Short presentation of core items for IEEE 754 standard.

**Subject Computer Science Systems Architecture**

Short presentation of core items for IEEE 754 standard.

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1. 0001111101 -> 0001111101

We write the 32 bits like 1+8+23 (corresponding to sign, exponent and mantissa).

Because 143.625 is a positive number, it means the sign bit is 0.

The exponent bits are 10000110.

Finally, the remaining 23 bits for mantissa are 00011111010000000000000

Therefore the binary result is 01000011000011111010000000000000.

We now convert the binary result into hexadecimal format, starting on the right. This is equivalent with splitting the binary number in groups of 4 digits (each of them corresponding to a hex digit)....

We write the 32 bits like 1+8+23 (corresponding to sign, exponent and mantissa).

Because 143.625 is a positive number, it means the sign bit is 0.

The exponent bits are 10000110.

Finally, the remaining 23 bits for mantissa are 00011111010000000000000

Therefore the binary result is 01000011000011111010000000000000.

We now convert the binary result into hexadecimal format, starting on the right. This is equivalent with splitting the binary number in groups of 4 digits (each of them corresponding to a hex digit)....

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