Question

Question from Binary numbers: i found it 10100 but the answer isn't matching​

Answer 1

Answer:

$\rm {Option \; D \; (10101) }$

Step-by-step explanation:

As per the question, we have to perform binary addition,

$\longmapsto \rm { (1011.01)_2 + (1001.11)_2 }$

Note,

• 0 + 0 = 0 (Carry 0)
• 0 + 1 = 1 (Carry 0)
• 1 + 0 = 1 (Carry 0)
• 1 + 1 = 0 (Carry 1)

(Performing addition from left to right)

Step 1 :

• 1 + 1 = 0, carry is taken as 1

Step 2 :

⇒ 1(Carry) + 0 + 1

⇒ (1 + 0) + 1

• 1 + 0 = 1, carry = 0

⇒ 1 + 1

• 1 + 1 = 0, Carry is 1.

⇒ 0

Step 3 :

⇒ 1(Carry) + 1 + 1

⇒ (1 + 1) + 1

• 1 + 1 = 0, carry 1.

⇒ 0 + 1

⇒ 1

Step 4 :

⇒ 1(Carry) + 1 + 0

⇒ (1 + 1) + 0

• 1 + 1 = 0, carry 1.

⇒ 0 + 1

⇒ 0

Step 5 :

⇒ 1(Carry) + 0 + 0

⇒(1 + 0) + 0

⇒1 + 0⇒1

Step 6 :

⇒1 + 1

⇒ 0

• Carry 1

Step 7 :

⇒ 1(Carry)

⇒ 1

Therefore,

$\longmapsto \bf { (1011.01)_2 + (1001.11)_2 = (10101.00)_2}$