Binary Numbers

Which step begins the process of converting a decimal number to binary?

Subtract the largest binary place value from the decimal number

What makes binary numbers especially useful for digital electronics?

They align with the two electrical states of on and off

In the conversion of 233 to binary, what binary digit is placed when 9 is less than 16?

0 in the 16 position

Why does the binary system rely on only two digits, 0 and 1?

Because electronic devices operate in two states: on or off

After subtracting 128 and 64 from 233, which binary digit position is next filled?

32

What is the final binary result for decimal number 233?

11101001

Boolean logic is best described as what type of system?

A symbolic system representing truth values

How many total Boolean operators can be formed from combinations of AND, OR, and NOT?

13 additional operators

What is the decimal equivalent of the binary number 10110011?

179

Which of the following best demonstrates the relationship between binary and digital electronics?

Binary digits directly represent on/off electrical conditions

In Boolean logic, which operator represents both inputs being true?

AND

Why are place values in binary different from decimal?

Binary is based on powers of 2 instead of powers of 10

Why is Boolean logic effective in binary computer systems?

It reduces truth values to 1 (true) and 0 (false)

Which Boolean operator inverts the truth value of an input?

NOT

The ENIAC computer, built in 1946, demonstrated which principle?

Binary systems can control complex electronic circuits

The importance of binary numbers in aviation electronics is tied to what core principle?

Computers and digital systems rely on binary for processing and storage

What determines whether a circuit in computer memory is open or closed?

The value assigned in binary (0 or 1)

What was one of the primary uses of binary numbers in early computing?

To represent storage of information as strings of 0s and 1s

When converting decimal 233 to binary, what is the first binary digit placed?

1 in the 128 position

The binary system is also known as what type of base system?

Base-2

In binary, place values are based on what mathematical principle?

Powers of 2

When converting binary to decimal, what determines which place values are added?

Only the positions with a 1 digit

In the binary system, what does the digit "1" typically represent?

The system is on or closed

Which Boolean operator produces a true output if either input is true?

OR

What is the historical origin of the term "binary"?

It comes from a Latin root meaning "two"