Binary Arithmetic Operations

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Questions and Answers

We start by adding the two ______ and write down the result in the sum column.

LSBs

The remainder of the sum is written down in the ______ column.

sum

An ______ error occurs when the result of a binary addition exceeds the maximum value that can be represented.

overflow

In the case of 8-bit, the maximum value that can be represented is ______.

<p>255</p> Signup and view all the answers

To avoid ______ errors, it's important to check the result of binary addition.

<p>overflow</p> Signup and view all the answers

You can convert your binary numbers to ______, then perform the calculation and then convert them back to check you've got the right answer.

<p>denary</p> Signup and view all the answers

When adding binary numbers, the process is similar to adding ______ numbers.

<p>denary</p> Signup and view all the answers

The binary adding rules state that 0+0 equals ______.

<p>0</p> Signup and view all the answers

When adding binary numbers, the least significant bit (LSB) is on the ______.

<p>right</p> Signup and view all the answers

If the sum of the bits is 2 or greater, you write the ______ of the sum in the sum column.

<p>remainder</p> Signup and view all the answers

The final step in adding binary numbers is to check that the sum fits within ______ bits.

<p>8</p> Signup and view all the answers

If the sum of the last two bits produces a carryover, you add an additional ______ to the left of the sum.

<p>bit</p> Signup and view all the answers

Shifting the binary number to the ______ by two positions, is dividing it by 22, or 4.

<p>right</p> Signup and view all the answers

The result of shifting 11001100 to the left by two positions is equal to ______ times the original value.

<p>four</p> Signup and view all the answers

To convert a positive number to a two's complement 8-bit integer, first represent the number in binary form with leading ______ until it is 8 bits long.

<p>zeros</p> Signup and view all the answers

When converting a negative number to a two's complement 8-bit integer, you must ______ all the bits in the binary representation of the positive equivalent of the number.

<p>invert</p> Signup and view all the answers

To check your binary conversion answer, you should convert the binary number to ______ and work out your answer.

<p>denary</p> Signup and view all the answers

The leftmost bit in a two's complement representation represents the ______ of the number.

<p>sign</p> Signup and view all the answers

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