Decimal To Binary numbers
By: Basma Asim 8-C
Step 1:Set up the problem. For this example, let's convert the decimal number 15610 to binary. Write the decimal number as the dividend inside an upside-down division symbol. Write the base of the destination system that is 2 as the divisor outside the division symbol.
so how will we convert decimal to binary
Step 2: Divide. Write the integer answer (quotient) under the long division symbol , and write the remainder (0 or 1) to the right of the dividend. Since we are dividing by 2, when the dividend is even the binary remainder will be 0, and when the dividend is odd the binary remainder will be 1.
Continue to divide until you reach 0. Continue downwards, dividing each new quotient by two and writing the remainders to the right of each dividend. Stop when the quotient is 0.
Step 4:Write out the new, binary number. Starting with the bottom remainder, read the sequence of remainders upwards to the top. For this example, you should have 10011100. This is the binary equivalent of the decimal number 156. Or, written with base subscripts: 15610 = 100111002