WorksheetsExploring Number Systems
Total questions: 20
Worksheet time: 10mins
What is the binary equivalent of the decimal number 10?
1100
1010
1001
1011
Convert the decimal number 25 to binary.
11100
10101
11010
11001
How do you convert the binary number 1010 to hexadecimal?
A
1010 in decimal is 10
The hexadecimal equivalent is 20
Convert 1010 to octal first
What is the hexadecimal equivalent of the binary number 1111?
E
10
1110
F
What is the result of adding the binary numbers 1011 and 1101?
11100
10010
11000
10101
What is the sum of the binary numbers 0110 and 0011?
1001
0111
1100
1010
Explain what 1's complement means in binary numbers.
1's complement is a binary representation where each bit is inverted (0s become 1s and 1s become 0s).
1's complement is a method for binary addition.
1's complement is the same as 2's complement.
1's complement adds a binary digit to the number.
How do you find the 2's complement of a binary number?
Invert the bits and add 1 to the result.
Leave the binary number unchanged.
Invert the bits and subtract 1 from the result.
Add 1 to the binary number directly.
What is the 2's complement of the binary number 1100?
1100
0100
0011
1111
If the binary number is 0110, what is its 1's complement?
0110
1001
1100
1000
What is the result of performing a logical shift left on the binary number 1010?
1011
10010
1100
10100
What happens to the binary number 1110 when you perform a logical shift left?
11101
1010
11100
1100
Define what a signed number is in binary representation.
A signed number is represented using a fixed number of bits without a sign indicator.
A signed number uses the first bit to represent its magnitude only.
A signed number is always positive in binary representation.
A signed number in binary representation is a number that uses a specific bit to indicate its sign, commonly represented using two's complement.
What is the difference between signed and unsigned numbers?
Signed numbers are always larger than unsigned numbers.
Both signed and unsigned numbers can represent only positive values.
Signed numbers can only represent positive values; unsigned numbers can represent both negative and positive values.
Signed numbers can represent negative and positive values; unsigned numbers can only represent non-negative values.
How do you represent the decimal number -5 in 2's complement?
1011
1111
1010
1101
What is the binary addition rule for carrying over?
If the sum of two bits is 2 or 3, carry over 1 to the next bit.
If the sum of two bits is 2, do not carry over anything.
If the sum of two bits is 0, carry over 1 to the next bit.
If the sum of two bits is 1, carry over 1 to the next bit.
How do you convert the decimal number 15 to binary?
1010
1111
1110
1001
What is the binary representation of the decimal number 8?
1000
1010
1100
1001
Explain the process of converting binary to decimal.
To convert binary to decimal, simply reverse the digits.
The binary number 1011 is equal to 10 in decimal.
The decimal equivalent of the binary number 1011 is 11.
The decimal equivalent of the binary number 1011 is 12.
What is the result of adding the binary numbers 0001 and 0010?
0010
0000
0100
0011
