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Add -20 to +26 by using 2's complement ?
Ans. Firstly convert the both numbers 20 and 26 in its 8-bit binary equivalent and determine the 2's complement of 20, after that add -20 to +26, that is, 20 = 0 0 0 1 0 1 0 0 (that is 8-bit binary equivalent of 20)
= 1 1 1 0 1 0 1 1 (1's complement) +1 -------------------------------
= -20 = 1 1 1 0 1 1 0 0 (i.e. 2's complement of 20) +26 = 0 0 0 1 1 0 1 0 (8-bit binary equivalent of 26) ----------------------------- Addition of -20 to +26 = +6 = 0 0 0 0 0 1 1 0 ----------------------------- Thus -20 to +26 = (6)10 = (0110)2.
Define word length? Every group of n bits is referred to as a word of information and n is known as the word length.
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