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Quizzes > Computers & IT

Binary Conversion Practice: Test Your Binary-to-Decimal Skills

Quick quiz for binary to decimal practice. Instant results.

Editorial: Review CompletedCreated By: Joanna ZhongUpdated Aug 23, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration showing binary code and decimal numbers framing quiz title on a dark blue background

This quiz helps you convert numbers between binary and decimal with quick checks on each item. Build accuracy and speed, get instant results, and go further with binary to decimal practice and binary practice problems; for a tougher set of binary questions.

Convert the binary number 1010 to its decimal equivalent.
5
10
12
8
The binary digits represent 2^3 through 2^0. 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10 in decimal. This conversion is foundational to binary arithmetic and computer operations.
What is the decimal equivalent of the binary number 111?
9
6
8
7
Binary 111 equals 1×4 + 1×2 + 1×1 = 7 in decimal. Each bit weight halves as you move right. This is a basic building block in understanding binary systems.
Convert the decimal number 5 to its binary equivalent.
101
010
111
100
Divide 5 by 2 repeatedly to get remainders 1, 0, 1 from bottom to top. Thus 5 in binary is 101. This method works for any positive integer conversion.
Convert the binary number 1001 to its decimal equivalent.
9
13
11
8
1001 = 1×8 + 0×4 + 0×2 + 1×1 = 9. Identifying each bit's weight clarifies the total. Mastery of this is critical for digital electronics.
What is the binary equivalent of the decimal number 2?
100
10
010
11
2 in binary is 10 because it equals 1×2 + 0×1. This simple conversion underpins counting in base-2. It's used in computer memory addressing.
Convert the decimal number 0 to its binary equivalent.
0
1
00
000
Zero remains zero in any base, so its binary form is simply 0. This is a key concept for understanding null values in computing. No further digits are needed.
What is the binary representation of the decimal number 7?
100
101
111
110
7 = 4 + 2 + 1, so its binary form is 111. Each bit contributes to the total sum. This pattern recurs in binary addition.
Convert the binary number 0011 to its decimal equivalent.
2
4
3
1
0011 = 0×8 + 0×4 + 1×2 + 1×1 = 3. Leading zeros do not affect the value. This helps in byte-alignment tasks in computing.
Convert the binary number 1101 to its decimal equivalent.
13
12
14
11
1101 = 1×8 + 1×4 + 0×2 + 1×1 = 13. Intermediate conversions like this are common in programming. Mastery ensures accurate data interpretation.
What is the binary equivalent of the decimal number 13?
1001
1110
1011
1101
13 /2 =6 R1, 6 /2=3 R0, 3 /2=1 R1, 1 /2=0 R1 gives 1101. This method scales to larger numbers.
What is the decimal value of the binary number 1000?
8
10
4
16
1000 in binary equals 1×2³ = 8. Recognizing powers of two is essential in system architecture.
Convert the decimal number 9 to its binary equivalent.
1010
0110
1001
0011
9 = 8 + 1, so bits for 2³ and 2? are set: 1001. This is widely used in network addressing.
What is the decimal equivalent of the binary fraction 0.1?
0.5
0.25
1.0
0.75
.1 in binary equals 1×(1/2) = 0.5. Binary fractions use negative powers of two. This is key in floating-point calculations.
What is the decimal equivalent of the binary fraction 0.001?
0.25
0.0625
0.375
0.125
.001? = 1×(1/8) = 0.125. Each position right of the point is 2?¹, 2?², etc. This concept underlies binary-coded decimals.
Convert the decimal number 6 to its binary equivalent.
011
100
110
101
6 = 4 + 2, so the bits are 1×2² + 1×2¹ + 0×2? = 110. This is used in control registers.
Which binary number represents the decimal number 15?
1011
1101
1110
1111
15 = 8+4+2+1, so binary is 1111. All lower-order bits are set. This appears often in bitmask operations.
Convert the binary fraction 101.101 to its decimal equivalent.
6.75
4.875
5.625
5.125
101? = 5, and .101? = 0.5 + 0 + 0.125 = 0.625. Combined value is 5.625. Fractional conversion uses negative powers of two.
What is the 8-bit two's complement representation of decimal -5?
11111101
11110101
11111001
11111011
Start with 00000101 for +5, invert bits to 11111010, then add 1 to get 11111011. Two's complement is standard for negative integers.
What is the result of adding the binary numbers 1011 and 1101?
10100
11110
10000
11000
Binary 1011 (11) + 1101 (13) = 24 decimal, which is 11000 in binary. Proper carry handling is key in binary addition.
Convert the binary number 11011011 to its decimal equivalent.
219
215
182
203
11011011 = 128+64+0+16+8+0+2+1 = 219. Each bit weight adds to the total. This is often used in byte-level operations.
Convert the decimal number 255 to an 8-bit binary number.
11111111
11111110
10000000
01111111
255 is the maximum value in an 8-bit field, so all bits are 1: 11111111. This is key in understanding color channels and masks.
What is the decimal equivalent of the binary number 10010?
20
16
18
22
10010 = 1×16 + 0×8 + 0×4 + 1×2 + 0×1 = 18. Recognizing bit positions simplifies large conversions.
Convert the binary fraction 111001.01 to its decimal equivalent.
57.5
57.25
56.25
58.125
111001? = 57, and .01? = 0.25, so total = 57.25. This combines integer and fractional conversions.
What is the two's complement of the 8-bit binary number 00101101?
10101101
11010011
11010101
11010010
Invert 00101101 to get 11010010, then add 1 to produce 11010011. This is how you represent negative values in binary.
In 16-bit two's complement, what decimal number does the binary 1111111111110101 represent?
-5
-11
5
11
Invert the bits to 0000000000001010 (10), add 1 to get 0000000000001011 (11), then apply negative sign = -11. Two's complement allows seamless negative arithmetic.
0
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Study Outcomes

