bit width for addition

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sky_above

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What will be the bit size required to do the addition where we add eight bits eight times. How to calculate that bit width in case of addition in binary?
 

Hi,

Can´t you solve it on your own?

take a piece of paper and a pencil.
Then decide if you want signed or unsigned 8 bit representation.
Decide the highest absolute value.
Write this value 8 times among each other
calculate the sum.

The decide which bith width you need for this number.

********
mathematically:
* input_bit_width ( 8 bits)
* add_count (8)

output_bit_width = input_bit_width + log(add_count) / log(2)

Try both and see if both results match.
Decide why they don´t match exactly.

Klaus
 

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