Reduce the following Boolean expressions to the indicated number of literals.1. (x'y' + z)' + z xy + wzto three literals2. A'B(D' + C'D) + B(A + A'CD)to one literal

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Reduce the following Boolean expressions to the indicated number of literals. (x'y' + z)' + z xy + wz to three literals 2. A'B(D' + C'D) + B(A + A'CD) to one literal

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter7: Input/output Technology

Section: Chapter Questions

Problem 25VE

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Concept explainers

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.

Question

Reduce the following Boolean expressions to the indicated number of literals.
1. (x'y' + z)' + z xy + wz
to three literals
2. A'B(D' + C'D) + B(A + A'CD)
to one literal

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For questions asking for Boolean Expressions: All the answers will be in Uppercase letters ABCD... Use the exclamation point style NOT ! operator: A!B, !C!D, A!CD, !(A + !C), ... Each term will have individual letters in alphabetical order: AB, !CD, ACD, B!D, ... Variables that are ANDed together will have no space between the variables: ACD, B!CD, !AC!D, etc Terms that are ORed together in POS style format will be in parenthesis with spaces between the letters and the OR + symbols: (A + B + D)(C + D), (A + B + C), !(B + C), !(A + C + !D), ... For answers with multiple terms I tried to arrange them so that the terms with the fewest NOT operators ! are first and the most are last: AB + !BCD + !A!B + !A!B!D 1)To implement a 1-bit adder, write a Boolean expression for the Carry function. CarryOut(A, B, Ci) = ___________________ Input: A, B Carry in: C