Decimal to Binary Ka Question solve (164)2

Question

ScanSolve AI Tutor · Accepted Answer

To convert the decimal number 164 to binary, we use the method of repeated division by 2.

Divide 164 by 2 and record the remainder.
$164 \div 2 = 82$ remainder 0
Divide the quotient (82) by 2 and record the remainder.
$82 \div 2 = 41$ remainder 0
Divide the quotient (41) by 2 and record the remainder.
$41 \div 2 = 20$ remainder 1
Divide the quotient (20) by 2 and record the remainder.
$20 \div 2 = 10$ remainder 0
Divide the quotient (10) by 2 and record the remainder.
$10 \div 2 = 5$ remainder 0
Divide the quotient (5) by 2 and record the remainder.
$5 \div 2 = 2$ remainder 1
Divide the quotient (2) by 2 and record the remainder.
$2 \div 2 = 1$ remainder 0
Divide the quotient (1) by 2 and record the remainder.
$1 \div 2 = 0$ remainder 1

To get the binary representation, read the remainders from bottom to top.
The remainders are 1, 0, 1, 0, 0, 1, 0, 0.

So, the binary representation of decimal 164 is $10100100_2$ .
$164_{10} = 10100100_2$

Answer