Add and show sum in base five: 213five + 122five (more questions below)

timer Asked: Jan 22nd, 2016

Question description

1. Why does a number expansion help to convert from a nondecimal base to a decimal (base 10) base?

2.  What base 4 number would immediately follow 213four?  What base 7 number would immediately precede 560seven?

 3.  Add and show sum in base five:  213five + 122five  

 4.  Conversions between octal and binary can be done without intermediate conversion to decimal.  How is this done?  Convert 10010111two to octal.  Convert 634eight to binary (base 2) using the quick conversion shortcut.  Why does the shortcut work?

 5.  Conversions between hexidecimal and binary can be done without intermediate conversion to decimal.  Explain how is this done?  Convert 9CEsixteen to binary (base 2).

6.  How can you convert between any two nondecimal bases?

7.  One version of a base twelve system uses A for ten and B for eleven.  Convert 5BAtwelve to decimal.

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