Question

convert the decimal number 160 to binary number.​

Answer 1

Answer:

(160)^10 = (10100000)^2

Explanation:

Step by step solution

Step by step solutionStep 1: Divide (160)^10 successively by 2 until the quotient is 0:

successively by 2 until the quotient is 0:160/2 = 80, remainder is 0

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 0

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 0

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 0

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 010/2 = 5, remainder is 0

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 010/2 = 5, remainder is 05/2 = 2, remainder is 1

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 010/2 = 5, remainder is 05/2 = 2, remainder is 12/2 = 1, remainder is 0

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 010/2 = 5, remainder is 05/2 = 2, remainder is 12/2 = 1, remainder is 01/2 = 0, remainder is 1

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 010/2 = 5, remainder is 05/2 = 2, remainder is 12/2 = 1, remainder is 01/2 = 0, remainder is 1Step 2: Read from the bottom (MSB) to top (LSB) as 10100000.

successively by 2 until the quotient is 0:160/2 = 80, remainder is 080/2 = 40, remainder is 040/2 = 20, remainder is 020/2 = 10, remainder is 010/2 = 5, remainder is 05/2 = 2, remainder is 12/2 = 1, remainder is 01/2 = 0, remainder is 1Step 2: Read from the bottom (MSB) to top (LSB) as 10100000.So, 10100000 is the binary equivalent of decimal number 160 (Answer).

hope it will help u ✌️✌️