Rivalry2

HTML Diff

1 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>234 Learners</p>

1 + <p>260 Learners</p>

2 <p>Last updated on<strong>December 5, 2025</strong></p>

3 <p>We often encounter different number systems in computing, such as binary, decimal, octal, and hexadecimal. Each of these systems has its own base and is used for different purposes. Hexadecimal is a base-16 number system commonly used in computing and digital electronics because it is more compact and easier for humans to read compared to binary. Binary, being a base-2 system, is the fundamental language of computers, as it represents data using only two symbols: 0 and 1. Sometimes, we need to convert hexadecimal numbers to binary to perform various computations or understand data. In this topic, we will learn how to convert hexadecimal to binary.</p>

4 <h2>What is Hexadecimal?</h2>

5 <p>Hexadecimal is a<a>number system</a>with a<a>base</a><a>of</a>16. It includes the digits 0 through 9 and the letters A through F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.</p>

6 <p>This system is widely used in computing as a more human-friendly representation of binary-coded values.</p>

7 <p>Each hexadecimal digit represents four<a>binary digits</a>(bits), which makes it very efficient for representing large binary numbers.</p>

8 <h2>What is Binary?</h2>

9 <p>Binary is a base-2<a>number</a>system that uses only two digits: 0 and 1. It is the language of computers and digital systems, as it is straightforward to implement with electronic circuitry.</p>

10 <p>Each binary digit is known as a bit, which is the smallest unit of<a>data</a>in computing. Binary numbers are used to perform all sorts of operations inside a computer.</p>

11 <h2>What Is Hexadecimal to Binary Conversion?</h2>

12 <p>Hexadecimal to binary conversion is the process of changing a number written in the<strong>hexadecimal system (base 16)</strong>into the<strong>binary system (base 2)</strong>. Both number systems are widely used in computer science, digital electronics, and programming because they represent data in ways that computers can easily process.</p>

13 <p>The hexadecimal system uses the digits<strong>0-9</strong>and the letters<strong>A-F</strong>, while the binary system uses only<strong>0</strong>and<strong>1</strong>. Converting from hexadecimal to binary helps students understand how computers store and handle information at the most basic level.</p>

14 <p>Each hexadecimal digit corresponds directly to a<strong>4-bit binary group</strong>, making the conversion simple and systematic. To convert, you replace every hex digit with its equivalent 4-bit binary value.</p>

15 <p>This conversion is important when reading memory addresses, analyzing machine code, and working with low-level programming tasks where exact binary values matter. It helps students translate between human-readable formats and computer-readable formats.</p>

16 <h3>Explore Our Programs</h3>

17 - <p>No Courses Available</p>

18 <h2>Hexadecimal to Binary Conversion</h2>

17 <h2>Hexadecimal to Binary Conversion</h2>

19 <p>To convert hexadecimal to binary, each hexadecimal digit is replaced by its four-digit binary equivalent. This process is straightforward because hexadecimal is base-16, and binary is base-2.</p>

18 <p>To convert hexadecimal to binary, each hexadecimal digit is replaced by its four-digit binary equivalent. This process is straightforward because hexadecimal is base-16, and binary is base-2.</p>

20 <p>Since 16 is a<a>power</a>of 2 (specifically, 24), each hex digit translates directly to a group of four binary digits. For example: Hexadecimal "A" is 1010 in binary. Hexadecimal "1F" is 0001 1111 in binary.</p>

19 <p>Since 16 is a<a>power</a>of 2 (specifically, 24), each hex digit translates directly to a group of four binary digits. For example: Hexadecimal "A" is 1010 in binary. Hexadecimal "1F" is 0001 1111 in binary.</p>

21 <h2>How to Convert Hexadecimal to Binary?</h2>

20 <h2>How to Convert Hexadecimal to Binary?</h2>

22 <p>To convert hexadecimal to binary, each hexadecimal digit is replaced by its four-digit binary equivalent. This process is straightforward because hexadecimal is base-16, and binary is base-2.</p>

