Systems Architecture

Table of Contents

Conversion between bases
- If one radix is power of other radix
- If not:

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Conversion between bases

If one radix is power of other radix

Start right, take groups of size ratio of powers (e.g. hex to octal — 16 (2⁴) to 8 (2³) — 4 to 3 —convert to binary, group by 3s)

Ex:

Binary (2¹)	grouping (1/3)	Octal (2³)
10100101001	010 100 101 001	2 4 5 1

If not:

Binary to decimal — multiply & add up powers of 2
Decimal to binary — identify powers of 2 OR repeatedly divide by 2