  1. Understand the Binary Number System -

    Learn how to interpret binary digits by recognizing positional values and base-2 concepts essential for binary to decimal practice.

  2. Convert Binary to Decimal -

    Master step-by-step techniques to accurately translate binary numbers into their decimal equivalents.

  3. Convert Decimal to Binary -

    Apply proven decimal to binary practice methods to transform standard decimal numbers into binary form with precision and speed.

  4. Solve Binary Number Practice Problems -

    Engage with binary number practice problems to reinforce your skills through instant feedback and targeted challenges.

  5. Implement Efficient Conversion Strategies -

    Develop quick and reliable binary conversion practice techniques to tackle complex number system questions under timed conditions.

Cheat Sheet

  1. Positional Weights in Binary -

    Every binary digit represents a power of two, starting at 2^0 on the right (MIT OpenCourseWare). For example, 1101₂ = 1×2^3 + 1×2^2 + 0×2^1 + 1×2^0 = 13₝₀, so labeling each position's weight helps reinforce the concept when tackling binary number practice problems.

  2. Division-and-Remainder Method for Decimal to Binary -

    The standard algorithm repeatedly divides the decimal number by 2 and records remainders (referenced by Khan Academy). Converting 13 to binary gives remainders 1,0,1,1 read bottom-up: 1101₂, so practice this step-by-step for binary conversion practice and fluency.

  3. Grouping for Hexadecimal Conversions -

    Binary-to-hex conversion uses four-bit "nibbles" (IEEE Computer Society guideline), making it quick to translate between bases. For instance, 1010 1111₂ becomes AF₝₆ by converting each nibble: 1010 = A, 1111 = F, a trick useful in advanced binary to decimal practice.

  4. Understanding Two's Complement -

    Two's complement is the standard for signed binary (Computer Systems: A Programmer's Perspective, CMU). Invert all bits of 00000101 and add 1 to represent -5 as 11111011, so practice flipping and adding for negative values in binary numbers practice problems.

  5. Mnemonic Tricks and the 128 - 64 - 32 - 16 - 8 - 4 - 2 - 1 Table -

    Memorize the weights table "128 64 32 16 8 4 2 1" or use "Right To Left, Count Powers of Two" as a catchy phrase (University of Texas resource). Rehearsing this table speeds binary to decimal practice and decimal to binary practice, boosting speed and confidence.

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