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Quizzes > Computers & Technology > Programming & Software

Test Your Decimal to Binary Conversion Skills Now!

Ready to tackle binary conversion practice problems? Let's go!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration showing binary digits and decimal numbers for free binary conversion quiz on a sky blue background.

Use this Binary to Decimal Practice Quiz to convert binary numbers to base-10 and build speed and accuracy. Problems range from easy to hard and use clean, small numbers; for a broader mix, try more binary problems or start with a shorter warm-up.

Convert the binary number 1010 to its decimal equivalent.
10
6
12
8
To convert 1010? to decimal, multiply each bit by 2 raised to its position index: 1·2³ + 0·2² + 1·2¹ + 0·2? = 8 + 0 + 2 + 0 = 10. This binary-to-decimal conversion is fundamental in computing. You can practice more examples at .
What is the decimal value of the binary number 1111?
14
15
13
16
Binary 1111? equals 1·2³ + 1·2² + 1·2¹ + 1·2? = 8 + 4 + 2 + 1 = 15. Every bit contributes its positional value when set to 1. For more on binary place values, see .
Convert 1001 (in binary) to decimal.
8
9
11
10
The binary number 1001? equals 1·2³ + 0·2² + 0·2¹ + 1·2? = 8 + 0 + 0 + 1 = 9. Each '1' bit indicates inclusion of that power of two. For step-by-step practice, refer to .
What is the decimal equivalent of the binary number 110?
6
4
7
5
Convert 110? by computing 1·2² + 1·2¹ + 0·2? = 4 + 2 + 0 = 6. This illustrates how each binary digit maps to a power of two. More examples are available at .
Convert the binary number 10110 to decimal.
22
20
24
18
10110? equals 1·2? + 0·2³ + 1·2² + 1·2¹ + 0·2? = 16 + 0 + 4 + 2 + 0 = 22. Understanding positional weights for each bit is key. For further reading, check .
What decimal number does binary 10011 represent?
19
21
17
23
Compute 10011?: 1·2? + 0·2³ + 0·2² + 1·2¹ + 1·2? = 16 + 0 + 0 + 2 + 1 = 19. Breaking bits by weight simplifies conversion. More details at .
Convert 11100 from binary to decimal.
24
28
30
26
11100? equals 1·2? + 1·2³ + 1·2² + 0·2¹ + 0·2? = 16 + 8 + 4 + 0 + 0 = 28. Each '1' indicates inclusion of that power of two. For practice exercises, visit .
What is the decimal equivalent of binary 10101?
23
19
20
21
To convert 10101?: 1·2? + 0·2³ + 1·2² + 0·2¹ + 1·2? = 16 + 0 + 4 + 0 + 1 = 21. Summing the weights of set bits yields the result. Read more at .
Convert the binary number 110101 to its decimal equivalent.
49
55
53
51
110101? = 1·2? + 1·2? + 0·2³ + 1·2² + 0·2¹ + 1·2? = 32 + 16 + 0 + 4 + 0 + 1 = 53. Handling six-bit numbers follows the same positional rule. For advanced examples, see .
What is the decimal value of binary 1001110?
82
76
74
78
1001110? = 1·2? + 0·2? + 0·2? + 1·2³ + 1·2² + 1·2¹ + 0·2? = 64 + 0 + 0 + 8 + 4 + 2 + 0 = 78. This method scales to any bit-length. More on binary arithmetic at .
Convert 1110111 from binary to decimal.
121
115
119
117
1110111? equals 1·2? + 1·2? + 1·2? + 0·2³ + 1·2² + 1·2¹ + 1·2? = 64 + 32 + 16 + 0 + 4 + 2 + 1 = 119. Summing the weighted bits is standard practice. See for more.
What decimal number does binary 10110011 represent?
179
181
175
177
10110011? = 1·2? + 0·2? + 1·2? + 1·2? + 0·2³ + 0·2² + 1·2¹ + 1·2? = 128 + 0 + 32 + 16 + 0 + 0 + 2 + 1 = 179. Converting eight-bit numbers follows the same approach. More examples at .
Convert the binary number 1101101011 to decimal.
867
875
859
881
1101101011? = 1·2? + 1·2? + 0·2? + 1·2? + 1·2? + 0·2? + 1·2³ + 0·2² + 1·2¹ + 1·2? = 512+256+0+64+32+0+8+0+2+1 = 875. This illustrates conversion of large binary sequences. For deeper theory, visit .
What is the decimal equivalent of the binary number 11110101101?
1965
1985
1945
1955
11110101101? = 1·2¹? + 1·2? + 1·2? + 1·2? + 0·2? + 1·2? + 0·2? + 1·2³ + 1·2² + 0·2¹ + 1·2? = 1024+512+256+128+0+32+0+8+4+0+1 = 1965. Large binary-to-decimal conversions follow the same pattern. See for tools.
0
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Study Outcomes

  1. Understand Binary Place Values -

    Grasp how each bit represents a power of two to accurately perform binary to decimal practice and build a solid foundation for number conversions.

  2. Apply Conversion Techniques -

    Use step-by-step methods to convert numbers between decimal and binary formats, reinforcing your decimal to binary practice through hands-on exercises.

  3. Analyze Common Errors -

    Identify and correct mistakes in typical binary conversion practice problems, improving accuracy and speed in your binary conversion practice.

  4. Enhance Coding Confidence -

    Build confidence by tackling progressively challenging quiz questions with instant feedback, strengthening your binary to decimal practice skills.

  5. Reinforce Key Computing Concepts -

    Deepen your understanding of binary logic and data representation, linking theoretical concepts to practical binary to decimal practice tasks.

Cheat Sheet

  1. Understanding Positional Value -

    At the core of binary to decimal practice is positional notation: each digit in a binary number represents a power of two. For example, 1011₂ equals 1×2³ + 0×2² + 1×2¹ + 1×2❰, which sums to 11₝₀ (Source: MIT OpenCourseWare).

  2. Division-by-2 Method for Decimal to Binary -

    In decimal to binary practice, repeatedly divide the decimal number by 2 and record remainders to build the binary result from bottom to top. For instance, converting 13₝₀: 13÷2→6 r1, 6÷2→3 r0, 3÷2→1 r1, 1÷2→0 r1 gives 1101₂ (Source: Khan Academy).

  3. Quick Bit-Weight Table Mnemonic -

    Create a simple table of bit weights (1, 2, 4, 8, 16, …) and use the phrase "My Big Cat Always Deals" to remember 1, 2, 4, 8, 16 sequentially. Match each binary digit to that weight to convert fast: 10010₂ → 16 + 2 = 18₝₀ (Source: University of Cambridge).

  4. Spotting Common Binary Patterns -

    Memorize frequent patterns like 1111₂ = 15₝₀ or 10000₂ = 16₝₀ to speed up binary conversion practice problems. Recognizing these building blocks reduces calculation steps and boosts conversion speed (Source: IEEE Computation Journal).

  5. Applying Conversions in Real-World Contexts -

    Link your binary conversion skills to computer memory addressing and network masks, for instance, IPv4's 255.255.255.0 is 11111111.11111111.11111111.00000000₂, illustrating practical relevance (Source: NIST).

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