Digital Electronics

Let's play with digital electronics! sounds like weird but it's fun! Let's say computer is intelligent but it only know the number 0 and 1. LoL Child also know the number after 1. so? Have fun!


First of all, why digital?
in electronics, a differentiation is made between basic forms of signal processing: analog and digital.


Analog (continuous system)
-analog computers, radio, stereo, analog multimeters.


Digital (discrete system)
-digital computers, digital tape recording, microprocessor, digital multimeters.


Real World System --> Analog-to-Digital Converter --> Digital System
                 <------------------------------------------------------

Real world tend to be continuous in nature. Thus, continuous information needs to converted into digital information in order to be processed by a digital system.


NUMBER SYSTEMS

Decimal	binary	octal	Hexadecimal
0	0000	0	0
1	0001	1	1
2	0010	2	2
3	0011	3	3
4	0100	4	4
5	0101	5	5
6	0110	6	6
7	0111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F

Conversions

• dec --> bin

17₁₀ = 10001₂

2	17
2	8	1
2	4	0
2	2	0
2	1	0
2	0	1

• bin --> dec

10001₂ = (1x2⁴+1x2⁰)

   = 17₁₀

• dec --> octal

266₁₀ = 412₂

8	266
8	33	2
8	4	1
	0	4

• octal --> dec

372₈    = (3x8²+7x8¹+2x8⁰)

    = 250₁₀

• dec -->hex

423₁₀ = 1A7₁₆

16	423
16	26	7
16	1	10
	0	1

• hex --> dec

356₁₆ = (3x16²+5x16¹+6x16⁰)

   = 854₁₀