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ROM CPU CMOS HARD DRIVE RAM

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Page 1: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

ROM

CPUCMOS

HARD DRIVE RAM

Page 2: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

RAM

POWER

onon on onoff off off off

1 bit8 bits = 1 byte

Page 3: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

POWER

RAM

onon on onoff off off off1 1 1 10 0 0 0

Page 4: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

1 1 1 10 0 0 0

Binary Numbers!

Page 5: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

294,901,632$ .00Decimal System: How we express numbers

Base Ten 2 ones3 tens

6 hundreds

1 thousands0 ten thousands

9 hundred thousands4 millions

9 ten millions2 hundred million

294,901,632

Page 6: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

100,000,000100,000,000 10,000,00010,000,000 1,000,0001,000,000 100,000100,000 10,00010,000 1,0001,000 100100 1010 11

22 99 44 99 00 11 66 33 22

294,901,632

294,901,632

100,000,000 * 2 200,000,00010,000,000 * 9 90,000,000

1,000,000 * 4 4,000,000

100,000 * 9 900,000

10,000 * 0 0

1,000 * 1 1,000100 *6 600

10*3 30

1*2 2

Page 7: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

Binary Numbers – same concept, base two

Decimal Numbers – base ten 100,000,000100,000,000 10,000,00010,000,000 1,000,0001,000,000 100,000100,000 10,00010,000 1,0001,000 100100 1010 11

10*10*10,000,00010,000,000

10*10*1,000,0001,000,000

10*100,00010*100,000 10*10,00010*10,000 10* 1,00010* 1,000 10*10010*100 10*1010*10 10* 110* 1 11

256256 128128 6464 3232 1616 88 44 22 11

2*1282*128 2*642*64 2*322*32 2*162*16 2*82*8 2*42*4 2*22*2 2*12*1 11

Page 8: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

128128 6464 3232 1616 88 44 22 11

00 11 =1=1

11 00 =2=2

11 11 =3=3

11 00 00 =4=4

11 00 11 =5=5

11 11 00 =6=6

11 11 11 =7=7

11 00 00 00 =8=8

11 00 00 11 =9=9

256256 128128 6464 3232 1616 88 44 22 11

2*1282*128 2*642*64 2*322*32 2*162*16 2*82*8 2*42*4 2*22*2 2*12*1 11

Page 9: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

0 1 1 1 0 0 1 0

6464 3232 1616 88 44 22 11

11 11 11 00 00 11 00

1 twos0 ones

0 fours

0 eights

1 sixteen1 thirty-two

1 sixty-four

64 Plus 32 Plus 16 Plus 2 = 114

CPTRoom: 1 1 1 1 1 0 1 1 1

- 0 0 0 0 0 0 1 1

Page 10: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

128128 6464 3232 1616 88 44 22 11

00 11 11 11 00 00 11 00

128 * 0 064 *1 64

32 *1 32

16 * 1 16

8 * 0 0

4 * 0 02 * 1 2

1 *0 0

0 1 1 1 0 0 1 0

114

Page 11: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

128128 6464 3232 1616 88 44 22 11

11 00 00 00 11 11 11 11

143

00 00 00 00 11 11 11 11

11 00 00 00 00 00 11 00

00 00 11 00 00 11 00 11

11 11 11 11 11 11 11 11

15

130

37

255

+ 1 is what?

00 00 00 00 00 00 001

Page 12: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

There are only 10 (base2) types of people in the world: those who understand binaryand those who don’t.

Decimal to Binary: What is the largest power of two that will go into our number?

128128 6464 3232 1616 88 44 22 11

no no no no no yes

5 -4 = 1

no yes

11 00 11

128128 6464 3232 1616 88 44 22 11

no no no noyes yes yes yes

114-64 = 50 50-32 = 18 18-16 = 2 2-2 = 0

6464 3232 1616 88 44 22 11

11 11 11 00 00 11 00

64 + 32 + 16 + 2 = 114

Page 13: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

19

Decimal to Binary: What is the largest power of two that will go into our number?

128128 6464 3232 1616 88 44 22 11

128128 6464 3232 1616 88 44 22 1146

178128128 6464 3232 1616 88 44 22 11

204128128 6464 3232 1616 88 44 22 11

11 00 00 11 11

11 00 11 11 11 00

11 00 11 11 00 00 11 00

11 11 00 00 11 11 00 00

Page 14: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

Binary Addition: 0 plus 0 = 0, 1 plus 0 = 1, 1 plus 1 = 10 (two)

1 0+ 1 0

1 0 0

1 1 1 0+ 1 0 1 0

128128 6464 3232 1616 88 44 22 11

1 1 0 0 0

Page 15: ROM CPU CMOS HARD DRIVERAM. POWER on off 1 bit 8 bits = 1 byte

1 0 1 1 1 1+   1 0 0 1 1

Binary Addition

1 1 1 1 0 0+ 1 1 1 1 0 1

1 1 1+ 1 0 1

1 1 0 0

1 0 0 0 0 1 0

1 1 1 1 0 0 1

Remember: 1 + 0 = 1. 1 + 1 = 10. 0 + 0 = 0. 1 + 1 + 1 = 11


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