Numbering Systems: Binary, Decimal, and Hexadecimal Quiz

Why do humans typically use base-10 for counting?

• Base-10 is used because it is the most efficient for calculations.
• Humans use base-5 for counting because of cultural traditions.
• Humans use base-10 for counting due to having ten fingers.
• Humans prefer base-12 due to historical counting systems.

In the number 453, explain what each digit represents in terms of powers of 10.

• 4 hundreds, 5 tens, and 3 ones.
• 4 tens, 3 hundreds, and 5 ones.
• 4 ones, 5 hundreds, and 3 tens.
• 4 tens, 5 hundreds, and 3 ones.

Why do computers use binary or base-2?

• Computers use binary because it is easier for humans to understand.
• Binary is the only number system used in programming languages.
• Computers use binary to save energy in processing data.
• Computers use binary or base-2 because it corresponds to the two states of electronic circuits: on and off.

What are the only two digits used in binary?

• 2 and 3
• 4 and 5
• 6 and 7
• 0 and 1

What do the positions in a binary number represent (in terms of powers)?

• Each position in a binary number represents powers of 16.
• Each position in a binary number represents powers of 8.
• Each position in a binary number represents powers of 10.
• Each position in a binary number represents powers of 2.

Convert the binary number 111011 to decimal.

• 59
• 57
• 61
• 63

Convert the decimal number 68 to binary.

• 1000100
• 1001000
• 1100100
• 1010100

Why is hexadecimal useful in computing compared to working directly with binary?

• Hexadecimal is only used in graphics programming.
• Hexadecimal is slower than binary for calculations.
• Hexadecimal is useful because it simplifies binary representation, making it more readable and manageable.
• Hexadecimal uses more bits than binary.

What symbols are used to represent values 10-15 in hexadecimal?

• G, H, I, J
• A, B, C, D, E, F
• 1, 2, 3, 4
• X, Y, Z, W

What does "33h" represent, and why is it different from decimal 33?

• 33h represents the binary number 33 in decimal.
• 33h represents the hexadecimal number 51 in decimal.
• 33h is a representation of the octal number 33.
• 33h is equal to decimal 66.