report

Overview

• Total Concepts: 410
• Number of Taxonomies: 20
• Average Concepts per Taxonomy: 20.5

Distribution Summary

Category	TaxonomyID	Count	Percentage	Status
Karnaugh Maps	KMAP	40	9.8%	✅
Canonical Forms	CANON	35	8.5%	✅
Sequential Fundamentals	SEQF	30	7.3%	✅
Sequential Design	SEQD	30	7.3%	✅
Programmable Logic	PLD	30	7.3%	✅
VHDL	VHDL	30	7.3%	✅
Quine-McCluskey Method	QM	25	6.1%	✅
Multi-Level Circuits	MLEV	25	6.1%	✅
Combinational Modules	CMOD	25	6.1%	✅
Arithmetic Circuits	ACIR	21	5.1%	✅
Logic Gates	GATES	16	3.9%	✅
Binary Arithmetic	ARITH	15	3.7%	✅
System Integration	SYSI	15	3.7%	✅
Boolean Theorems	THEOR	14	3.4%	✅
Boolean Fundamentals	BOOLF	11	2.7%	✅
Combinational Circuits	COMB	11	2.7%	✅
Number Conversions	CONV	10	2.4%	✅
Boolean Forms	FORMS	10	2.4%	✅
Number Systems	NUMSYS	9	2.2%	✅
Foundation Concepts	FOUND	8	2.0%	✅

Visual Distribution

KMAP   ███████████  40 (  9.8%)
CANON  █████████  35 (  8.5%)
SEQF   ████████  30 (  7.3%)
SEQD   ████████  30 (  7.3%)
PLD    ████████  30 (  7.3%)
VHDL   ████████  30 (  7.3%)
QM     ███████  25 (  6.1%)
MLEV   ███████  25 (  6.1%)
CMOD   ███████  25 (  6.1%)
ACIR   ██████  21 (  5.1%)
GATES  █████  16 (  3.9%)
ARITH  ████  15 (  3.7%)
SYSI   ████  15 (  3.7%)
THEOR  ████  14 (  3.4%)
BOOLF  ███  11 (  2.7%)
COMB   ███  11 (  2.7%)
CONV   ███  10 (  2.4%)
FORMS  ███  10 (  2.4%)
NUMSYS ███  9 (  2.2%)
FOUND  ███  8 (  2.0%)

Balance Analysis

✅ No Over-Represented Categories

All categories are under the 30% threshold (max: 9.8%). Good balance!

Category Details

Karnaugh Maps (KMAP)

Count: 40 concepts (9.8%)

Concepts:

• 1. Karnaugh Map
• 1. K-Map Structure
• 1. K-Map Cell
• 1. K-Map Variables
• 1. Two Variable K-Map
• 1. Three Variable K-Map
• 1. Four Variable K-Map
• 1. Five Variable K-Map
• 1. K-Map Gray Code Order
• 1. K-Map Adjacency
• 1. Logical Adjacency
• 1. Physical Adjacency
• 1. K-Map Grouping
• 1. Group of Ones
• 1. Group of Zeros
• ...and 25 more

Canonical Forms (CANON)

Count: 35 concepts (8.5%)

Concepts:

• 1. Incompletely Specified Func
• 1. Canonical Form
• 1. Standard Form
• 1. Minterm
• 1. Maxterm
• 1. Minterm Expansion
• 1. Maxterm Expansion
• 1. Minterm Designation
• 1. Maxterm Designation
• 1. Sum of Minterms
• 1. Product of Maxterms
• 1. Minterm to Maxterm
• 1. Maxterm to Minterm
• 1. Canonical SOP Form
• 1. Canonical POS Form
• ...and 20 more

Sequential Fundamentals (SEQF)

Count: 30 concepts (7.3%)

Concepts:

• 1. Sequential vs Combinational Logic
• 1. Memory Element
• 1. Feedback Loop
• 1. SR Latch (NOR)
• 1. SR Latch (NAND)
• 1. SR Latch Invalid State
• 1. Gated SR Latch
• 1. D Latch
• 1. Latch Transparency
• 1. Clock Signal
• 1. Clock Edge
• 1. Edge Triggering
• 1. Positive Edge Trigger
• 1. Negative Edge Trigger
• 1. D Flip-Flop
• ...and 15 more

Sequential Design (SEQD)

Count: 30 concepts (7.3%)

Concepts:

