240 likes | 273 Views
Unit 7 Number Systems and Bases. Unit 7 Number Systems and Bases. Binary and Base 10. Convert the binary numbers 1011, 11001 and 100101 to base 10 numbers. 8 + 0 + 2 + 1 = 11. ?. ?. ?. ?. ?. 32 + 16 + 0 + 0 + 2 + 1 = 51. ?. ?. ?. ?. ?. ?. ?.
E N D
Unit 7Number Systems and Bases Binary and Base 10
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 ? ? ? ? ? ? ?
Convert these base 10 numbers into binary numbers: 5 = 4 + 1 ? ? ? 12 = 8 + 4 ? ? ? ? 23 = 16 + 4 + 2 + 1 ? ? ? ? ? ? • = 64 + 8 + 4 + 1 ? ? ? ? ? ? ? ?
Unit 7Number Systems and Bases You have finished viewing: Binary and Base 10
Unit 7Number Systems and Bases Adding Binary Numbers
Key results with binary numbers Calculate, using these binary numbers 1 + 0 = 1 ? 1 + 1 = 10 ? 1 + 1 + 1 = 10 ? ? ? ? ?
Unit 7Number Systems and Bases You have finished viewing: Adding Binary Numbers
Unit 7Number Systems and Bases Subtracting Binary Numbers
Key results with binary numbers Calculate, using these binary numbers 1 - 0 = 1 ? 10 - 1 = 1 ? 11 - 1 = 10 ? ? ? ? ? ? ?
Unit 7Number Systems and Bases You have finished viewing: Subtracting Binary Numbers
Unit 7Number Systems and Bases Binary Multiplication
Calculate, using these binary numbers ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Unit 7Number Systems and Bases You have finished viewing: Binary Multiplication
Unit 7Number Systems and Bases Examples in Base 5
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 ? ? ? ?
Carry out the following base 5 calculations ? ? ? ? ? ? ? ?
Unit 7Number Systems and Bases You have finished viewing: Examples in Base 5
Unit 7Number Systems and Bases Examples in Base 7
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) ? ? ? ? ? ? ? ? ? ? ?
Unit 7Number Systems and Bases You have finished viewing: Examples in Base 7