Number Systems and Base Conversions

What is the base of the decimal number system?

• 2

• 8

• 10

• 16

How many distinct numbers are used in the binary number system?

• 2

• 8

• 10

• 16

Which of the following numbers is NOT used in the octal number system?

• 0

• 7

• 8

• 5

In the hexadecimal number system, what decimal value does the letter 'D' represent?

• 10

• 12

• 13

• 15

What technique is used to convert a decimal number to a binary, octal, or hexadecimal number?

• Subtractive multiplication

• Successive division

• Additive summation

• Multiplicative addition

What is the binary equivalent of the decimal number 348?

• 101011100₂

• 101011010₂

• 101101100₂

• 101011110₂

When converting a decimal number to binary using successive division, where is the least significant bit (LSB) found in the sequence of remainders?

• At the top of the list of remainders.

• At the bottom of the list of remainders.

• In the middle of the list of remainders.

• The LSB is not determined by remainders.

What is the octal equivalent of the decimal number 348?

• 534₈

• 435₈

• 543₈

• 345₈

What is the hexadecimal equivalent of the decimal number 348?

• 15C₁₆

• 1C5₁₆

• 51C₁₆

• C51₁₆

To convert a decimal number to a number in a different base (e.g., binary, octal, hexadecimal), what mathematical operation is primarily used?

• Successive multiplication by the base.

• Successive division by the base.

• Addition of powers of the base.

• Subtraction of powers of the base.