Question

Convert the following decimal numbers to binary number and hexadecimal number : (i) 125 (ii) 0.025

Answer 1

Decimal numbers to binary number and hexadecimal

• 125  Decimal number
• binary number,= 1111101
• Hexadecimal=7D
• 0.025 Decimal number
• binary number=0.025=0.0000011001100110011binary number    Hexadecimal=0.06666666666666666666 Hexadecimal

Explanation:

• Decimal numbers to binary number and hexadecimal
• 125  Decimal number
• binary number,= 1111101
• Hexadecimal=7D  
• 0.025 Decimal number
• binary number=0.025=0.0000011001100110011binary number    Hexadecimal=0.06666666666666666666 Hexadecimal
• Explanation:
• Decimal to binary
• Divide the number by 2.
• Get the whole division  for the next repetition
• Get the remainder is the binary digit.
• Repeat the steps until when that is not equal to 0.
• convert Decimal to Hexadecimal
• Divide by 16.
• Get the whole division  for the next repetition
• Get the remainder for the hex digit.
• Repeat the steps until when that  is not  equal to 0