Perform the following calculations and show your answers in their original base. You are required to show your calculation steps clearly) 227, X 46s ABC16+ DEF16 - 999,6

Introductory Circuit Analysis (13th Edition)
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Perform the following calculations and show your answers in their original base.
You are required to show your calculation steps clearly)
227, X 46s
ABC16+ DEF16 - 999,6
Transcribed Image Text:Perform the following calculations and show your answers in their original base. You are required to show your calculation steps clearly) 227, X 46s ABC16+ DEF16 - 999,6
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Step 1

Octal number system: Octal is the number system with base of 8. This number system uses numbers from 0 to 7.

For example 238,(72)8. Octal number can be converted into decimal number system, binary number system and hexadecimal number system. 

To represent octal number in to its equivalent binary number, it requires three bits (binary numbers 0 or 1) for one octal digit. For example 38=0112

Hexadecimal number system: Hexadecimal is the number system with base of 16. This number system uses 16 different numbers. Those are numbers from 0 to 9 (0,1,2,3,4,5,6,7,8,9) and A,B,C,D,E,F. A to F alphabets represent decimal numbers from 10 to 15. 

To represent hex number in to its equivalent binary number, it requires four bits (binary numbers 0 or 1) for one hex digit.

For example 9A16=(10011010)2

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