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## JSS3: MATHEMATICS - 1ST TERM

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Lesson 2, Topic 4
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# Binary Arithmetic Operations – Multiplication

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#### Topic Content:

• Binary Arithmetic Operations – Multiplication

Multiplication in binary is exactly as it is in decimal.

The four major steps in binary digit multiplication are:

0 × 0 = 0
0 × 1 = 0
1 × 0 = 0
1 × 1 = 1 (No borrow or carry method is applicable here)

### Worked Example 2.4.1:

Solve the following:

a. Find the product of 1101two and 111two
b. Multiply 11.01two by 1.1two
c. 111two × 110two
d. 111two  × 111two
e. 11101two × 110two

Solution

a. Find the product of 1101two and 111two

1st Column (from right to left) = 1 + 0 = 1. 1 is less than 2, We write down 1.

2nd Column = 0 + 1 = 1. We write down 1.

3rd Column = 1 + 0 + 1 = 2. How many twos are there in 2? $$\frac{2}{2}$$ = 1 remainder 0. Write 0 and carry 1 to column 4.

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