Test: Arithmetic Operation - GATE MCQ

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

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

The rules for binary multiplication are:
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1

Therefore, 01001 × 01011 = 001100011.

The rules for binary multiplication are:
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1

Therefore, 10.10 x 01.01 = 011.0010.

Therefore, the quotient of 011010000 ÷ 1001 = 101001.

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

Therefore, the addition of 101101 + 011011 = 1001000.

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

Therefore, The subtraction of 100101 – 011110 = 000111.

The rules for binary multiplication are:
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1

Therefore, 100101 x 0110 = 011011110.

Binary Division is accomplished using long division method.

Therefore, the remainder of 111101 ÷ 1001 = 0111.

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

Therefore, the subtraction of 101101 – 001011 = 100010.