Please check the answer and add explanation properly at every steps and solve steps wise 1 Number System Conversions (15 points)a) Convert the decimal number 175 to binary.b) Convert the hexadecimal number E9 to decimal.c) Convert the binary number 10101101 to octal.2- Simplify the Boolean expression using algebraic manipulation: F(A, B, C) = (A' + BC)(ABC) (20 points).

Explanation:Here is the explanation for your questions:1. Number System Conversions: a) Convert the…

Answered: 1 Number System Conversions (15 points)…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

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Section5.5: A Closer Look: Loop Programming Techniques

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1 Number System Conversions (15 points) a) Convert the decimal number 175 to binary. b) Convert the hexadecimal number E9 to decimal. c) Convert the binary number 10101101 to octal. 2- Simplify the Boolean expression using algebraic manipulation: F(A, B, C) = (A' + BC) (ABC) (20 points).