Binary Arithmetic Operations

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18 Questions

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 ______.

255

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

overflow

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

denary

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

denary

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

0

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

right

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

remainder

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

8

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

bit

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

right

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

four

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.

zeros

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.

invert

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

denary

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

sign

Learn how to perform binary arithmetic operations, including adding binary numbers, carrying over bits, and understanding the remainder of the sum.

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