Question

Convert the following numbers as directed

(i) Decimal 125.0625 into binary and hexadecimal

(ii) Decimal 567898765 into binary and hexadecimal

(iii) String “Check the code of BCS-011 in @online" to ASCII and Unicode strings

(iv) Hexadecimal FEDCBA98 to decimal and binary

21 Jan 2021
Answer :
Word Count : 1086

(i) Decimal 125.0625 into binary and hexadecimal:

To convert the decimal number 125.0625 into binary, you can follow these steps:

Step 1: Convert the integer part (before the decimal point) into binary.
125 in decimal is 1111101 in binary.

Step 2: Convert the fractional part (after the decimal point) into binary.
0.0625 in decimal is 0.0001 in binary.

Step 3: Combine the binary representations of the integer and fractional parts.
So, 125.0625 in decimal is 1111101.0001 in binary.

To convert the binary representation into hexadecimal, you can group the binary digits into sets of four (starting from the right) and convert each set into its hexadecimal equivalent.

1111 1010 . 0001

Grouping them into sets of four, we have two groups: 1111 and 1010 on the left side of the decimal point, and 0001 on the right side.

1111 in binary is F in hexadecimal.
1010 in binary is A in hexadecimal.
0001 in binary is 1 in hexadecimal.

So, 125.0625 in decimal is 7DA.1 in hexadecimal.

(ii) Decimal 567898765 into binary and hexadecimal:

To convert the decimal number 567898765 into binary, you can follow these steps:

Step 1: Divide the number by 2, keeping track of the remainders.
567898765 / 2 = 283949382 with a remainder of 1.
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