Digital Circuits Questions and Answers Part-3

1. What is the addition of the binary numbers 11011011010 and 010100101?
a) 0111001000
b) 1100110110
c) 11101111111
d) 10011010011

Answer: c
Explanation: The rules for Binary Addition are :
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 0 ( Carry 1)

2. Perform binary addition: 101101 + 011011 = ?
a) 011010
b) 1010100
c) 101110
d) 1001000

Answer: d
Explanation: The rules for Binary Addition are :
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 0 ( Carry 1)

3. Perform binary subtraction: 101111 – 010101 = ?
a) 100100
b) 010101
c) 011010
d) 011001

Answer: c
Explanation: The rules for Binary Subtraction are :
0 – 0 = 0
0 – 1 = 1 ( Borrow 1)
1 – 0 = 1
1 – 1 = 0

4. Binary subtraction of 100101 – 011110 is?
a) 000111
b) 111000
c) 010101
d) 101010

Answer: a
Explanation: The rules for Binary Subtraction are :
0 – 0 = 0
0 – 1 = 1 ( Borrow 1)
1 – 0 = 1
1 – 1 = 0

5. Perform multiplication of the binary numbers: 01001 × 01011 = ?
a) 001100011
b) 110011100
c) 010100110
d) 101010111

Answer: a
Explanation: The rules for binary multiplication are:
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1

6. 100101 × 0110 = ?
a) 1011001111
b) 0100110011
c) 101111110
d) 0110100101

Answer: c
Explanation: The rules for binary multiplication are:
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1

7. On multiplication of (10.10) and (01.01), we get ____________
a) 101.0010
b) 0010.101
c) 011.0010
d) 110.0011

Answer: c
Explanation: The rules for binary multiplication are:
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1

8. Divide the binary numbers: 111101 ÷ 1001 and find the remainder.
a) 0010
b) 1010
c) 1100
d) 0111

Answer: d
Explanation: Binary Division is accomplished using long division method.

9. Divide the binary number (011010000) by (0101) and find the quotient.
a) 100011
b) 101001
c) 110010
d) 010001

Answer: b
Explanation: The quotient of 011010000 ÷ 1001 = 101001.

10. Binary subtraction of 101101 – 001011 = ?
a) 100010
b) 010110
c) 110101
d) 101100

Answer: a
Explanation: The rules for binary subtraction are:
0 – 0 = 0
0 – 1 = 1 ( Borrow 1)
1 – 0 = 1
1 – 1 = 0