Understanding n-bit and Two's Complement

What is the range of an n-bit signed integer using two's complement?

• [-2^(n-1), 2^(n-1) - 1]

• [0, 2^n - 1]

• [-2^n, 2^n]

• [-2^(n-1) - 1, 2^(n-1)]

How many unique values can an 8-bit unsigned integer represent?

• 128

• 512

• 256

• 64

What is the two's complement representation of -5 in 8 bits?

• 11110111

• 11111010

• 11111100

• 11111011

How do you convert the binary number 11001010 to decimal?

• 192

• 175

• 210

• 202

What is the decimal equivalent of the 8-bit binary number 00001111?

• 5

• 10

• 15

• 20

What is the maximum positive value for an 8-bit signed integer?

• 128

• 255

• 127

• -128

How do you determine if an 8-bit binary number is positive or negative?

• Convert the binary number to decimal and check if it's greater than 128.

• Check the most significant bit: 0 is positive, 1 is negative.

• Check the least significant bit: 0 is negative, 1 is positive.

• Count the number of 1s in the binary number; if it's odd, it's negative.

What is the decimal value of the two's complement binary 11111111?

• -1

• 255

• 1

• 0

Which method is commonly used to convert binary to decimal?

• Adding the binary digits directly without conversion.

• The method of multiplying each bit by 2 raised to its position and summing the results.

• Dividing the binary number by 10 repeatedly.

• Using hexadecimal as an intermediary step.

What decimal value does the 8-bit two's complement number 11011011 represent?

• -37

• -53

• 53

• 37