Scribd
Upload
5 views10 pages

واجهة

This document discusses Karnaugh Maps (K-Maps), a graphical method for simplifying Boolean algebra expressions, introduced by Maurice Karnaugh in 1953. K-Maps are particularly effective for optimizing combinational circuits with 2 to 5 variables, offering a visual approach to minimize logic functions, which leads to more efficient circuit designs. The report also highlights the structure, rules, and real-world applications of K-Maps in digital logic design.

Uploaded by

aloosh45630
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
5 views10 pages

واجهة

This document discusses Karnaugh Maps (K-Maps), a graphical method for simplifying Boolean algebra expressions, introduced by Maurice Karnaugh in 1953. K-Maps are particularly effective for optimizing combinational circuits with 2 to 5 variables, offering a visual approach to minimize logic functions, which leads to more efficient circuit designs. The report also highlights the structure, rules, and real-world applications of K-Maps in digital logic design.

Uploaded by

aloosh45630
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 10

‫ﺟﺎﻣﻌﺔ اﻟﺑﺻرة‬

‫ﻛﻠﯾﺔ ﻋﻠوم اﻟﺣﺎﺳوب وﺗﻛﻧﻠوﺟﯾﺎ اﻟﻣﻌﻠوﻣﺎت‬


‫ﻗﺴﻢ اﻻﻣﻦ اﻟﺴﯿﺒﺮاﻧﻲ‬

‫‪KARNAUGH MAP‬‬
‫‪LOGIC DESIGN‬‬

‫اﺳم اﻟطﺎﻟب‪ :‬ﻋﻠﻲ ﻋﺎﻣر ﻋﺑد اﻟﺣﻣﯾد‬


‫اﺷراف‪ :‬م‪.‬د ﻣرﺗﺿﻰ ﺳﺎﻣﻲ‬
‫ﺗﺎرﯾﺦ اﻟﺗﺳﻠﯾم‪2025/5/11 :‬‬
Introduc�on

Karnaugh Maps (K-Maps) are a graphical method for simplifying


Boolean algebra expressions, introduced by Maurice Karnaugh in
1953. Unlike algebraic simplification, K-Maps provide a visual and
systematic way to minimize logic functions by grouping adjacent
cells. This results in fewer logic gates, lower power consumption, and
more efficient circuit designs. K-Maps are especially useful for
optimizing combinational circuits with 2 to 5 variables, such as
multiplexers and decoders. While other methods like the Quine-
McCluskey algorithm handle larger functions better, K-Maps remain
popular for their simplicity and effectiveness in manual optimization.
This report examines the structure, rules, and applications of K-Maps
in digital logic design.

K-Maps are especially useful for


optimizing combinational circuits
with 2 to 5 variables, such as
multiplexers and decoders. While
other methods like the Quine-
McCluskey algorithm handle larger
functions better, K-Maps remain
popular for their simplicity and
effectiveness in manual optimization.
This report examines the structure,
rules, and applications of K-Maps in
digital logic design.
K-Map , Algebraic Simplifica�on

Example 1: 2-Variable Func�on


Boolean Expression:
F(A,B)=∑(0,2,3)
(Minterms: A‾B‾+AB‾+AB)
2. K-Map Simplifica�on

B=0 B=1

A=0 | 1 | 0 |

A=1 | 1 | 1 |
Simplify the Boolean func�on:
F(A,B,C,D) = Σ(1, 3, 5, 7, 8, 10, 12, 14)
CD
AB | 00 | 01 | 11 | 10 |
-------------------------
00 | 0 | 1 | 1 | 0 |
01 | 0 | 1 | 1 | 0 |
11 | 1 | 0 | 0 | 1 |
10 | 1 | 0 | 0 | 1 |
"Why Is My K-Map Wrong?"

Real-World Applica�ons
Karnaugh Maps (K-Maps) are not just academic exercises—they are fundamental
tools used in real-world digital design. Here’s how engineers apply them today:
The sources

You might also like