Computer Aptitude Questions – 1’s Complement and 2’s Complement Numbers | Set 9

D.1-5): Convert the following numbers to one’s complement form.

Q.1) Convert the decimal number 45 to one’s complement form.

(a) 101101

(b) 010010

(c) 100010

(d) 010110

(e) 010001

Solution:

b

Step 1:

Convert the given number to binary number.

45₁₀ = 101101₂

Step 2: Invest the value of numbers “1 by zero” and “byone”

101101₂ → 010010₂

Q.2) What is the one’s complement of a number 011100110₂?

(a) 100011101

(b) 000011001

(c) 110011001

(d) 100011001

(e) None of these

Solution:

d

011100110 → 100011001

Q.3) What is the one’s complement of a number 1000110₂

(a) 10110012

(b) 0111101

(c) 0111001

(d) 01100001

(e) 1001001

Solution:

c

1000110  → 0111001

Q.4) What is the one’s complement of a number 28₁₀

(a) 10011₂

(b) 00001₂

(c) 11011₂

(d) 11100₂

(e) None of these

Solution:

e

Step 1: 28_{10 →}  11100

Step 2: 11100  → 00011

Q.5) What is the one’s complement of a number 56₁₀

(a) 111

(b) 110

(c) 1101

(d) 1111

(e) 000011

Solution:

a

Step 1: Binary conversion

56₁₀  → 111000

Step 2: Invert the digits

111000  → 000111

D.6-10): Convert the following numbers to complemented numbers.

Q.6) 58₁₀

(a) 1001

(b) 111

(c) 110

(d) 010

(e) 1110

Solution:

c

Step 1: Binary conversion => 58_{10   →} 111010₂

Step 2: Invert the digits => 111010  → 000101

Step 3: Add 1 with LSB

Q.7)10011101₂

(a) 01100011

(b) 1101100

(c) 1100010

(d) 1101110

(e) 1100001

Solution:

a

Step 1: Inert the digits

1001  1101_2 → 01100010

Step 2: Add 1 with LSB

Q.8) 25₁₀

(a) 110

(b) 111

(c) 1101

(d) 100

(e) 101

Solution:

Step 1: Binary conversion: 25_10 →11001

Step 2: Invert the digits  : 11001 →00110

Q.9) 92₁₀

(a) 001100

(b) 101100

(c) 110100

(d) 100100

(e)101011

Solution:

Step 1: Binary conversion: 92_10 → 1011100

Step 2: Invert the digits : 1011100 →0100011₂

Step 3: Add 1 with LSB

Q.10) 11011101011₂

(a) 111000101

(b) 111010101

(c) 100110101

(d) 110010101

(e) 100010101

Solution:

e

Step 1: Inert the digits

11011101011

Step 2: Add 1 with LSB

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