• 1. Register
• 1. Parallel Load Register
• 1. Shift Register
• 1. SISO Shift Register
• 1. SIPO Shift Register
• 1. PISO Shift Register
• 1. PIPO Shift Register
• 1. Binary Up Counter
• 1. Binary Down Counter
• 1. Up-Down Counter
• 1. Modulo-N Counter
• 1. Ring Counter
• 1. Johnson Counter
• 1. Finite State Machine
• 1. State Diagram
• ...and 15 more

Programmable Logic (PLD)

Count: 30 concepts (7.3%)

Concepts:

• 1. Programmable Logic Overview
• 1. Fuse Technology
• 1. Antifuse Technology
• 1. SRAM-Based Programming
• 1. ROM
• 1. PROM
• 1. EPROM
• 1. EEPROM
• 1. PLA
• 1. PAL
• 1. PLD Selection Criteria
• 1. CPLD
• 1. Function Block
• 1. Interconnect Matrix
• 1. FPGA
• ...and 15 more

VHDL (VHDL)

Count: 30 concepts (7.3%)

Concepts:

• 1. Hardware Description Language
• 1. VHDL History and IEEE 1076
• 1. VHDL Design Entity
• 1. Entity Declaration
• 1. Port Declaration
• 1. Port Modes
• 1. Architecture Body
• 1. Signal Declaration
• 1. Concurrent Signal Assignment
• 1. Selected Signal Assignment
• 1. Conditional Signal Assignment
• 1. Dataflow Modeling Style
• 1. Process Statement
• 1. Sequential Statements
• 1. If-Then-Else Statement
• ...and 15 more

Quine-McCluskey Method (QM)

Count: 25 concepts (6.1%)

Concepts:

• 1. Quine-McCluskey Algorithm
• 1. Tabular Minimization Method
• 1. Implicant Table Construction
• 1. Binary Representation of Minterms
• 1. Grouping by Number of Ones
• 1. Adjacency Criterion in QM
• 1. Combining Adjacent Minterms
• 1. Dash Notation for Combined Terms
• 1. Iterative Combination Process
• 1. Unchecked Terms as Prime Implicants
• 1. Prime Implicant Chart Construction
• 1. Essential Prime Implicants Selection
• 1. Row Dominance
• 1. Column Dominance
• 1. Cyclic Prime Implicant Charts
• ...and 10 more

Multi-Level Circuits (MLEV)

Count: 25 concepts (6.1%)

Concepts:

• 1. Two-Level vs Multi-Level Circuits
• 1. Two-Level Circuit Definition
• 1. Multi-Level Circuit Definition
• 1. NAND-NAND Realization
• 1. NOR-NOR Realization
• 1. NAND-NOR Mixed Networks
• 1. NOR-NAND Mixed Networks
• 1. Bubble Pushing Technique
• 1. Gate-Level Transformation
• 1. AOI Gate
• 1. OAI Gate
• 1. AOI-OAI Circuit Forms
• 1. Propagation Delay
• 1. Gate Delay Model
• 1. Critical Path Analysis
• ...and 10 more

Combinational Modules (CMOD)

Count: 25 concepts (6.1%)

Concepts:

• 1. Multiplexer
• 1. 2-to-1 Multiplexer
• 1. 4-to-1 Multiplexer
• 1. 8-to-1 Multiplexer
• 1. MUX Select Lines
• 1. MUX Data Lines
• 1. MUX Boolean Expression
• 1. MUX-Based Function Implementation
• 1. Shannon Expansion for MUX
• 1. MUX Tree Implementation
• 1. Decoder
• 1. 2-to-4 Decoder
• 1. 3-to-8 Decoder
• 1. Decoder with Enable
• 1. Decoder Expansion
• ...and 10 more

Arithmetic Circuits (ACIR)

Count: 21 concepts (5.1%)

Concepts:

• 1. Half Adder
• 1. Full Adder
• 1. Carry Bit
• 1. Sum Bit
• 1. Ripple Carry Adder
• 1. Half Subtractor
• 1. Full Subtractor
• 1. Borrow Bit
• 1. Difference Bit
• 1. Adder Subtractor Circuit
• 1. Comparator Circuit
• 1. Magnitude Comparator
• 1. Parity Generator
• 1. Parity Checker
• 1. Even Parity
• ...and 6 more

Logic Gates (GATES)

Count: 16 concepts (3.9%)

Concepts:

• 1. Logic Gates
• 1. AND Gate
• 1. OR Gate
• 1. NOT Gate
• 1. Inverter
• 1. NAND Gate
• 1. NOR Gate
• 1. XOR Gate
• 1. XNOR Gate
• 1. Buffer Gate
• 1. Universal Gates
• 1. Gate Symbols
• 1. IEEE Gate Symbols
• 1. Multiple Input Gates
• 1. Cascading Gates
• ...and 1 more

