Convert the number from decimal form to the given base. Only enter the number in the base, not the base with it.
147 to base sixteen
well, it is less than sixteen squared, fo 147/16=9.1875=9*16 + .1875*16=
base 16=9 +3 or 093 in base 16
To convert the decimal number 147 to base sixteen (hexadecimal), we can follow these steps:
Step 1: Divide the decimal number by 16 and note down the remainder.
147 ÷ 16 = 9 remainder 3
Step 2: Write down the remainder found in step 1 as the least significant digit (rightmost digit). In this case, the remainder is 3, so the rightmost digit is 3.
Step 3: Divide the quotient obtained in step 1 by 16 and note down the remainder.
9 ÷ 16 = 0 remainder 9
Step 4: Write down the remainder found in step 3 as the second least significant digit.
In this case, the remainder is 9, so the second least significant digit is 9.
Step 5: Collect all the digits obtained in reverse order.
Therefore, the decimal number 147 in base sixteen (hexadecimal) is 93.
To convert a number from decimal form to a different base, follow these steps:
Step 1: Determine the base you want to convert to. In this case, the base is sixteen.
Step 2: Divide the decimal number by the base repeatedly to find the remainders. Start with the decimal number itself, then divide the quotient by the base, and continue until the quotient is zero. Keep track of the remainders at each step.
Let's do the division:
147 ÷ 16 = 9 remainder 3
9 ÷ 16 = 0 remainder 9
Step 3: Write down the remainders in reverse order to obtain the converted number. In this case, the remainders are 9 and 3.
Therefore, 147 in base ten is equivalent to 93 in base sixteen.