binary calculations

Question 1

how is binary addition different from denary addition

Question 2

what is overflow in binary addition

Answer 2

overflow occurs when the result exceeds the number of bits available, e.g., adding two 8-bit numbers gives a 9-bit result

Question 3

how do you add binary values

Answer 3

align both numbers, start from the rightmost bit, and use binary addition rules

Question 3

what is a logical shift

Answer 3

it moves binary digits left or right, replacing emptied bits with 0

Question 4

what is two’s complement

Answer 4

a method to represent negative binary numbers where the msb represents -128 instead of 128

Question 4

how do you convert a binary value to two’s complement

Answer 4

find the first 1 from the right, leave it unchanged, and flip all bits to its left

Question 5

how do you convert a negative value to two’s complement

Answer 5

find the binary equivalent (ignore the negative sign), apply two’s complement conversion, set the msb to 1