Function minimization using Karnaugh - Maps. 1. 2. AB 00 DO 1 O D Bc 01 11 lo 0 1 00 - 01 5 = 2 0 F(A, B, C, D) 80 01 O D C (0) 1 1 ( ol - 11 10 O O 0 - 11 10 - O O - A=0 1 F (A, B, C. D, E) = D 0 0 " вс DE Wo 00 01 OD ao 11 10 0 O O - 이 11 10 - D 0 F O I 0 O A = 1 O

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# Function Minimization Using Karnaugh Maps

## 1. Karnaugh Map for F(A, B, C, D)

### Diagram:

#### Header:
- **Column Variables (AB):** 00, 01, 11, 10
- **Row Variables (CD):** 00, 01, 11, 10

#### Table Content:

|     | 00 | 01 | 11 | 10 |
|-----|----|----|----|----|
| **00** | 1  | 0  | 0  | 1  |
| **01** | 1  | 0  | 1  | D  |
| **11** | D  | D  | 1  | 0  |
| **10** | 0  | 1  | 1  | 0  |

### Function:
\[ F(A, B, C, D) = \dots \] *(Details to be filled based on binary grouping and simplification.)*

## 2. Karnaugh Maps for F(A, B, C, D, E)

### A = 0

#### Diagram:

#### Header:
- **Column Variables (BC):** 00, 01, 11, 10
- **Row Variables (DE):** 00, 01, 11, 10

#### Table Content:

|     | 00 | 01 | 11 | 10 |
|-----|----|----|----|----|
| **00** | 0  | 1  | 1  | 0  |
| **01** | 0  | 0  | 0  | 1  |
| **11** | 0  | 0  | 1  | 0  |
| **10** | 1  | 1  | 1  | 1  |

### A = 1

#### Diagram:

#### Header:
- **Column Variables (BC):** 00, 01, 11, 10
- **Row Variables (DE):** 00, 01, 11, 10

#### Table Content:

|     | 00 | 01 | 11 | 10 |
|-----|----|----|----|----|
| **00** | 0  | 1  | 1  |
Transcribed Image Text:# Function Minimization Using Karnaugh Maps ## 1. Karnaugh Map for F(A, B, C, D) ### Diagram: #### Header: - **Column Variables (AB):** 00, 01, 11, 10 - **Row Variables (CD):** 00, 01, 11, 10 #### Table Content: | | 00 | 01 | 11 | 10 | |-----|----|----|----|----| | **00** | 1 | 0 | 0 | 1 | | **01** | 1 | 0 | 1 | D | | **11** | D | D | 1 | 0 | | **10** | 0 | 1 | 1 | 0 | ### Function: \[ F(A, B, C, D) = \dots \] *(Details to be filled based on binary grouping and simplification.)* ## 2. Karnaugh Maps for F(A, B, C, D, E) ### A = 0 #### Diagram: #### Header: - **Column Variables (BC):** 00, 01, 11, 10 - **Row Variables (DE):** 00, 01, 11, 10 #### Table Content: | | 00 | 01 | 11 | 10 | |-----|----|----|----|----| | **00** | 0 | 1 | 1 | 0 | | **01** | 0 | 0 | 0 | 1 | | **11** | 0 | 0 | 1 | 0 | | **10** | 1 | 1 | 1 | 1 | ### A = 1 #### Diagram: #### Header: - **Column Variables (BC):** 00, 01, 11, 10 - **Row Variables (DE):** 00, 01, 11, 10 #### Table Content: | | 00 | 01 | 11 | 10 | |-----|----|----|----|----| | **00** | 0 | 1 | 1 |
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