Ready to test your skills? Dive into our free binary number quiz and join fellow tech explorers eager to learn binary numbers. This interactive binary quiz online challenges you with conversion puzzles and digital code scenarios, turning each question into a fun learning opportunity. Put your knowledge to the test with a quick binary numbers test, sharpen your mind on real-world examples, and decode bits in our engaging binary code quiz. Tackle hands-on binary questions or dive deeper with targeted binary to decimal practice . Ready to ace every bit? Click below to begin!
Convert binary 1010 to decimal.
10
9
12
8
Binary is a base-2 system using powers of two. The bits in 1010 represent 2³, 2², 2¹, and 2? positions. Calculating 1×8 + 0×4 + 1×2 + 0×1 gives 10 in decimal. Learn more.
Convert decimal 13 to binary.
1101
1011
1110
1001
To convert decimal to binary, divide by 2 and record remainders. 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1. Reading remainders from last to first gives 1101. See conversion steps.
What is a binary digit called?
Bit
Byte
Nibble
Word
A single 0 or 1 in the binary system is called a bit, short for "binary digit." Eight bits make a byte, four bits a nibble, and multiple bytes form words. Bits are the fundamental units of digital data. More about bits.
What does MSB stand for in binary data?
Most Significant Bit
Maximum Sensible Bit
Main Sequence Byte
Minimum Sign Bit
MSB stands for Most Significant Bit, which is the bit in a binary number that holds the highest value place. In an 8-bit number, the MSB represents 2?. It determines the largest portion of the total value. More on MSB.
Convert binary 1111 to decimal.
15
14
16
8
1111 in binary represents 1×2³ + 1×2² + 1×2¹ + 1×2? = 8 + 4 + 2 + 1 = 15. This is the maximum value for a 4-bit number. Each place value doubles as you move left. Binary to decimal details.
What is the base of the binary number system?
2
8
10
16
Binary is base-2, meaning it uses two symbols: 0 and 1. Each position represents a power of two, starting at 2?. Common systems like octal and hexadecimal use bases of 8 and 16 respectively. Read more about binary.
Convert decimal 2 to binary.
10
11
01
100
2 in decimal equals 1×2¹ + 0×2?, which is written as 10 in binary. The '1' occupies the 2¹ place and '0' occupies the 2? place. This is the simplest non-trivial binary number. Conversion guide.
How many bits are in one byte?
8
4
16
2
A byte consists of 8 bits. It's the standard unit for encoding a single character of text in computer systems. Grouping bits into bytes allows for efficient storage and processing. More on bytes.
What is the sum of binary numbers 1101 and 1011?
11000
11100
10100
10010
Adding 1101 (13) and 1011 (11) bit by bit yields 11000 (24). You carry over when the sum exceeds 1, similar to decimal addition. This result spans five bits rather than four. Binary addition explained.
What is the result of binary subtraction 1010 minus 0011?
0111
1001
0101
1111
1010 (10) minus 0011 (3) yields 0111 (7). Subtraction uses borrowing across bit positions when needed. The result remains in four bits here. Learn binary subtraction.
What is the result of the bitwise AND operation on 1101 and 1010?
1000
1001
1100
0101
Bitwise AND compares each bit: 1 AND 1 = 1, otherwise 0. For 1101 & 1010, only the first bit matches, yielding 1000. AND filters bits common to both operands. More on bitwise AND.
What is the result of the bitwise OR operation on 1100 and 1010?
1110
1111
1000
0110
OR sets a bit to 1 if at least one operand has 1 in that position. For 1100 | 1010, you get 1110. OR combines bits to preserve any ones. Bitwise OR details.
What is the result of the bitwise XOR operation on 1001 and 1101?
0100
1000
1100
0101
XOR outputs 1 when bits differ. Comparing 1001 and 1101, only the second bit differs, yielding 0100. XOR is useful for detecting bit differences. Learn about XOR.
What is the binary representation of 2 to the power of 5?
100000
010000
110000
001000
2^5 equals 32 in decimal. In binary, that is a 1 followed by five zeros: 100000. Each left shift multiplies by two, so shifting 1 five places gives this pattern. Bit shifting info.
What is the result of left shifting 0001 by three positions?
1000
0011
0100
0000
Left shifting moves bits to higher positions, adding zeros on the right. Shifting 0001 three places yields 1000 (8 in decimal). This is equivalent to multiplying by 2³. See bit shifts.
A data byte is 1011. What parity bit should be added for odd parity?
1
0
1011
1111
Odd parity requires the total number of 1 bits (including the parity bit) to be odd. 1011 has three ones, which is already odd. Adding a zero keeps the count odd, so the parity bit is 0. Parity bit details.
How is -5 represented in 8-bit two's complement?
11111011
00000101
11110101
10000101
To get two's complement, invert all bits of 00000101 (5) to 11111010 and add 1, giving 11111011. This represents -5 in 8-bit form. It's widely used for signed integer arithmetic. Two's complement explained.
