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Previous Year Paper 3: 02/2015 Shift

Option 3 : 1001

EKT ME Full Test 1

2054

50 Questions
150 Marks
45 Mins

**Method 1**^{st}:

We can directly subtract two binary numbers by using the concept of 'Carry' as given below

(1110)_{2} - (0101)_{2 }= (1001)_{2}

__Method 2__^{nd}:

We can subtract two binary numbers by using decimal conversion as given below

(1110)_{2 }= (2^{0} x 0) + (2^{1} x 1) + (2^{2} x 1) + (2^{3} x 1)

∴ (1110)2 = (14)_{10}

(0101)2 = (20 x 1) + (21 x 0) + (22 x 1) + (23 x 0)

(0101)_{2} = (5)_{10}

Now, (14)_{10 }- (5)_{10} = (9)_{10}

Now binary conversion of (9)_{10 }is

(9)_{10} = (1001)_{2}

∴ **(1110)2 - (0101)2 = (1001)2**