Download presentation

Presentation is loading. Please wait.

Published byPierre Crawford Modified over 2 years ago

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

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google