Question

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URGENT could you please help me go through the solution of (d and e) expecting a detailed answer Thanks (c) Does adding 2t to an n-bit number affect any of the least significant n bits of the resulting (n+1)-bit number? (d) Use the above result and the fact that a (b-c) (a c)+b to explain how the two's complement representation of a negative number may be used to perform binary subtraction by using binary addition. (e) Use two's complement arithmetic to subtract (Hex) 03 from (Hex) 40 c) Let 6- bnt.. b. be an n-bit nunber. nificont nbits unafected d) 2T- (6-c)- 6-c in bit pesitians o-n-t 's conplerent a c con be used uith additn to Con outu 6-t. e) 03 FD Hex

Answer 1

Given then a + (b - c) = a + (b - c) = (a - c) + b this result should be same the 2's complement of a negative number is perform the subtraction operation by addition operation. The below procedure gives the 2's complement subtraction operation using addition in 2's complement method add 2's complement of subtracted to the minuend, if carry is generated ignore it and if msb = 0 of 15e sum then the final result is positive read it. If msb = 1 then the final result is negative and need the find 2's complement . and place negative sign to that binary magnitude. If there is no carry the result is negative if msb = 1 ex: 10 - 3 rightarrow written as 10 + (- 3) here - 3 is added to the 10, actually it is a subtraction but weare performing addition operation of (- 3) value finally