[aprssig] A funny packet story/joke (The KISS guys will get it)
Gregg Wonderly gregg at wonderly.orgWed Nov 9 15:41:54 UTC 2005
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Just to add the final math business... Bill Herrmann wrote: > Units: > bit - binary digit - the good old 1 or 0. binary means base 2 math is involved, a single digit can have the values from 0 to (base-1) for any math in any base. Thus, base 10 math uses values from 0 to 9 for each digit, and base 2 math uses 0 to 1. Base 16 (hexidecimal) uses 0 to 15. In base 16 math, to have single character values, for the digit values 10 through 15, these values are represented by A, B, C, D, E and F respectfully. in base 2, the maximum value representable in N bits is (2^N)-1. So 32 bit memory addresses can represent ~4.2 billion distinct locations. Switching to 64 bit memory addresses will thus provide 4.2 billion times 4.2 billion distinct locations. This is means that mostlikely the next common term for memory size (after terabyte, 2^40, goes away) will be petabyte (2^50). > nibble - 4 bits 16 values can be represented, 0 to (2^4)-1. 0 to F in base 16 > byte - 8 bits 256 values can be represented, 0 to (2^8)-1. 0 to FF in base 16 interesting (to me) base 16 values that I remember from various intense use of hex for debugging 5ESS switches in the field. 20 = 32 40 = 64 50 = 80 64 = 100 80 = 128 a0 = 160 c0 = 192 f0 = 240 Interesting base 2 factors 2^10 = 1KB 2^16 = 32KB 2^20 = 1MB 2^24 = 16MB 2^30 = 1GB 2^40 = 1TB 2^50 = 1PB Each 10 bits creates a new size measurment because that is a multiply by 1024. 1024 for base 2 math is in line with 1000 for base 10 math. Gregg Wonderly W5GGW
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