Unit 7Number Systems and Bases

Presentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7

Unit 7Number Systems and BasesBinary and Base 10

Convert the binary numbers 1011, 11001 and 100101 to base 10 numbers.8 + 0 + 2 + 1 = 1132 + 16 + 0 + 0 + 2 + 1 = 5132 + 0 + 0 + 4 + 0 + 1 = 37???????????????????

Convert these base 10 numbers into binary numbers:5 = 4 + 112 = 8 + 423 = 16 + 4 + 2 + 1= 64 + 8 + 4 + 1?????????????????????

Unit 7Number Systems and BasesYou have finished viewing: Binary and Base 10

Return to front slidePresentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7

Unit 7Number Systems and BasesAdding Binary Numbers

Key results with binary numbers

Calculate, using these binary numbers1 + 0 = 11 + 1 = 101 + 1 + 1 = 10???????

101+111000

111+1011100

1011+10110000

1111+110111100

Unit 7Number Systems and BasesYou have finished viewing:Adding Binary Numbers

Return to front slidePresentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7

Unit 7Number Systems and BasesSubtracting Binary Numbers

Key results with binary numbers

Calculate, using these binary numbers1 - 0 = 110 - 1 = 111 - 1 = 10?????????

111-10110

11011-101010001

1011-101100

1001-11110

1110-111111

10011-10101001

Unit 7Number Systems and BasesYou have finished viewing:Subtracting Binary Numbers

Return to front slidePresentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7

Unit 7Number Systems and BasesBinary Multiplication

Calculate, using these binary numbers???????????????????

110x11110011011010

111x11111011110101

1101x110110100110101101110

1111x110111100111101011010

1101X10111010011011100001

10110x11110110001011001011110011011

Unit 7Number Systems and BasesYou have finished viewing:Binary Multiplication

Return to front slidePresentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7

Unit 7Number Systems and BasesExamples 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 = 39125 + 50 + 10 + 3 = 188152 = 125 + 25 + 2?????????????

Carry out the following base 5 calculations????????

41+22113

12x24240103343

1043+1231224

144x233430104210022

Unit 7Number Systems and BasesYou have finished viewing:Examples in Base 5

Return to front slidePresentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7

Unit 7Number Systems and BasesExamples 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)???????????

14+2340

34x12340101441

46x3420402532322

143+225401

Unit 7Number Systems and BasesYou have finished viewing:Examples in Base 7

Return to front slidePresentation 1Binary and Base 10Presentation 2Adding Binary NumbersPresentation 3Subtracting Binary NumbersPresentation 4Binary MultiplicationPresentation 5Examples in Base 5Presentation 6Examples in Base 7