Binary Arithmetic (ARITH)

Count: 15 concepts (3.7%)

Concepts:

• 1. Binary Addition
• 1. Binary Subtraction
• 1. Binary Multiplication
• 1. Binary Division
• 1. Signed Numbers
• 1. Unsigned Numbers
• 1. Sign Magnitude
• 1. Ones Complement
• 1. Twos Complement
• 1. Sign Extension
• 1. Twos Complement Addition
• 1. Twos Complement Subtraction
• 1. Overflow Detection
• 1. Underflow
• 1. Range of Signed Numbers

System Integration (SYSI)

Count: 15 concepts (3.7%)

Concepts:

• 1. Top-Down Design Methodology
• 1. Hierarchical Decomposition
• 1. Datapath Design
• 1. Controller Design
• 1. Datapath-Controller Partitioning
• 1. Control Signals
• 1. Status Signals
• 1. ASM Chart
• 1. Timing Budget
• 1. Critical Path in System
• 1. Pipelining Concept
• 1. System Verification
• 1. Design for Testability
• 1. UART Protocol Basics
• 1. System-Level Debugging

Boolean Theorems (THEOR)

Count: 14 concepts (3.4%)

Concepts:

• 1. Identity Law
• 1. Null Law
• 1. Idempotent Law
• 1. Involution Law
• 1. Complement Law
• 1. Commutative Law
• 1. Associative Law
• 1. Distributive Law
• 1. Absorption Law
• 1. Consensus Theorem
• 1. DeMorgans First Theorem
• 1. DeMorgans Second Theorem
• 1. Duality Principle
• 1. Algebraic Simplification

Boolean Fundamentals (BOOLF)

Count: 11 concepts (2.7%)

Concepts:

• 1. Boolean Algebra
• 1. Boolean Variable
• 1. Boolean Constant
• 1. Logic Levels
• 1. High and Low States
• 1. Truth Value
• 1. AND Operation
• 1. OR Operation
• 1. NOT Operation
• 1. Complement
• 1. Truth Table

Combinational Circuits (COMB)

Count: 11 concepts (2.7%)

Concepts:

• 1. Combinational Logic
• 1. Sequential Logic
• 1. Logic Circuit
• 1. Circuit Analysis
• 1. Circuit Synthesis
• 1. Specification to Circuit
• 1. Word Problems to Boolean
• 1. Switching Functions
• 1. Binary Decision
• 1. Enable Signal
• 1. Control Signal

Number Conversions (CONV)

Count: 10 concepts (2.4%)

Concepts:

• 1. Binary to Decimal Conversion
• 1. Decimal to Binary Conversion
• 1. Octal to Decimal Conversion
• 1. Decimal to Octal Conversion
• 1. Hexadecimal to Decimal
• 1. Decimal to Hexadecimal
• 1. Binary to Octal Conversion
• 1. Octal to Binary Conversion
• 1. Binary to Hexadecimal
• 1. Hexadecimal to Binary

Boolean Forms (FORMS)

Count: 10 concepts (2.4%)

Concepts:

• 1. Boolean Expression
• 1. Logic Function
• 1. Literal
• 1. Product Term
• 1. Sum Term
• 1. Sum of Products
• 1. Product of Sums
• 1. Precedence of Operators
• 1. Parentheses in Boolean
• 1. Literal Count

Number Systems (NUMSYS)

Count: 9 concepts (2.2%)

Concepts:

• 1. Binary Number System
• 1. Decimal Number System
• 1. Octal Number System
• 1. Hexadecimal Number System
• 1. Positional Notation
• 1. Base of Number System
• 1. Radix Point
• 1. BCD Code
• 1. Gray Code

Foundation Concepts (FOUND)

Count: 8 concepts (2.0%)

Concepts:

• 1. Digital Systems
• 1. Analog vs Digital Signals
• 1. Bit
• 1. Nibble
• 1. Byte
• 1. Word
• 1. Most Significant Bit
• 1. Least Significant Bit

Recommendations

• ✅ Good balance: Categories are reasonably distributed (spread: 7.8%)
• ✅ Full course coverage: All 13 units represented across 20 taxonomy categories

Educational Use Recommendations

• Use taxonomy categories for color-coding in graph visualizations
• Design curriculum modules based on taxonomy groupings
• Create filtered views for focused learning paths
• Use categories for assessment organization
• Enable navigation by topic area in interactive tools

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Generated: 2026-02-20