Mathematics

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

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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.

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1Convert the binary number 1010 to its decimal equivalent.
2What is the decimal equivalent of the binary number 111?
3Convert the decimal number 5 to its binary equivalent.
4Convert the binary number 1001 to its decimal equivalent.
5What is the binary equivalent of the decimal number 2?
6Convert the decimal number 0 to its binary equivalent.
7What is the binary representation of the decimal number 7?
8Convert the binary number 0011 to its decimal equivalent.
9Convert the binary number 1101 to its decimal equivalent.
10What is the binary equivalent of the decimal number 13?
11What is the decimal value of the binary number 1000?
12Convert the decimal number 9 to its binary equivalent.
13What is the decimal equivalent of the binary fraction 0.1?
14What is the decimal equivalent of the binary fraction 0.001?
15Convert the decimal number 6 to its binary equivalent.
16Which binary number represents the decimal number 15?
17Convert the binary fraction 101.101 to its decimal equivalent.
18What is the 8-bit two's complement representation of decimal -5?
19What is the result of adding the binary numbers 1011 and 1101?
20Convert the binary number 11011011 to its decimal equivalent.
21Convert the decimal number 255 to an 8-bit binary number.
22What is the decimal equivalent of the binary number 10010?
23Convert the binary fraction 111001.01 to its decimal equivalent.
24What is the two's complement of the 8-bit binary number 00101101?
25In 16-bit two's complement, what decimal number does the binary 1111111111110101 represent?
Learning Goals

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.

Study Guide

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: 1101â‚‚, 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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Updated Feb 18, 2026