Computing 2

What is the sum of 1 + 1 in binary?

• 0

• 1

• 10

• 11

Answer explanation

In binary, 1 + 1 equals 10. This is because binary is base 2, where 1 + 1 results in 0 with a carry of 1, making it 10. Therefore, the correct answer is 10.

What is the result of 1 + 0 in binary?

• 0

• 1

• 10

• 11

Answer explanation

In binary, 1 + 0 equals 1. The addition follows the same rules as in decimal, where adding zero to any number does not change its value. Therefore, the correct answer is 1.

What is the binary sum of 10110110 (182) + 11011010?

• 1111000 (240)

• 101110000

• 11011000

• 11110100

Answer explanation

To find the binary sum of 10110110 and 11011010, align the numbers and add them bit by bit, carrying over when necessary. The result is 11110000, which is 240 in decimal. Thus, the correct answer is 1111000 (240).

What is the result of adding 10110110 + 11011010 in binary?

• 101110000

• 1111000

• 11011100

• 10110101

Answer explanation

To add 10110110 and 11011010 in binary, align the numbers and add each column, carrying over when the sum exceeds 1. The result is 101110000, which is the correct answer.

What is the decimal equivalent of the binary number 00000001?

• 0

• 1

• 2

• 8

Answer explanation

The binary number 00000001 represents the decimal value 1. Each binary digit (bit) corresponds to a power of 2, and in this case, only the last bit is '1', which equals 2^0 = 1.

Which of the following binary numbers represents the decimal number 16?

• 00001000

• 00010000

• 00000100

• 10000000

Answer explanation

The binary number 00010000 represents the decimal number 16. In binary, each position represents a power of 2, and 00010000 corresponds to 2^4, which equals 16.

What is the decimal equivalent of the binary number 01010110?

• 86

• 68

• 75

• 91

Answer explanation

To convert the binary number 01010110 to decimal, calculate: (0*2^7) + (1*2^6) + (0*2^5) + (1*2^4) + (0*2^3) + (1*2^2) + (1*2^1) + (0*2^0) = 64 + 16 + 4 + 2 = 86. Thus, the decimal equivalent is 86.

Which of the following binary numbers equals the decimal number 178?

• 10110010

• 11010101

• 10011100

• 10111101

Answer explanation

To convert binary 10110010 to decimal, calculate: 1*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 128 + 32 + 16 + 2 = 178. Thus, 10110010 equals 178.

What is the decimal value of the binary number 00100000?

• 32

• 64

• 128

• 256

Answer explanation

The binary number 00100000 represents 2^5, which equals 32 in decimal. Each digit in binary corresponds to a power of 2, starting from the right. Thus, the correct answer is 32.

Convert the binary number 00000010 to decimal.

• 1

• 2

• 4

• 8

Answer explanation

The binary number 00000010 represents 2 in decimal. Each digit in binary corresponds to a power of 2, starting from the right. Here, the second digit from the right (1) is in the 2^1 place, which equals 2.