1. Representing Data How does a computer represent data?
In a digital format (series of 1s and 0s == binary number system)
Bit - Each 1 or 0 in a digital format
Byte - Group of bits to represent one character

2. Why binary is important
It is the CPU’s native or machine language
Is directly understandable by a computer’s CPU
electric/

3. Number Systems Number Systems
Unlike the decimal system, the binary number system (base 2) uses only two digits 0, and 1
Bit(b) vs. Byte(B)
Bit
Data using technologies that can be set to one of two states
Byte
Group of eight bits
Number Systems

4. Number Systems
Decimal Number System
Binary Number System
100 1 20 1
101 10 21 2
102
100 22 4
103
1000 23 8
104
10000 24 16
105
100000 25 32 …. 26 64 27
128

5. Counting in Binary 0 = 00000000 1 = 00000001 2 = 00000010 3 = 00000011
Dec Bin
0 =
1 =
2 =
3 =
4 =
5 =
6 =
7 =
8 = …
254=
255=

6. Converting Binary to Decimal

7. Converting Binary to Decimal

8. How do we represent the number 0 1 0 0 1 1 1 1 as a decimal?
Let’s try another:
How do we represent the number as a decimal?

9. How do we represent the number 84 in binary?
Converting Decimal to Binary
How do we represent the number 84 in binary?
84 =

10. How do we represent the number 136 in binary?
Let’s try another:
How do we represent the number 136 in binary?