Q2 Comprog Summative Test3

In 1's complement, what do all the negative numbers have in common?

• end with a 1

• begin with a 0

• begin with a 1

• end with a 0

Why is it important to specify the number of bits we are using to represent signed numbers?

• so that we do not confuse the sign bit

• It makes no sense to add a negative sign to another binary digit

• so that we can compare the most significant bit as the sign bit

• All of the above

How would you write the number -7₁₀ in signed magnitude representation using 5 bits?

• 00111₂

• 10111₂

• 11011₂

• 10101₂

Which of the following is considered as an advantage to using signed magnitude to represent negative numbers?

• this representation makes arithmetic very difficult

• adding a bit to the normal binary number makes no changes

• the simplicity of representing a negative number

• All of the above

How does the signed magnitude representation allow us to distinguish signed numbers?

• by adding a sign bit to the front of each number

• when the sign bit is zero, our number is positive

• when the sign bit is one, our number is negative

• All of the above

What does it mean to complement a binary number?

• to change all the 1's to 0's only

• to change all the 0's to 1's only

• c. to change all the 1's to 0's and all the 0's to 1's

• to add 1's to the significant digit

If you want to the number -3₁₀ using 1's complement representation, what do you need to do?

• we need only to convert 3₁₀ to binary

• we need to convert 3₁₀ to binary and then complement this number

• we need to complement first before you convert 3₁₀ to binary

• we need to change the significant digit to 1

What important property do we want our representation scheme for signed numbers to have?

• to simplify binary subtraction

• to simplify binary addition

• to simplify binary multiplication

• to simplify binary division

What is the general technique for converting a decimal number to 1's complement representation?

• If the number is positive, simply convert it to binary

• If the number is negative, write the positive value of the number in binary

• Reverse each bit

• All of the above

In 2's complement, what do all the positive numbers have in common?

• all the positive numbers begin with a 0

• all the positive numbers begin with a 1

• all the positive numbers end with a 0

• all the positive numbers begin with a 1