Binary Number Operations and Conversions

Binary Number Operations and Conversions

Assessment

Interactive Video

Created by

Mia Campbell

Mathematics

5th - 8th Grade

Hard

The video tutorial explains how to add multi-digit numbers in binary. It begins with an introduction to binary addition, followed by a detailed step-by-step process of adding binary numbers. The tutorial emphasizes the importance of carrying over digits, similar to decimal addition, and explains how to convert binary results back to decimal to verify accuracy. The example used involves adding the binary numbers 1011 and 111, resulting in a binary sum of 10010, which is verified as 18 in decimal.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in adding the binary numbers 1011 and 111?

Convert both numbers to decimal.

Add the digits in the ones place.

Multiply the numbers.

Subtract the smaller number from the larger one.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In binary addition, what do you do when the sum of two digits is 2?

Write 1 and carry 0.

Write 0 and carry 0.

Write 0 and carry 1.

Write 2 and carry 0.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the binary representation of the decimal number 3?

101

100

11

10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When adding 1 + 1 + 1 in binary, what is the result?

100

11

101

10

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the binary sum of 1011 and 111?

10100

11010

11100

10010

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the result of a binary addition?

By multiplying the result by 2.

By converting the result to hexadecimal.

By converting the numbers to decimal and checking the sum.

By subtracting the result from one of the original numbers.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal equivalent of the binary number 1011?

12

11

10

9

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal equivalent of the binary number 111?

8

7

6

5

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal equivalent of the binary result 10010?

18

17

16

19

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final verification step in binary addition?

Check if the binary result is even.

Ensure the binary result is a palindrome.

Verify the decimal sum matches the binary result.

Convert the binary result to octal.

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