please help.me answer these Chapter 02 Goulden ppt (Compatibility Made)-PowerPoi

Question

please help.me answer these

Chapter 02 Goulden ppt (Compatibility Made)-PowerPoint Animations Side ShowRevien Tell me what you want to do. Shape Find c Replace Select Arrange Guc Styles Shape Effects font Parag aph Drawing Conversions Convert the binary value 0001 1011 0011 0101 to decimal. .Convert the decimal value 6965 to binary (base 2), hexadecimal (base 16), and octal (base 8) binary, octal, and decimal. (base 13)? . Convert the hexadecimal value 1B35 to .Can you convert 6965 to triskadecimal Copyright 2012 Pearson Education, Inc. p to add notes

Explanation / Answer

Convert the binary value: 0001 1011 0011 0101 to decimal.
1 * 2^0 +
0 * 2^1 +
1 * 2^2 +
0 * 2^3 +
1 * 2^4 +
1 * 2^5 +
0 * 2^6 +
0 * 2^7 +
1 * 2^8 +
1 * 2^9 +
0 * 2^10 +
1 * 2^11 +
1 * 2^12 +
0 * 2^13 +
0 * 2^14 +
0 * 2^15 +
= 1 + 4 + 16 + 32 + 256 + 512 + 2048 + 4096 = 6965.

Convert the decimal value 6965 to binary, hexadecimal, and octal.
6965 / 2 = 3482 with remainder 1.
3482 / 2 = 1741 with remainder 0.
1741 / 2 = 870 with remainder 1.
870 / 2 = 435 with remainder 0.
435 / 2 = 217 with remainder 1.
217 / 2 = 108 with remainder 1.
108 / 2 = 54 with remainder 0.
54 / 2 = 27 with remainder 0.
27 / 2 = 13 with remainder 1.
13 / 2 = 6 with remainder 1.
6 / 2 = 3 with remainder 0.
3 / 2 = 1 with remainder 1.
1 / 2 = 0 with remainder 1.
So, the binary equivalent is: 1 1011 0011 0101.

6965 / 16 = 435 with remainder 5.
435 / 16 = 27 with remainder 3.
27 / 16 = 1 with remainder 11 (B).
1 / 16 = 0 with remainder 1.
So, the hexadecimal equivalent is: 1B35.

6965 / 8 = 870 with remainder 5.
870 / 8 = 108 with remainder 6.
108 / 8 = 13 with remainder 4.
13 / 8 = 1 with remainder 5.
1 / 8 = 0 with remainder 1.
So, the octal equivalent is: 15465.

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