NUMBER SYSTEMS

Base 10: 0,1,2,3,4,5,6,7,8,9,10,Binary: 0,1,10,11,100,101, etcClocks? Base 60Roman Numerals? I,V,X,L,C,D,MOld English Currency? 12Old Spanish Currency? 8

WHAT IS A BASE?

BASE 10: UNITS, TENS, HUNDREDS, THOUSANDS1 10 10X10 10X10X10

BINARY: 1 2 2X2=4 2X2X2=8OCTAL: 1 8 8X8=64 8X8X8=512HEXAD: 1 16 16X16=256 16X16X16=3796

WHAT IS 37?

Binary (2) 1x32+0x16+0x8+1x4+0x2+1=100101Octal (8) 4x8+5 = 45Decimal (10) 3x10 + 7 = 37Hexadecimal (16) 2x16 + 5 = 25

BIG NUMBERS AND

SMALL NUMBERS

Powers of 10

10-15 10-12 10-9 10-6 103 100 103 106 109 1012

Femto, pico nano, micro, milli, one, kilo, mega, giga, tera-

Big Numbers Small numbers

Deka- 101 10hecto- 102 100kilo- 103 1000mega- 106 1,000,000giga- 109 1,000,000,000 tera- 1012 1,000,000,000,000

Deci- 10-1 1/10centi- 10-2 1/100milli- 10-3 1/1,000micro- 10-6 1/1,000,000nano- 10-9 1/1,000,000,000pico- 10-12 1/1,000,000,000,000

femto- 10-15 1/ 1 with 15 zeros

atto- 10-18 1/1 with 18 zeros