Hex and binary

Convert 00000011 to decimal

• 192

• 3

• 2

• 6

Answer explanation

To convert a binary number to decimal, we multiply each digit by 2 raised to the power of its position and sum them up. In this case, the binary number 00000011 is equal to 3 in decimal. Therefore, the correct answer is 3.

Convert 00101010 to decimal

• 48

• 44

• 42

• 41

Answer explanation

To convert a binary number to decimal, multiply each digit by 2 raised to the power of its position and sum the results. In this case, the binary number 00101010 is equal to 42 in decimal. Therefore, the correct answer is 42.

Write 45 as a binary number 

• 00101111

• 00011101

• 00101011

• 00101101

Answer explanation

To convert 45 to binary, divide it by 2 repeatedly and note the remainders. The correct binary representation is 00101101, which matches the last option.

write 255 as binary

• 11111110

• 11111111

• 00000000

• 10000000

Answer explanation

To write 255 as binary, we need 8 bits. The correct binary representation is 11111111, which highlights the correct choice.

Convert 85 into Hexadecimal

• 01010101

• 55

• 5A

• A5

Answer explanation

To convert 85 into hexadecimal, divide it by 16 repeatedly. The remainder of each division represents a hexadecimal digit. The correct hexadecimal representation of 85 is 55, which is the correct choice.

Denary = 78
Binary in bits = ?

• 01100010

• 4E

• 01001110

• E4

Answer explanation

The binary representation of 78 is 01001110. This is the correct choice.

Denary = 255
Hex = ?

• AF

• 1F

• FA

• FF

Answer explanation

The hexadecimal representation of 255 is FF. It is the correct choice because FF represents the highest value in hexadecimal, which is equivalent to 255 in denary.

Binary = 0100 1010 0011 1101
Hex = ?

• 43AD

• 4A3D

• D3A4

• 3A4D

Answer explanation

To convert binary to hex, group the binary digits into sets of 4. Then, convert each set to its corresponding hex digit. In this case, 0100 = 4, 1010 = A, 0011 = 3, and 1101 = D. Therefore, the hex value is 4A3D, which is the correct choice.

Binary 1111
Hex = ?

• 14

• F

• 15

• E

Answer explanation

The binary number 1111 is equal to the hexadecimal number F. Therefore, the correct answer is F.

Binary 0001
Hex = ?
Dec = ?

• 1 ,1

• 0, 1

• 1, 0

• 0, 0 

Answer explanation

The binary number 0001 represents the decimal number 1. In hexadecimal, it is represented as 1. The correct answers are 1 and 1.