bits & bytes


b bit (binary digit): fundamental basic and smallest unit of information.
capable of being 0 or 1 (i.e. can be flip-flopped between them).
binary: two-valued, or base-2 number system (cf. decimal: base-10 number system).
0 and 1 are the binary digits (cf. 0,1,2,...9 are the decimal digits).
All "soft stuff" (i.e. software and data) in computer is bits stored in/on/by hardware (current: flow/no flow; voltage: low/high; electrically charged/drained; magnetism: north/south; optical: pit/land). [bits are embodied]. It's simpler and cheaper to design and manufacture this kind of hardware.
Digital computer, phone, camera, gadgets, appliances, car, robot etc:
the real-world continuous/analog energy (light, sound, key presses, mouse movements, finger swipes, sensors' detections, etc)
converted into virtual-world discrete/digital bits for processing and storage, and vice versa.
B byte: group/collection of 8 bits.
28=256 combinations/bit patterns:
binaryas a decimal number
00000000 0
00000001 1
00000010 2
00000011 3
00000100 4
00000101 5
00000110 6
00000111 7
00001000 8
... ...
11111110 254
11111111 255

Data

Character/text/string data

each 8-bit combination (ie. each byte) is a code for a different character (letters, digits, punctuation symbols) in a text file (e.g. .txt, HTML, source code) using the ASCII code: A=01000001 a=01100001 ...
hello.txt has five characters so is five bytes in size.

A 2- or 3-byte code: Unicode has all the symbols of all human writing systems.

Numeric data

as in spreadsheets, databases. Mostly stored as 4 bytes per number.
Two types:

Integers (2's complement format)

whole numbers, positive and negative, for counting. Range from -2 billion to +2 billion (-2G—2G-1) 
 123: 00000000000000000000000001111011
-123: 11111111111111111111111110000101
Binary number: two digits are 0 and 1 (cf. decimal: ten digits 0..9).
columns(places) are powers of 2 (cf. decimal: columns are powers of ten)

Negate by complementing then adding 1.
8-byte long (64-bit) range from -64E to +64E

Real numbers (IEEE 754 floating-point format)

numbers with decimal point, for measurement. 
 123.0: 01000010111101100000000000000000
-123.0: 11000010111101100000000000000000
  1.98: 00111111111111010111000010100100
 -1.98: 10111111111111010111000010100100
 
Inf: 01111111100000000000000000000000
NaN: 01111111111111111111111111111111
8-byte double gives greater range and precision.
CPU ALU has separate circuitry for procesing integers and floating-point data.

Media files (image, sound/audio, video) are mostly (integer) numbers that represent the color and intensity/brightness of pixels/dots or pitch/frequency and loudness of sound.
Data files (e.g. spreadsheet, database) contain these numeric types of data.

Software

CPU/machine instructions are variable-lengthed complexly-coded bit strings.
Example (MIPS CPU [simple one]):

CPU/processor "knows how" to execute/do these instructions/"orders".
Software is a sequence of instructions flowing into the CPU for execution, telling CPU what operations to perform on what data.

Sizes

prefix Greek English either 103n or 210n
K kilo thousand 1,000 103 1,024 210 Ki
M mega million 1,000,000 106 1,048,576 220 Mi
G giga billion 1,000,000,000 109 1,073,741,824 230 Gi
T tera trillion 1,000,000,000,000 1012 1,099,511,627,776 240 Ti
P peta quadrillion 1,000,000,000,000,000 1015 ... 250 Pi
E exa quintillion 1,000,000,000,000,000,000 1018 ... 260 Ei
Z zetta sextillion ... 1021 ... 270 Zi
Y yotta septillion ... 1024 ... 280 Yi
m milli thousandth .001 10-3
μ micro millionth .000001 10-6
n nano billionth .000000001 10-9
File sizes:
This prefixTable.html file is about 9KB
Alice in Wonderland 148 KB
Bible 4.2 MB as a txt file.
Typical Word document: 20KB. Excel workbook: 15KB. Access database: 500KB
Typical digital photograph (JPEG): 1-10 MB
CD: 650-700 MB (74-80 mins audio)
Typical DVD 2-hour movie: 3 GB (of 4.7GB 1-side, 1-layer)
Typical Blu-ray 2-hour movie: 25 GB (of 50GB dual-layer)

Hardware storage capacities:
Installed RAM/(main, primary)memory on a new basic computer: a few GB
Size (storage capacity) of a hard disk / SSD drive: maybe 500 GB, or 1 TB
Windows Explorer | C drive (right click) | Properties
USB flash memory thumb drive: 1, 2, 4, 8, 16, 32, 64 GB (note: powers of 2)

Hz hertz: cycles per second = frequency. "ticks" per second. CPU has an internal metronome that pulses electricity, driving the rest of the circuitry; "speed" of the CPU.
Typical CPU clock rate: 2.2 GHz

bps bits per second: "speed" (bandwidth) of network.
Typical cabled (Ethernet): 100 Mbps or 1000Mbps=1Gbps (Gigabit)
Typical WiFi wireless: a few tens/hundreds Mbps
Typical Internet access (DSL, cable modem): a few Mbps; fiber optic: few 10s Mbps

s second: ms (milliseconds) μs (microseconds) ns (nanoseconds)
Light travels 300km in a ms, 300m in a μs, 30cm in a ns.
hard disk access: ~10ms. RAM access: ~50ns. Cache access: ~10ns.
ping (connectivity check) to LAN: a few ms; to "far" Internet: up to 500ms

1 K M G
inch 83' 15 miles 15,000 miles
m km 1000 km million km (moon and back)
ft2 ~badminton court 23 acres ~Ellipse DC 36 miles2 1.5*Manhattan
liter 1kg m3 1t ~50m pool (100m)3=million m3 ~1/3Pentagon
second 16min 11 days 31 years
bit
word 2 pages Bible
sheet paper
thickness 0.1 mm 		10 folds: 10.24 cm 20 folds: 106 m 30 folds: 107 km
sheet paper
area: m2 		10 folds: 10 cm2 20 folds: 1 mm2 30 folds: .001 mm2