In binary system decimal numbers are represented as 0=0000 0000, 1=0000 0001, 2=0000 0010, 3=000

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20 Jan 2017 Product of numbers

In binary system decimal numbers are represented as
0=0000 0000,
1=0000 0001,
2=0000 0010,
3=0000 0011
4=0000 0100 and so on

What is the resultant decimal number produced by multiplication of following 2 binary numbers (1011
1101) and (0110 0010)?

OPtion

1) 18022
2) 18122
3) 18222
4) 18322
5) 18422
6) 18522
7) 18622
8) 18722
9) 18822
10)18922

Solution

Let’s convert these numbers into decimal first
1011 1101 = 1*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 128+0+32+16+8+4+0+1 = 189
Similarly,
0110 0010 = 0*2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 0+64+32+0+0+0+2+0 = 98

Product of 189*98 = 18522
Option 6)

Correct Option: 6 Best Solution (16)

G.S.Kantharao   7 years AGO

10111101=128+32+16+8+4+1=189
01100010 = 64+32+2=98
189*98 =18522
Hence the right option is 6.

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Pragati Rode   7 years AGO

convert number to decimal
1011 1101 ==> 189
0110 0010 ==> 98
multiplication of 189 * 98 = 18522
so option 6

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Neeraj   7 years AGO

10111101*01100010=100100001011010
which is binary of 18522

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Rakesh   7 years AGO

10111101 is binary number it converts decimal its value 189
01100010 its binary number converts decimal its value is 98
so multiplication of 189*98
value 18522
so opt is 6

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Deep   7 years AGO

first decimal number is 189 and second one is 98 so 189*98 = 18522

by following 1 2 4 8 16 32 64 128 so on

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Baishali Roy   7 years AGO

In decimal (1011 1101)=189
In decimal (0110 0010)=98
So in decimal--> (1011 1101)*(0100 0010)= (189*98)=18522 (Opt. 6) (Ans).

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Dharmendra kumar   7 years AGO

1st no - 189
2nd no - 98
so product of two above no - 18522

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sachidanand yadav   7 years AGO

=>(2^7*1 + 2^6*0 + 2^5*1 + 2^4*1 + 2^3*1 + 2^2*1 + 2^1*0 + 2^0*1) * (2^7*0 + 2^6*1 + 2^5*1 + 2^4*0 + 2^3*0 + 2^2*0 + 2^1*1 + 2^0*0)
=>189*98=18522

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DHANANJAY KUMAR   7 years AGO

10111101 is a binary number and its decimal value is 189
and 01100010 is a also a binary number and its decimal value is 98
then multiplication of the numbers is 189*98= 18522

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Dhanraj Wanjare   7 years AGO

Change binary to decimal first....

1011 1101 = 1*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 1*2^3 +
1*2^2 + 0*2^1 + 1*2^0;
=128 + 0 + 32 + 16 + 8 + 4 + 0 + 1;
= 189

0110 0010 = 0*2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 0*2^3 +
0*2^2 + 1*2^1 + 0*2^0;
= 0 + 64 + 32 + 0 + 0 + 0 + 2 + 0;
= 98;

(1011 1101) * (0110 0010) = 189 * 98;
= 18522;
so Answer 6) :- 18522

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Sreevidya   7 years AGO

decimal number of first binary no is=189
second no is:98
multiplication is :18522

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Tapas Budhani   7 years AGO

Firstly we will convert given binary numbers into coreesponding decimal.
So, (1011 1101)2=(189)10
(0110 0010)2=(98)10
And then simply multiply numbers i.e
189×98=18522

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qwertyqaz   7 years AGO

there are two method to do this question
1) convert both to decimal then multiply
2) multiply as it is (you can multiply hem in the same way we multiply decimal numbers)

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sumit mohan   7 years AGO

we can convert the given binary number into decimal and then we'll get 189 and 98 respectively. multiply both number the result would be 18522

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Ansh   7 years AGO

(10111101) is 189
(01100010) is 96
hence there product is 18522

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Anandita Rani   7 years AGO

by Multiplying both binary , we get :-
100100001011010
now , convert this binary no to decimal
we get :- 18522

Like? Yes | No (2)