Answered: Q7: Find the following for a binary…

Q7: Find the following for a binary system: capable to represent a decimal number - 489 Number of bits needed The Range for this system

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter22: Sequence Control

Section: Chapter Questions

Problem 6SQ: Draw a symbol for a solid-state logic element AND.

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Q7: Find the following for a binary system: capable to represent a decimal number - 489
Number of bits needed
The Range for this system

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1) What is the biggest binary number (decimal value) you can write with 6 bits? What is the biggest binary number (decimal value and in terms of n) you can write with n bits? If you want to represent the decimal numbers from 0-16, what is the minimum number of bits you will need? Convert the decimal number 238 to binary number. (ZERO point if not showing steps/calculation!)
How to do it?
How to build this circuit? (on Digital or Logisim) Binary-coded decimal is an alternative method of representing integers using binary. In it, each base-10 digit is represented by four bits, thus each nibble takes one of 10 values (0000 through 1001). Therefore, using BCD, 42 (decimal) is represented as 0100 0010 (binary) and 196 (decimal) is represented as 0001 1001 0110 (binary). Create a circuit in Logisim that accepts as input a pair of two-digit integers represented as BCD and outputs their sum in BCD. Any and all Digital components are fair game. You can assume that all inputs will be valid BCD-encoded numbers.
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