Conversion’s in Number System… ✨

1. Decimal to Binary (Base 2)

1. Divide 45 by 2 and write down the remainders

• 45 ÷ 2 = 22 — remainder = 1
• 22 ÷ 2 = 11 — remainder = 0
• 11 ÷ 2 = 5 — remainder = 1
• 5 ÷ 2 = 2 — remainder = 1
• 2 ÷ 2 = 1 — remainder = 0
• 1 ÷ 2 = 0 — remainder = 1
• 45 in binary = 101101.

2. Decimal to Octal (Base 8)

• 45 ÷ 8 = 5 — remainder = 5
• 5 ÷ 8 = 0 — remainder = 5
• 45 in octal = 55.

3. Decimal to Hexadecimal (base 16)

• 45 ÷ 16 = 2 — remainder = 13
• 2 ÷ 16 = 0 — remainder = 2

45 in hexadecimal is = 2D.