21 <p>To convert hexadecimal to binary, each hexadecimal digit is replaced by its four-digit binary equivalent. This process is straightforward because hexadecimal is base-16, and binary is base-2.</p>

23 <p>Since 16 is a power of 2 (specifically, 2⁴), each hex digit translates directly to a group of four binary digits.</p>

22 <p>Since 16 is a power of 2 (specifically, 2⁴), each hex digit translates directly to a group of four binary digits.</p>

24 <p><strong>For example:</strong>Hexadecimal<strong>"A"</strong>is<strong>1010</strong>in binary. Hexadecimal<strong>"1F"</strong>is<strong>0001 1111</strong>in binary.</p>

23 <p><strong>For example:</strong>Hexadecimal<strong>"A"</strong>is<strong>1010</strong>in binary. Hexadecimal<strong>"1F"</strong>is<strong>0001 1111</strong>in binary.</p>

25 <h3><strong>Step-by-Step Process to Convert Hexadecimal to Binary</strong></h3>

24 <h3><strong>Step-by-Step Process to Convert Hexadecimal to Binary</strong></h3>

26 <p><strong>Step 1:</strong>Write down the hexadecimal number.</p>

25 <p><strong>Step 1:</strong>Write down the hexadecimal number.</p>

27 <p><strong>Step 2:</strong>Replace each hexadecimal digit with its four-digit binary equivalent.</p>

26 <p><strong>Step 2:</strong>Replace each hexadecimal digit with its four-digit binary equivalent.</p>

28 <p><strong>Step 3:</strong>Combine all the binary groups to form the complete binary number.</p>

27 <p><strong>Step 3:</strong>Combine all the binary groups to form the complete binary number.</p>

29 <h2>Hexadecimal to Binary Conversion Chart</h2>

28 <h2>Hexadecimal to Binary Conversion Chart</h2>

30 <p>When working with hexadecimal and binary numbers, it is helpful to have a conversion chart handy. This chart shows the binary equivalents for hexadecimal digits from 0 to F. Below is a simple conversion chart to assist with hexadecimal to binary conversions.</p>

29 <p>When working with hexadecimal and binary numbers, it is helpful to have a conversion chart handy. This chart shows the binary equivalents for hexadecimal digits from 0 to F. Below is a simple conversion chart to assist with hexadecimal to binary conversions.</p>

31 <h2>Common Mistakes and How to Avoid Them in Hexadecimal to Binary Conversion</h2>

30 <h2>Common Mistakes and How to Avoid Them in Hexadecimal to Binary Conversion</h2>

32 <p>When converting hexadecimal to binary, people often make mistakes. Here are some common mistakes and how to avoid them to ensure accurate conversions.</p>

31 <p>When converting hexadecimal to binary, people often make mistakes. Here are some common mistakes and how to avoid them to ensure accurate conversions.</p>

33 <h3>Problem 1</h3>

32 <h3>Problem 1</h3>

34 <p>Convert hexadecimal 3A4 to binary</p>

33 <p>Convert hexadecimal 3A4 to binary</p>

35 <p>Okay, lets begin</p>

34 <p>Okay, lets begin</p>

36 <p>3A4 in hexadecimal is 0011 1010 0100 in binary.</p>

35 <p>3A4 in hexadecimal is 0011 1010 0100 in binary.</p>

37 <h3>Explanation</h3>

36 <h3>Explanation</h3>

38 <p>Each hex digit converts to binary: 3 (hex) is 0011 (binary), A (hex) is 1010 (binary), 4 (hex) is 0100 (binary). Thus, 3A4 (hex) is 0011 1010 0100 (binary).</p>

37 <p>Each hex digit converts to binary: 3 (hex) is 0011 (binary), A (hex) is 1010 (binary), 4 (hex) is 0100 (binary). Thus, 3A4 (hex) is 0011 1010 0100 (binary).</p>

