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Binary Conversions

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I need to know step-by-step how to find the decimal value of

0101111101110011110111111001110
2
using Two's compliment

and how to find the 16 bit 1's compliment of 2000

Also other recommended solutions that would help me to learn / understand how to make the conversions.

Thank you.

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Solution Summary

The expert examines binary conversions for the decimal values.

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QUESTION

1. Convert 01011111011100111101111110011102 to its decimal equivalent

Step 1: Count the number of 0's and 1's in total and then deduct one from the sum. The extreme zero on the left can be safely ignored. From the question there are 30 digits and after deducting 1 we will get 29 digits in total.

Step 2: Start from the extreme right and assign powers, in base 2, ...

Solution provided by:
Chidi Ngene, M. Sc.
Education
  • B. Sc., University of Nigeria
  • M. Sc., London South Bank University
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