#### 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 1101_{two} and 111_{two}**b.** Multiply 11.01_{two} by 1.1_{two}**c. **111_{two} × 110_{two}**d.** 111_{two} × 111_{two}**e. **11101_{two} × 110_{two}

**Solution**

**a. **Find the product of 1101_{two} and 111_{two}

**Explanation on addition**

**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.

You are viewing an excerpt of this Topic. Subscribe Now to get **Full Access** to **ALL** this Subject's Topics and Quizzes for this Term!

Click on the button **"Subscribe Now"** below for Full Access!

### Subscribe Now

**Note:** If you have **Already Subscribed** and you are seeing this message, it means you are logged out. Please **Log In** using the **Login Button Below** to **Carry on Studying!
**

## Responses