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Division. Just as multiplication can be expressed as a series of additions, division can be seen as a series of subtractions. 21 ÷ 7 asks how many times.

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Presentation on theme: "Division. Just as multiplication can be expressed as a series of additions, division can be seen as a series of subtractions. 21 ÷ 7 asks how many times."— Presentation transcript:

1 Division

2 Just as multiplication can be expressed as a series of additions, division can be seen as a series of subtractions. 21 ÷ 7 asks how many times 7 can be subtracted from 21.

3 Division In Binary, subtraction is done by adding a negative value… So division is the repeated addition of a negative value.

4 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

5 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

6 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

7 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

8 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

9 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

10 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000 keep the carry bits

11 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

12 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

13 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

14 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000

15 Division 21 ÷ 7 = ? 21 00010101 700000111 + 11111001 11111000 1 00001110 + 1 + 11111001 -7 11111001 10 00000111 + 11111001 11 00000000 remainder quotient

16 Division This is integer division. It produces a quotient, and a remainder. Of course, the remainder won’t always be 0!


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