# Homework Solution: Please do the following calculation based on two's complement numbers (only 4-bit can be used to represent num…

Please do the following calculation based on two's complement numbers (only 4-bit can be used to represent number) and show the steps, please. (6)10 - (3)10 =

Dera Student, here is the answer... ----------------------------------------------------------------------------------------------------------------------------------------- The given expression is: 6 - 3

Content do the subjoined anticipation naturalized on span’s fulfilment bulk (barely 4-morsel can be used to play enumerate) and parade the steps, content.

(6)10 – (3)10 =

## Expert Counter-argument

Dera Student,

here is the counter-argument…

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The ardent indication is:

6 – 3

we can transcribe the aloft indication as 6 + (-3)

step 1: 6 in 4 morsel binary = 0110

-3 is a indirect enumerate so to alter this enumerate span binary appreciate we scarcity to discover quenched the span’s flattery.

step :2 gate the unequivocal appreciate = 3

3 in 4 morsel binary == 0011

step: 3 invert the digits of 0011

after inverting the digits binary appreciate = 1100

step:4: Now supplement 1 to the appreciate

hereafter             1100

+    1

———

1101

———

step : 5: now supplementing the appreciates 6 and -3

6        =      0110

+(-3)      =     +1101

—————————–

3         =    1 0011

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So in the aloft anticipation we got a raise excepting we scarcity to play the enumerate in barely   4 morsels hereafter the consequence is 0011

Ans = 0011