39 <p>Well explained 👍</p>

38 <p>Well explained 👍</p>

40 <h3>Problem 2</h3>

39 <h3>Problem 2</h3>

41 <p>Convert hexadecimal 7F2 to binary.</p>

40 <p>Convert hexadecimal 7F2 to binary.</p>

42 <p>Okay, lets begin</p>

41 <p>Okay, lets begin</p>

43 <p>7F2 in hexadecimal is 0111 1111 0010 in binary.</p>

42 <p>7F2 in hexadecimal is 0111 1111 0010 in binary.</p>

44 <h3>Explanation</h3>

43 <h3>Explanation</h3>

45 <p>Each digit conversion: 7 (hex) is 0111 (binary), F (hex) is 1111 (binary), 2 (hex) is 0010 (binary). So, 7F2 (hex) is 0111 1111 0010 (binary).</p>

44 <p>Each digit conversion: 7 (hex) is 0111 (binary), F (hex) is 1111 (binary), 2 (hex) is 0010 (binary). So, 7F2 (hex) is 0111 1111 0010 (binary).</p>

46 <p>Well explained 👍</p>

45 <p>Well explained 👍</p>

47 <h3>Problem 3</h3>

46 <h3>Problem 3</h3>

48 <p>Convert hexadecimal 5D to binary.</p>

47 <p>Convert hexadecimal 5D to binary.</p>

49 <p>Okay, lets begin</p>

48 <p>Okay, lets begin</p>

50 <p>5D in hexadecimal is 0101 1101 in binary.</p>

49 <p>5D in hexadecimal is 0101 1101 in binary.</p>

51 <h3>Explanation</h3>

50 <h3>Explanation</h3>

52 <p>Each digit conversion: 5 (hex) is 0101 (binary), D (hex) is 1101 (binary). Thus, 5D (hex) is 0101 1101 (binary).</p>

51 <p>Each digit conversion: 5 (hex) is 0101 (binary), D (hex) is 1101 (binary). Thus, 5D (hex) is 0101 1101 (binary).</p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h3>Problem 4</h3>

53 <h3>Problem 4</h3>

55 <p>A Walmart store in Seattle is updating its digital price tags for the grocery aisles. The new system reads product category codes in hexadecimal. A box of cereal that costs $4.29 is assigned the hexadecimal code A3. To integrate it with the store’s digital scanner (which only reads binary), the manager needs to convert A3 (hex) to binary.</p>

54 <p>A Walmart store in Seattle is updating its digital price tags for the grocery aisles. The new system reads product category codes in hexadecimal. A box of cereal that costs $4.29 is assigned the hexadecimal code A3. To integrate it with the store’s digital scanner (which only reads binary), the manager needs to convert A3 (hex) to binary.</p>

56 <p>Okay, lets begin</p>

55 <p>Okay, lets begin</p>

57 <h3><strong>Solution:</strong></h3>

56 <h3><strong>Solution:</strong></h3>

58 <p>10100011</p>

57 <p>10100011</p>

59 <h3>Explanation</h3>

58 <h3>Explanation</h3>

60 <ul><li><p>Hexadecimal digits convert to binary using 4-bit groups.</p>

59 <ul><li><p>Hexadecimal digits convert to binary using 4-bit groups.</p>

61 </li>

60 </li>

62 <li><p>A = 10 → 1010</p>

61 <li><p>A = 10 → 1010</p>

63 </li>

62 </li>

64 <li><p>3 = 3 → 0011</p>

63 <li><p>3 = 3 → 0011</p>

65 </li>

64 </li>

66 <li><p>Combine: 1010 0011 →<strong>10100011</strong></p>

65 <li><p>Combine: 1010 0011 →<strong>10100011</strong></p>

67 </li>

66 </li>

68 </ul><p>This conversion helps Walmart ensure all grocery prices scan correctly, especially during rush hours after<strong>Seahawks (NFL)</strong>home games.</p>

