Convert from Binary to Decimal:(11000011)2 to Decimal10 /DCLO- ALT-EN-E10 (Mac)

Answered: Convert from Binary to Decimal:…

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Explanation

1) Binary to decimal conversion converts a number given in the binary system to its equivalent in the decimal number system.

2) Binary number system has a base of 2 because it has only two digits to represent any number

3) Decimal number system has a base of 10, as it has 10 digits to represent a number.

4) Below are the steps to convert binary number 11000011 to decimal number

List out the powers of 2 for all the digits starting from the rightmost position
- 1 1 0 0 0 0 1 1 = 1x $2^{7}$ + 1x $2^{6}$ + 0x $2^{5}$ + 0x $2^{4}$ + 0x $2^{3}$ + 0x $2^{2}$ + 1x $2^{1}$ +1x $2^{0}$
Now multiply each digit in the binary number starting from the right with its respective weight based on its position
- 1 1 0 0 0 0 1 1 = 1x128 + 1x 64 + 0x32 + 0x16 + 0x8 + 0x4+ 1x2 +1x1
- = 128 + 64 + 0 + 0 + 0 + 0 + 2 + 1
- = 195
So decimal Eqivalent is 195