Q.1 (b)

Step 1. Divide the decimal number by 2 and keep track of the remainder.
Step 2. If the quotient is 0, the binary representation is the sequence of remainders in reverse order.

Let's do this:
357 ÷ 2 = 178 with a remainder of 1
178 ÷ 2 = 89 with a remainder of 0
89 ÷ 2 = 44 with a remainder of 1
44 ÷ 2 = 22 with a remainder of 0
22 ÷ 2 = 11 with a remainder of 0
11 ÷ 2 = 5 with a remainder of 1
5 ÷ 2 = 2 with a remainder of 1
2 ÷ 2 = 1 with a remainder of 0
1 ÷ 2 = 0 with a remainder of 1

Now, we can read the remainders in reverse order to get the binary representation:

11100101

So, the binary representation of the decimal number 357 is: 11100101

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