A) Research regarding how to convert (steps) Deciimal Numbers to Binary Numbers, Binary Numbers to Decimal Numbers, Binary Numbers to Hexadecimal Numbers.
Question
A) Research regarding how to convert (steps)
- Decimal Numbers to Binary Numbers
- Binary Numbers to Decimal Numbers
- Binary Numbers to Hexadecimal Numbers
Solution
Sure, here are the steps for each conversion:
-
Decimal Numbers to Binary Numbers:
- Step 1: Start with the decimal number you want to convert.
- Step 2: Divide the number by 2.
- Step 3: Write down the remainder.
- Step 4: Divide the quotient from the previous step by 2.
- Step 5: Again, write down the remainder.
- Step 6: Repeat steps 4 and 5 until the quotient is 0.
- Step 7: The binary number is the remainder values written from bottom to top.
-
Binary Numbers to Decimal Numbers:
- Step 1: Start with the binary number you want to convert.
- Step 2: Starting from the rightmost digit (also known as the least significant bit), multiply each digit by 2 raised to the power of its position number (starting from 0).
- Step 3: Sum up all the values. The result is the decimal equivalent of the binary number.
-
Binary Numbers to Hexadecimal Numbers:
- Step 1: Start with the binary number you want to convert.
- Step 2: Group the binary number into sets of four digits starting from the right. If the leftmost group has less than four digits, add zeros to the left to make it a group of four.
- Step 3: Convert each group of four binary digits into its hexadecimal equivalent. (0000 = 0, 0001 = 1, 0010 = 2, 0011 = 3, 0100 = 4, 0101 = 5, 0110 = 6, 0111 = 7, 1000 = 8, 1001 = 9, 1010 = A, 1011 = B, 1100 = C, 1101 = D, 1110 = E, 1111 = F)
- Step 4: Write down all the hexadecimal digits in the same order. The result is the hexadecimal equivalent of the binary number.
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