Answer Posted / nobody

In self complementing code, 9's complement in decimal is the
1's complement in binary.

Now, assume a code with weights are W1,W2,W3 and W4.

We want to prove that,
W1 + W2 + W3 + W4 = 9

Let 'N' be a number in decimal.

Let N's binary equivalent in given code be
X1X2X3X4

Lets represent complement of N as COMP(N).

Let COMP(N)'s binary equivalent in given code be
Y1Y2Y3Y4

Therefore,

N = W1(X1) + W2(X2) + W3(X3) + W4(X4) ***************[1]

Now 9's complement of N is
[9's COMP(N)] = 9 - N
[9's COMP(N)] = 9 - [W1(X1) + W2(X2) + W3(X3) + W4(X4)]
***** (from eq.1) *******[2]

Now, COMP(N)'s binary equivalent in given code is Y1Y2Y3Y4.
COMP(N) = W1(Y1) + W2(Y2) + W3(Y3) + W4(Y4)
********************[3]

Now as it is a self complementing code, 9's complement in
decimal is equal to the 1's complement in binary.

Therefore,

[9's COMP(N)] = COMP(N)

From [2] and [3]

9 - [W1(X1) + W2(X2) + W3(X3) + W4(X4)] = W1(Y1) + W2(Y2) +
W3(Y3) + W4(Y4)

[W1(X1) + W2(X2) + W3(X3) + W4(X4)] + [W1(Y1) + W2(Y2) +
W3(Y3) + W4(Y4)] = 9

W1(X1+Y1) + W2(X2+Y2) + W3(X3+Y3) + W4(X4+Y4) = 9
****************************[4]

Now, as (X1,Y1) (X2,Y2), (X3,Y3), (X4,Y4) are complements of
each other, their sums will always be 1.
i.e
(X1 + Y1) = (X2 + Y2) = (X3 + Y3) = (X4 + Y4) = 1.

Putting this in eq. [4], we get,

W1(1) + W2(1) + W3(1) + W4(1) = 9

i.e
W1 + W2 + W3 + W4 = 9

4. What is your typical way of dealing with conflict?

1884

---

Dear frds In my office we are using chiller . in that chiller inlet and outlet water diff. is 2.5 decgree always. if i intduce the cooling tower can i get good result in chiller Inlet water. reply plz.

1919

---

what is the difference between verification and validation

2787

---

I have Cleared Bank of India Clerical Examination.I just want to know how to prepare for interview and what are the parriculars that I have to submit......Pls someone help me with it

1904

---

differance between radix sort and radix exchange sort

3205

---

5. Can you work well under deadlines or pressure?

2608

---

How do aeroplanes fly? Why can some fly up-side down?

971

---

What is the Boundary value analysis and Equlance class partition for select * from emp

2166

---

What are the differences between 1 dimensional RAM and 2 dimensional RAM?

2637

---

What is the actual procedure of charging synthetic oil if the machine is under positive refrigerant pressure.

1655

---

can u tell me any JAM topics.........and answers also...plz send me.........e-mail: anitha839@gmail.com

5342

---

Tell me about urself? asked me qstns on my resume what about higher studies any plans? where do u find urself after 3-4

2369

---

what is the Relationship between quantity of Gas and capacity of AC machine in tonnage.

2124

---

What is the meaning of "co relation" and what is the value of "co relation" in the performance testing environment.

1969

---

IS THE SAMPLE POINT OF LPG SPHERE TANK PEFOR OR AFTER BUMP?

2031

---