Math unit7 number system and bases
Download as PPT, PDF•0 likes•550 views
This document contains 6 presentations on number systems and bases. It covers converting between binary and base 10, adding and subtracting binary numbers, binary multiplication, examples in base 5, and examples in base 7. Calculations are shown for converting between bases, adding, subtracting, and multiplying numbers in different bases.
Math unit7 number system and bases
- 1. Unit 7 Number Systems and Bases Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7
- 2. Unit 7 Number Systems and Bases Binary and Base 10
- 3. Convert the binary numbers 1011, 11001 and 100101 to base 10 numbers. 8 + 0 + 2 + 1 = 11 32 + 16 + 0 + 0 + 2 + 1 = 51 32 + 0 + 0 + 4 + 0 + 1 = 37 ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ??
- 4. Convert these base 10 numbers into binary numbers: 5 = 4 + 1 12 = 8 + 4 23 = 16 + 4 + 2 + 1 77 = 64 + 8 + 4 + 1 ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ??????????????
- 5. Unit 7 Number Systems and Bases You have finished viewing: Binary and Base 10 Return to front slide Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7
- 6. Unit 7 Number Systems and Bases Adding Binary Numbers
- 7. Key results with binary numbers Calculate, using these binary numbers 1 + 0 = 1 1 + 1 = 10 1 + 1 + 1 = 10 ?? ?? ?? 1 0 1 + 1 1 1 0 0 0 1 1 1 + 1 0 1 1 1 0 0 1 0 1 1 + 1 0 1 1 0 0 0 0 1 1 1 1 + 1 1 0 1 1 1 1 0 0 ?? ?? ?? ??
- 8. Unit 7 Number Systems and Bases You have finished viewing: Adding Binary Numbers Return to front slide Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7
- 9. Unit 7 Number Systems and Bases Subtracting Binary Numbers
- 10. Key results with binary numbers Calculate, using these binary numbers 1 - 0 = 1 10 - 1 = 1 11 - 1 = 10 ?? ?? ?? 1 1 1 - 1 0 1 1 0 1 1 0 1 1 - 1 0 1 0 1 0 0 0 1 1 0 1 1 - 1 0 1 1 0 0 1 0 0 1 - 1 1 1 1 0 ?? ?? ?? 1 1 1 0 - 1 1 1 1 1 1 1 0 0 1 1 - 1 0 1 0 1 0 0 1 ?? ?? ??
- 11. Unit 7 Number Systems and Bases You have finished viewing: Subtracting Binary Numbers Return to front slide Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7
- 12. Unit 7 Number Systems and Bases Binary Multiplication
- 13. Calculate, using these binary numbers 1 1 0 x 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 x 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 x 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 x 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 X 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 x 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ??
- 14. Unit 7 Number Systems and Bases You have finished viewing: Binary Multiplication Return to front slide Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7
- 15. Unit 7 Number Systems and Bases Examples in Base 5
- 16. Convert the base 5 numbers 124 and 1223 into base 10. Convert 152 from base 10 to base 5. 25 + 10 + 4 = 39 125 + 50 + 10 + 3 = 188 152 = 125 + 25 + 2 ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ??
- 17. Carry out the following base 5 calculations 4 1 + 2 2 1 1 3 1 2 x 2 4 2 4 0 1 0 3 3 4 3 1 0 4 3 + 1 2 3 1 2 2 4 1 4 4 x 2 3 3 4 3 0 1 0 4 2 1 0 0 2 2?? ?? ?? ???? ?? ?? ??
- 18. Unit 7 Number Systems and Bases You have finished viewing: Examples in Base 5 Return to front slide Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7
- 19. Unit 7 Number Systems and Bases Examples in Base 7
- 20. Convert 164 from base 7 to base 10 Convert 142 from base 10 to base 7 Carry out the following calculations in base 7: 49 + 42 + 4 = 95???? ?? ?? 142 = (2 x 49) + (6 x 7) + (2 x 1) ?? ?? ?? 1 4 + 2 3 4 0 3 4 x 1 2 3 4 0 1 0 1 4 4 1 4 6 x 3 4 2 0 4 0 2 5 3 2 3 2 2 1 4 3 + 2 2 5 4 0 1?? ?? ?? ?? ?? ?? ?? ??
- 21. Unit 7 Number Systems and Bases You have finished viewing: Examples in Base 7 Return to front slide Presentation 1 Binary and Base 10 Presentation 2 Adding Binary Numbers Presentation 3 Subtracting Binary Numbers Presentation 4 Binary Multiplication Presentation 5 Examples in Base 5 Presentation 6 Examples in Base 7