67 </ul><p>This conversion helps Walmart ensure all grocery prices scan correctly, especially during rush hours after<strong>Seahawks (NFL)</strong>home games.</p>

69 <p>Well explained 👍</p>

68 <p>Well explained 👍</p>

70 <h3>Problem 5</h3>

69 <h3>Problem 5</h3>

71 <p>A research lab in Boston is testing a heart-rate monitoring device for NCAA sports physiology studies. The device receives medicine-dosage calibration codes in hexadecimal. A test uses the calibration code 4F, which must be converted to binary to program the device.</p>

70 <p>A research lab in Boston is testing a heart-rate monitoring device for NCAA sports physiology studies. The device receives medicine-dosage calibration codes in hexadecimal. A test uses the calibration code 4F, which must be converted to binary to program the device.</p>

72 <p>Okay, lets begin</p>

71 <p>Okay, lets begin</p>

73 <h3><strong>Solution:</strong></h3>

72 <h3><strong>Solution:</strong></h3>

74 <p>01001111</p>

73 <p>01001111</p>

75 <h3>Explanation</h3>

74 <h3>Explanation</h3>

76 <ul><li><p>4 → 0100</p>

75 <ul><li><p>4 → 0100</p>

77 </li>

76 </li>

78 <li><p>F (15) → 1111</p>

77 <li><p>F (15) → 1111</p>

79 </li>

78 </li>

80 <li><p>Combined binary:<strong>01001111</strong></p>

79 <li><p>Combined binary:<strong>01001111</strong></p>

81 </li>

80 </li>

82 </ul><p>Labs often switch between hex and binary because precision matters when monitoring athletes, especially during high-intensity simulations where the students compare training loads with professional<strong>NBA</strong>athletes.</p>

81 </ul><p>Labs often switch between hex and binary because precision matters when monitoring athletes, especially during high-intensity simulations where the students compare training loads with professional<strong>NBA</strong>athletes.</p>

83 <p>Well explained 👍</p>

82 <p>Well explained 👍</p>

84 <h3>Problem 6</h3>

83 <h3>Problem 6</h3>

85 <p>A startup in Los Angeles (LA) is developing smart EV chargers that show diagnostic information. One diagnostic signal representing gas-price comparison data (to show EV savings over paying $5.39/gal in LA) is stored as the hexadecimal code 9C. Before feeding it into the charger’s analytics system, engineers must convert 9C from hex to binary.</p>

84 <p>A startup in Los Angeles (LA) is developing smart EV chargers that show diagnostic information. One diagnostic signal representing gas-price comparison data (to show EV savings over paying $5.39/gal in LA) is stored as the hexadecimal code 9C. Before feeding it into the charger’s analytics system, engineers must convert 9C from hex to binary.</p>

86 <p>Okay, lets begin</p>

85 <p>Okay, lets begin</p>

87 <h3><strong>Solution:</strong></h3>

86 <h3><strong>Solution:</strong></h3>

88 <p>10011100</p>

87 <p>10011100</p>

89 <h3>Explanation</h3>

88 <h3>Explanation</h3>

90 <ul><li><p>9 → 1001</p>

89 <ul><li><p>9 → 1001</p>

91 </li>

90 </li>

92 <li><p>C (12) → 1100</p>

91 <li><p>C (12) → 1100</p>

93 </li>

92 </li>

94 <li><p>Combine:<strong>10011100</strong></p>

93 <li><p>Combine:<strong>10011100</strong></p>

95 </li>

94 </li>

96 </ul><p>This conversion helps the device process large data arrays, including comparisons of EV charging costs vs. gasoline prices in cities like<strong>San Francisco</strong>,<strong>Houston</strong>, and<strong>Miami</strong>.</p>