Does adding 01111111 and 00000001 in 8-bit binary result in an overflow?
Yes
No
Depends on system
Cannot be determined
01111111 (127) + 00000001 (1) yields 10000000, which in two's complement is -128. This wraps around the positive range, so overflow occurs. Arithmetic overflow is detected when sign bits change unexpectedly. Overflow details.
What is the hexadecimal equivalent of binary 11010110?
D6
B6
A6
E6
Group bits in sets of four: 1101 is D and 0110 is 6. Thus 11010110 converts to D6 in hex. Hex simplifies binary by representing every four bits with a single digit. Binary to hex conversion.
What is the binary representation of hexadecimal A3?
10100011
11010011
10010011
10110001
Hex digit A equals 1010 in binary, and 3 equals 0011. Concatenating gives 10100011. This direct mapping makes conversions straightforward. Hex to binary guide.
What is the Gray code equivalent of binary 1011?
1110
1001
0011
1101
Gray code is computed by XORing each bit with its neighbor: g? = b?, g? = b? XOR b???. For 1011: g = 1, (0?1)=1, (1?0)=1, (1?1)=0 ? 1110. Gray avoids multiple bit changes at once. Gray code details.
How many unique values can be represented with 6 bits?
64
32
128
256
With n bits you can represent 2? values. For 6 bits, 2? = 64. This counts from 0 to 63 in unsigned binary. The formula applies to any bit width. Unsigned binary info.
What is the range of signed values in 8-bit two's complement?
-128 to 127
-127 to 128
-256 to 255
0 to 255
An 8-bit two's complement number ranges from -2? to 2??1, i.e., -128 to 127. This uses one bit for the sign and the rest for magnitude. It's standard for signed integer representation. Two's complement range.
What is the 8-bit ASCII binary code for the lowercase letter 'a'?
01100001
1100001
01100010
10100001
In ASCII, lowercase 'a' is decimal 97, which converts to binary 01100001. ASCII uses 7 or 8 bits per character, with the eighth bit often zero. This mapping is consistent across most systems. ASCII table reference.
How is the decimal fraction 0.375 represented in binary?
0.011
0.111
0.101
0.001
Fractional binary places are 2?¹, 2?², 2?³, etc. 0.375 = 0×0.5 + 1×0.25 + 1×0.125 = 0.011?. Each bit after the point halves the place value. Binary fractions explained.
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Study Outcomes
Understand Binary Representation -
Understand how binary numbers represent values in base-2 format, including bit significance and place values.
Convert Between Decimal and Binary -
Convert decimal numbers to binary and vice versa with accuracy, using step-by-step methods covered in the quiz.
Apply Digital Code Interpretation -
Apply digital code interpretation skills to decode and encode binary sequences in various contexts.
Analyze Bit Positions -
Analyze bit positions and patterns to solve conversion and digital code challenges effectively.
Evaluate Quiz Performance -
Evaluate your strengths and weaknesses through instant feedback provided by the binary number quiz, guiding your improvement.
Retain Number System Concepts -
Retain essential number system concepts to support future coding and digital logic tasks beyond the quiz.
Cheat Sheet
Binary Place Values -
Every bit in a binary number represents a power of two, starting from 2^0 at the rightmost position. For example, the binary 1011 equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 11 in decimal (MIT OpenCourseWare). A helpful mnemonic is "2 raised, all places praised!" to remember the power-of-two progression.
Decimal-to-Binary Conversion -
Divide the decimal number by 2, record the remainder, and repeat with the quotient until you reach zero (Cambridge University CS Dept.). Reading the remainders in reverse gives the binary form: 13 ÷ 2 → remainders 1, 0, 1, 1 → 1101₂. This systematic 'divide-and-reverse' method ensures accuracy every time.
Binary-to-Decimal Conversion -
Multiply each bit by its corresponding power of two and sum the results (Stanford EE Fundamentals). For instance, 10010₂ equals 1×2^4 + 0×2^3 + 0×2^2 + 1×2^1 + 0×2^0 = 18. A quick check: group bits in sets and verify partial sums to avoid mistakes.
Two's Complement Representation -
Two's complement lets you represent negative integers by inverting bits and adding one to the least significant bit (University of Texas at Austin). For example, to encode - 5 in 8 bits: start with 00000101, invert → 11111010, add one → 11111011₂. This method simplifies subtraction and is used in virtually every modern CPU.
Binary Arithmetic and Overflow -
When adding binary numbers, a carry beyond the fixed bit-width causes overflow; e.g., 1111â‚‚ + 0001â‚‚ = 10000â‚‚ but in 4 bits it wraps to 0000â‚‚ (IEEE journal on Computing). Practice with 4- and 8-bit addition tables to recognize overflow patterns. Remember "carry in, carry out" to keep track of extra bits.
