Understanding Binary Numbers and Conversions

This tutorial provides a quick and easy guide to understanding binary numbers. It explains the basic concept of binary, where numbers are represented using only two values: 0 and 1. The tutorial covers how to read binary numbers by assigning values based on their position and how to convert binary numbers to decimal. It also demonstrates a method for converting decimal numbers to binary using division by two. The video concludes with a verification process to ensure the accuracy of binary conversions.

What are the two possible values in a binary system?

• 0 and 1

• 1 and 2

• A and B

• True and False

In a binary number, what does each position represent?

• A power of 2

• A power of 10

• A power of 5

• A power of 3

How do you determine the decimal value of a binary number?

• Add the values of all positions

• Multiply all positions by 2

• Subtract the values of positions with a 0

• Add the values of positions with a 1

What is the decimal equivalent of the binary number 101?

• 6

• 7

• 5

• 8

What is the first step in converting a decimal number to binary?

• Subtract 2

• Divide by 2

• Multiply by 2

• Add 2

When dividing a decimal number by 2, what do you do if the number is odd?

• Divide by 3

• Multiply by 2

• Subtract 1 and divide

• Add 1 and divide

What is the binary representation of the decimal number 26?

• 10011

• 11100

• 10110

• 11010

How can you verify the binary conversion of a decimal number?

• By converting back to decimal

• By adding all binary digits

• By multiplying all binary digits

• By subtracting binary digits

What is the binary equivalent of the decimal number 13?

• 1110

• 1001

• 1011

• 1101

What is the purpose of subtracting 1 when converting an odd decimal number to binary?

• To simplify multiplication

• To decrease the binary value

• To increase the binary value

• To make it even for division