Counting inCounting in

The Binary SystemThe Binary System

Base TwoBase Two

© RAM 2008

Place Value

1

256128 64 32 16 8 4 2 1

(2)

1tennextnext © RAM 2008

Place Value

1 0

256128 64 32 16 8 4 2 1

(2)

nextnext2ten © RAM 2008

Place Value

1 1

256128 64 32 16 8 4 2 1

(2)

3tennextnext © RAM 2008

Place Value

0 01

256128 64 32 16 8 4 2 1

(2)

4tennextnext © RAM 2008

Place Value

0 11

256128 64 32 16 8 4 2 1

(2)

5tennextnext © RAM 2008

256128 64 32 16 8 4 2 1

Place Value

1 01(2)

6tennextnext © RAM 2008

256128 64 32 16 8 4 2 1

Place Value

1 11(2)

7tennextnext © RAM 2008

256128 64 32 16 8 4 2 1

Place Value

0 001(2)

nextnext8ten © RAM 2008

256128 64 32 16 8 4 2 1

Place Value

0 101(2)

nextnext9ten © RAM 2008

256128 64 32 16 8 4 2 1

Place Value

1 001(2)

10ten© RAM 2008nextnext

256128 64 32 16 8 4 2 1

Place Value

1 101(2)

11ten© RAM 2008nextnext

256128 64 32 16 8 4 2 1

Place Value

0 011(2)

12ten© RAM 2008nextnext

256128 64 32 16 8 4 2 1

Place Value

0 111(2)

13ten © RAM 2008nextnext

256128 64 32 16 8 4 2 1

Place Value

1 011(2)

© RAM 2008nextnext14ten

256128 64 32 16 8 4 2 1

Place Value

1 111(2)

© RAM 2008nextnext15ten

256128 64 32 16 8 4 2 1

Place Value

0 000(2)

1

© RAM 2008nextnext16ten

256128 64 32 16 8 4 2 1

Place Value

0 100(2)

1

© RAM 2008nextnext17ten

256128 64 32 16 8 4 2 1

Place Value

1 000(2)

1

© RAM 2008nextnext18ten

256128 64 32 16 8 4 2 1

Place Value

1 100(2)

1

© RAM 2008nextnext19ten

256128 64 32 16 8 4 2 1

Place Value

0 010(2)

1

© RAM 2008nextnext20ten

256128 64 32 16 8 4 2 1

Place Value

0 110(2)

1

© RAM 2008nextnext21ten

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

1

© RAM 2008nextnext22ten

256128 64 32 16 8 4 2 1

Place Value

1 110(2)

1

© RAM 2008nextnext23ten

256128 64 32 16 8 4 2 1

Place Value

0 001(2)

1

© RAM 2008nextnext24ten

256128 64 32 16 8 4 2 1

Place Value

0 101(2)

1

© RAM 2008nextnext25ten

256128 64 32 16 8 4 2 1

Place Value

1 001(2)

1

© RAM 2008nextnext26ten

256128 64 32 16 8 4 2 1

Place Value

1 101(2)

1

© RAM 2008nextnext27ten

256128 64 32 16 8 4 2 1

Place Value

0 011(2)

1

© RAM 2008nextnext28ten

256128 64 32 16 8 4 2 1

Place Value

1 101(2)

1

© RAM 2008nextnext29ten

256128 64 32 16 8 4 2 1

Place Value

1 011(2)

1

© RAM 2008nextnext30ten

256128 64 32 16 8 4 2 1

Place Value

1 111(2)

1

© RAM 2008nextnext31ten

256128 64 32 16 8 4 2 1

Place Value

0 000(2)

01

© RAM 2008nextnext32ten

256128 64 32 16 8 4 2 1

Place Value

0 100(2)

01

© RAM 2008nextnext33ten

256128 64 32 16 8 4 2 1

Place Value

1 000(2)

01

© RAM 2008nextnext34ten

Time to internalize

Counting in Base Two

Time to internalize

Counting in Base Two

© RAM 2008

Find the Base 10 number.

Find the Base 10 number.

© RAM 2008

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

01

© RAM 2008nextnext

ten38

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

11

© RAM 2008nextnext

ten53

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

00

© RAM 2008nextnext

ten70

1

256128 64 32 16 8 4 2 1

Place Value

1 110(2)

10

© RAM 2008nextnext

ten87

1

256128 64 32 16 8 4 2 1

Place Value

0 110(2)

11

© RAM 2008nextnext

ten117

1

256128 64 32 16 8 4 2 1

Place Value

0 110(2)

10

© RAM 2008nextnext

ten85

1

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

00

© RAM 2008nextnext

ten134

01

256128 64 32 16 8 4 2 1

Place Value

0 101(2)

01

© RAM 2008nextnext

ten169

01

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

10

© RAM 2008nextnext

ten278

001

256128 64 32 16 8 4 2 1

Place Value

1 010(2)

00

© RAM 2008nextnext

ten390

011