Question

In binary system the decimal numbers are represented in terms of 0 and 1. We use a low voltage plus to represent binary 0 and a high voltage plus to represent binary 1. Fig. (a) and (b) give the plus representation of decimal number X and Y respectively. The plus representation decimal number (X + Y) is:

Answer 1

Correct option: (3)

Explanation: 

The binary representation of X is 1001. The decimal number X = 1(2)³ + 0(2)¹ + 1(2)⁰ = 9 

The binary representation of Y is 10101 

The decimal number Y = 1(2)⁴ + 0(2)³ + 1(2)² + 0(2)¹ + 1(2)⁰ = 21 

The decimal number X + Y = 9 + 21 = 30. The binary representation of (X+Y) is 11110. The pluse representation of this number is as shown in (3).