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Binary and other number bases. Base Ten This is what we are accustomed to. Digits go from 0 – 9 Headings are represented by powers of ten ThousandsHundredsTensOnes=

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Presentation on theme: "Binary and other number bases. Base Ten This is what we are accustomed to. Digits go from 0 – 9 Headings are represented by powers of ten ThousandsHundredsTensOnes="— Presentation transcript:

1 Binary and other number bases

2 Base Ten This is what we are accustomed to. Digits go from 0 – 9 Headings are represented by powers of ten ThousandsHundredsTensOnes= ,079

3 Other number bases Bases two- Binary Base five- Quinary Base eight- Octal Base sixteen - Hexadecimal Bases are named for their “headings.”

4 Base Two Uses only 1’s and 0’s Headings are in powers of two Headings Binary number

5 Base Two – converting to decimal Headings Binary number = = 76 Question: Convert to a decimal (base ten) number Answer:

6 Base Eight Uses digits from 1 to 7 Headings are in powers of eights Headings Binary number

7 Base Eight – converting to decimal Headings Binary number = = 94 Question: Convert to a decimal (base ten) number Answer:

8 Base Sixteen Uses digits from 1 to 9, and letters from A to F (10 to 15) Headings are in powers of 16’s 161 2B Headings Binary number

9 Base Eight – converting to decimal 161 2B Headings Binary number = = 43 Question: Convert 2B 16 to a decimal (base ten) number Answer:

10 Review: Binary to Decimal https://www.youtube.com/watch?v=UUqtjb8 WEUs https://www.youtube.com/watch?v=UUqtjb8 WEUs New: Converting a decimal to binary https://www.youtube.com/watch?v=qWxiXU0 2ZQM https://www.youtube.com/watch?v=qWxiXU0 2ZQM

11 Binary addition Basic rules = and carry 1 1 and carry 1

12 Binary addition example =11101 Carry’s Answer

13 Binary addition video https://www.youtube.com/watch?v=Cqs90dh w_E4 https://www.youtube.com/watch?v=Cqs90dh w_E4

14 Other binary BCD – Binary Coded Decimal Every digit of a number is represented using its 4-bit binary equivalent The number is not “converted,” instead each digit is given a “code”

15 0=0000 1=0001 2=0010 3=0011 4=0100 5=0101 6=0110 7=0111 8=1000 9=1001 A negative sign is represented by 1011

16 BCD exampl Convert 473 to binary coded decimal Answer: = We can separate the answer by spaces

17 BCD example 2 Convert -93 to SIGNED BCD Answer: =

18 Try this! What number does BCD represent? Answer: = Answer: 591


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