SELF DOUBT DIGITAL

Question

https://gateoverflow.in/1654/gate1998-1-17

WHY THE NUMBER IS TAKEN AS SIGNED NUMBER ?

Comments

@eyeamgj

SO IT IS NOTHING TO DO WITH  8085 MICRO PROCESSOR

yes...

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 Shaik Masthan

I'm just thinking there is a possibility of using Unsigned numbers(addition) right, were the options made you think of signed numbers?

We say Unsigned Integers which means Integers can treated as unsigned numbers in this case

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@Hemanth_13

without signed numbers you can't do Subtraction, right ?

Answer 1

First, write for each decimal equivalent binary code :

since 8 = 2³

write each digit in 3-bit binary 

(342)₈ = (011 100 010)₂  ignore initial zero 

(342)₈ = (226)₁₀ = (11100010)₂

since all processor use 2's complement number system(2's complement number system is weighted number system)

so 11100010 is a negative number

11100010 = 100010 = -2⁵ + 2 = -30

correct answer D