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Put the attached boolean expression into a 4 variable k map and use the k map to find a simplified expression

Put the attached boolean expression into a 4 variable k map and use the k map to find a simplified expression

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Put the attached boolean expression into a 4 variable k map and use the k map to find a simplified expression.

**Boolean Algebra Expression** The image contains a Boolean algebra expression composed of several minterms, which represent specific combinations of variables being true or false. The expression is: w'x'y'z' + w'x'y'z + w'x'yz' + w'x'yz + w'xy'z + w'xyz + wx'y'z' + wx'y'z **Explanation of Variables:** - **w, x, y, z**: These are binary variables that can have values of either 0 or 1. - **'**: This symbol (apostrophe) denotes the complement or negation of a variable. **Detailed Breakdown of Minterms:** 1. **w'x'y'z'**: This term is true when w, x, y, and z are all false. 2. **w'x'y'z**: This term is true when w and x are false, and y and z are true. 3. **w'x'yz'**: This term is true when w and x are false, y is true, and z is false. 4. **w'x'yz**: This term is true when w and x are false, and y and z are true. 5. **w'xy'z**: This term is true when w is false, x is true, y is false, and z is true. 6. **w'xyz**: This term is true when w is false, and x, y, and z are true. 7. **wx'y'z'**: This term is true when w is true, and x, y, and z are false. 8. **wx'y'z**: This term is true when w is true, x and y are false, and z is true. This expression could be used in digital logic design to define a truth table and subsequent logic circuit which performs a specific function based on the values of w, x, y, and z.
Transcribed Image Text:**Boolean Algebra Expression** The image contains a Boolean algebra expression composed of several minterms, which represent specific combinations of variables being true or false. The expression is: w'x'y'z' + w'x'y'z + w'x'yz' + w'x'yz + w'xy'z + w'xyz + wx'y'z' + wx'y'z **Explanation of Variables:** - **w, x, y, z**: These are binary variables that can have values of either 0 or 1. - **'**: This symbol (apostrophe) denotes the complement or negation of a variable. **Detailed Breakdown of Minterms:** 1. **w'x'y'z'**: This term is true when w, x, y, and z are all false. 2. **w'x'y'z**: This term is true when w and x are false, and y and z are true. 3. **w'x'yz'**: This term is true when w and x are false, y is true, and z is false. 4. **w'x'yz**: This term is true when w and x are false, and y and z are true. 5. **w'xy'z**: This term is true when w is false, x is true, y is false, and z is true. 6. **w'xyz**: This term is true when w is false, and x, y, and z are true. 7. **wx'y'z'**: This term is true when w is true, and x, y, and z are false. 8. **wx'y'z**: This term is true when w is true, x and y are false, and z is true. This expression could be used in digital logic design to define a truth table and subsequent logic circuit which performs a specific function based on the values of w, x, y, and z.
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