Number System

Multiple Choice

What is binary number?

• 0 and 1

• 1 and 2

• 5 and 6

• 21 and31

Chapter:2 Number System
[Binary Number]

By Siddhik Karki

Chapter:2 Number System
[Binary Number]

By Siddhik Karki

​ What is Binary Number?
Binary numbers are the foundation of all digital systems, including computers and other digital devices. Unlike the decimal system, which is based on ten digits (0-9), the binary system uses only two digits: 0 and 1.

This simplicity makes it ideal for computers, as they operate using two states, often represented as "on" and "off," or 1 and 0. Binary numbers are written using the base-2 numeral system. Each digit in a binary number is known as a bit. By combining bits, we can represent any number or perform any calculation, just like we do with decimal numbers. Let’s dive into how binary arithmetic works!

​ Binary Addition Introduction:

Binary addition is similar to decimal addition but with only two digits, 0 and 1. - Rules of Binary Addition:
- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 0 = 1
- 1 + 1 = 10 (this means you carry 1 to the next higher bit)

Multiple Choice

What is the base of the binary number system?

• 2

• 10

• 8

• 16

Multiple Choice

Calculate the binary addition:
01
11

• 101
• 11
• 111
• 100

Multiple Choice

Calculate the binary addition:
1001
1011

• 10100
• 010101
• 011100
• 01010011

Multiple Choice

Calculate the binary addition:
1111
1011

• 110101
• 11110
• 11011
• 11010

Multiple Choice

Calculate the binary addition:
01111
11011

• 101010
• 11101001
• 11001011
• 1010101111

Multiple Choice

Calculate the binary addition:

• 10100100
• 10010100
• 11000100
• 01011110

Multiple Choice

Add binary numbers shown?

• 10010000
• 10001000
• 10000100
• 10100000

​ Binary Subtraction Introduction:

Binary subtraction follows a similar principle to decimal subtraction but incorporates the concept of *borrowing*.
- Rules of Binary Subtraction:
- 0 - 0 = 0
- 1 - 0 = 1
- 1 - 1 = 0
- 0 - 1 = 1 (borrow 1 from the next higher bit)

Multiple Choice

What is the value of

100011-1001

• 000000

• 1010

• 00101

• 101010

Multiple Choice

What is the value of

10101010-10101010

• 1

• 10010

• 0000

• 0011