Question

Convert the Decimal value 195 into its Binary value:

a) 0100-1100
b) 1001-0101
c) 1100-0011
d) 1100-1010

Answer 1

To convert decimal value 195 to binary, divide the number by 2 repeatedly and write down the remainders. The binary representation of 195 is 11000011.

Step-by-step explanation:

To convert a decimal number to binary, we can use the process of division by 2. We divide the decimal number by 2 and write down the remainder. Then, we continue dividing the result by 2 until the quotient becomes 0.

In this case, to convert decimal value 195 to binary, we divide 195 by 2 and get a quotient of 97 and a remainder of 1. We repeat this process with the quotient, obtaining a new quotient of 48 and a remainder of 0. We continue this process until the quotient becomes 0:

195 ÷ 2 = 97 (remainder 1)

97 ÷ 2 = 48 (remainder 0)

48 ÷ 2 = 24 (remainder 0)

24 ÷ 2 = 12 (remainder 0)

12 ÷ 2 = 6 (remainder 0)

6 ÷ 2 = 3 (remainder 0)

3 ÷ 2 = 1 (remainder 1)

1 ÷ 2 = 0 (remainder 1)

Reading the remainders in reverse order, we get the binary representation of 195 as 11000011.