Question

Binary equivalent to decimal number 8.54​

Answer 1

Answer:

0-10000010-00010001010001111010111

Answer 2

Answer

Convert -8.54 to 32 Bit Single Precision IEEE 754 Binary Floating Point Standard, From a Base 10 Decimal Number

How to convert the decimal number -8.54(10)

to

32 bit single precision IEEE 754 binary floating point

(1 bit for sign, 8 bits for exponent, 23 bits for mantissa)

1. Start with the positive version of the number:

|-8.54| = 8.54

2. First, convert to the binary (base 2) the integer part: 8.

Divide the number repeatedly by 2.

Keep track of each remainder.

We stop when we get a quotient that is equal to zero.

division = quotient + remainder;

8 ÷ 2 = 4 + 0;

4 ÷ 2 = 2 + 0;

2 ÷ 2 = 1 + 0;

1 ÷ 2 = 0 + 1;