IGNOU BEY 20 2026 - Convert the following numbers as stated1. Decimal 372.125 to

Question

Convert the following numbers as stated

1. Decimal 372.125 to binary

ii.Decimal 6400 to hexadecimal

111.Octal 754 to hexadecimal

iv. Octal 345 to decimal

06 Mar 2026

Answer :

Word Count : 504

To convert numbers between different bases, we follow systematic methods depending on whether the conversion is from decimal, octal, or to binary, hexadecimal, or decimal. i. Decimal 372.125 to binary To convert a decimal number with a fractional part to binary, we handle the integer part and fractional part separately. * Integer part: 372 Divide the number by 2 repeatedly and note the remainders: 372 ÷ 2 = 186 remainder 0 186 ÷ 2 = 93 remainder 0 93 ÷ 2 = 46 remainder 1 46 ÷ 2 = 23 remainder 0 23 ÷ 2 = 11 remainder 1 11 ÷ 2 = 5 remainder 1 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Writing remainders from bottom to top: 101110100 * Fractional part: 0.125 Multiply repeatedly by 2 and record the integer part: 0.125 × 2 = 0.25 → 0 0.25 × 2 = 0.5 → 0 0.5 × 2 = 1.0 → 1 So fractional binary part is 001. Combining integer and fractional parts: 372.125 in binary = 101110100.001 --- ii. Decimal 6400 to hexadecimal To convert

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