Binary Basics

What is the value of 00100101?

• 32

• 33

• 46

• 37

Answer explanation

The binary number 00100101 converts to decimal as follows: 0*2^7 + 0*2^6 + 1*2^5 + 0*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 0 + 0 + 32 + 0 + 0 + 4 + 0 + 1 = 37.

What is the value of 11111010?

• 254

• 246

• 220

• 250

Answer explanation

The binary number 11111010 converts to decimal as follows: 1*2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 128 + 64 + 32 + 16 + 8 + 0 + 2 + 0 = 250.

What is the value of 00001101?

• 22

• 13

• 19

• 27

Answer explanation

The value 00001101 is a binary number. To convert it to decimal, calculate: (0*2^7) + (0*2^6) + (0*2^5) + (0*2^4) + (1*2^3) + (1*2^2) + (0*2^1) + (1*2^0) = 0 + 0 + 0 + 0 + 8 + 4 + 0 + 1 = 13.

What is the value of 10011001?

• 229

• 199

• 153

• 187

Answer explanation

The binary number 10011001 converts to decimal as follows: 1*2^7 + 0*2^6 + 0*2^5 + 1*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0 = 128 + 0 + 0 + 16 + 8 + 0 + 0 + 1 = 153.

What is 3 in binary? 

• 00000001

• 00000100

• 00000011

• 00000101

Answer explanation

The binary representation of the decimal number 3 is 11. In an 8-bit format, this is written as 00000011, which matches the correct answer choice.

What is 192 in binary?

• 10001100

• 11001001

• 11000000

• 11010010

Answer explanation

To convert 192 to binary, divide by 2 repeatedly. 192 in binary is 11000000, which corresponds to 128 + 64 = 192. The other options do not represent 192.

What is decimal 16 in binary?

• 00001100

• 00001101

• 00011100

• 00010000

Answer explanation

Decimal 16 converts to binary as follows: 16 in binary is 10000. When padded to 8 bits, it becomes 00010000. Thus, the correct answer is 00010000.

What is the binary representation of 45?

• 00101101

• 00111001

• 00110101

• 00111100

Answer explanation

The binary representation of 45 is calculated by converting it to binary. 45 in decimal is 32 (2^5) + 8 (2^3) + 4 (2^2) + 1 (2^0), which corresponds to 00101101 in binary. Thus, the correct answer is 00101101.

What is 255 in binary?

• 11111110

• 11111111

• 11111011

• 11110111

Answer explanation

255 in binary is represented as 11111111. This is because 255 is the maximum value for an 8-bit binary number, where all bits are set to 1.

The binary number system uses ___ numbers.

• three

• two

• one

• ten