95 </ul><p>This conversion helps the device process large data arrays, including comparisons of EV charging costs vs. gasoline prices in cities like<strong>San Francisco</strong>,<strong>Houston</strong>, and<strong>Miami</strong>.</p>

97 <p>Well explained 👍</p>

96 <p>Well explained 👍</p>

98 <h2>FAQs on Hexadecimal to Binary</h2>

97 <h2>FAQs on Hexadecimal to Binary</h2>

99 <h3>1.How many binary digits are needed for one hexadecimal digit?</h3>

98 <h3>1.How many binary digits are needed for one hexadecimal digit?</h3>

100 <p>One hexadecimal digit is represented by exactly four binary digits (bits).</p>

99 <p>One hexadecimal digit is represented by exactly four binary digits (bits).</p>

101 <h3>2.What is the binary equivalent of hexadecimal 9?</h3>

100 <h3>2.What is the binary equivalent of hexadecimal 9?</h3>

102 <p>The binary equivalent of hexadecimal 9 is 1001.</p>

101 <p>The binary equivalent of hexadecimal 9 is 1001.</p>

103 <h3>3.Why use hexadecimal in computing?</h3>

102 <h3>3.Why use hexadecimal in computing?</h3>

104 <p>Hexadecimal is used in computing because it is more compact and easier to read than binary, while still being directly related to the binary system.</p>

103 <p>Hexadecimal is used in computing because it is more compact and easier to read than binary, while still being directly related to the binary system.</p>

105 <h3>4.How do I convert hexadecimal F to binary?</h3>

104 <h3>4.How do I convert hexadecimal F to binary?</h3>

106 <p>Hexadecimal F is equivalent to 1111 in binary.</p>

105 <p>Hexadecimal F is equivalent to 1111 in binary.</p>

107 <h2>Important Glossaries for Hexadecimal to Binary</h2>

106 <h2>Important Glossaries for Hexadecimal to Binary</h2>

108 <ul><li><strong>Conversion:</strong>The process of changing one representation into another, such as converting hexadecimal to binary.</li>

107 <ul><li><strong>Conversion:</strong>The process of changing one representation into another, such as converting hexadecimal to binary.</li>

109 </ul><ul><li><strong>Binary:</strong>A base-2 number system using only the digits 0 and 1, fundamental to computer systems.</li>

108 </ul><ul><li><strong>Binary:</strong>A base-2 number system using only the digits 0 and 1, fundamental to computer systems.</li>

110 </ul><ul><li><strong>Hexadecimal:</strong>A base-16 number system using the digits 0-9 and the letters A-F, commonly used in digital electronics.</li>

109 </ul><ul><li><strong>Hexadecimal:</strong>A base-16 number system using the digits 0-9 and the letters A-F, commonly used in digital electronics.</li>

111 </ul><ul><li><strong>Bit:</strong>A binary digit, the smallest unit of data in computing, representing 0 or 1.</li>

110 </ul><ul><li><strong>Bit:</strong>A binary digit, the smallest unit of data in computing, representing 0 or 1.</li>

112 </ul><ul><li><strong>Digit:</strong>A single character in a number system, such as a hexadecimal digit which can be 0-9 or A-F.</li>

111 </ul><ul><li><strong>Digit:</strong>A single character in a number system, such as a hexadecimal digit which can be 0-9 or A-F.</li>

113 </ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

112 </ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>

114 <p>▶</p>

113 <p>▶</p>

115 <h2>Seyed Ali Fathima S</h2>

114 <h2>Seyed Ali Fathima S</h2>

116 <h3>About the Author</h3>

115 <h3>About the Author</h3>

117 <p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>

116 <p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>

118 <h3>Fun Fact</h3>

117 <h3>Fun Fact</h3>

119 <p>: She has songs for each table which helps her to remember the tables</p>

118 <p>: She has songs for each table which helps her to remember the tables</p>