algorithm - Exponent out of range: convert positive decimal number into floating point 3 bits exponent 5 bits mantissa format -
i have convert decimal 21
floating point 3 bits exponent 5 bits mantissa format, exponent must in two's complement code.
i did according algorithm presented here: http://sandbox.mc.edu/~bennet/cs110/flt/dtof.html
i normalize value: 21 decimal = 10101 x 2^0 = 1.0101 x 2^4
5 bits mantissa is: 01010
according point e. in given article bias 3 bits exponent field 2^(3-1)-1 = 3
add bias exponent 4 + 3 = 7
0111
in two's complement code on 4 bits exponent have 3 bits.
i have been told exponent field example should 001
don't know why.
question: why exponent field should 001
?
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