Question

Write is the base 10 number representation in 32-bit single-precision binary format (single) by 10111110110110000000000000000000?

Answer 1

`(10111110110110000000000000000000)_2=(3201826816)_(10)`

Explanation:

To find : Write is the base 10 number representation in 32-bit single-precision binary format (single) by 10111110110110000000000000000000 ?

Solution :

Converting binary format into base 10 is multiplying the digit by 2 to the place value value of digit.

Binary number is 10111110110110000000000000000000.

Converting into base 10,

`=1* 2^(31)+0* 2^(30)+1* 2^(29)+1* 2^(28)+1* 2^(27)+1* 2^(26)+1* 2^(25)+0* 2^(24)+1* 2^(23)+1* 2^(22)+0* 2^(21)+1* 2^(20)+1* 2^(19)+0* 2^(18)+0* 2^(17)+0* 2^(16)+0* 2^(15)+0* 2^(14)+0* 2^(13)+0* 2^(12)+0* 2^(11)+0* 2^(10)+0* 2^(9)+0* 2^(8)+0* 2^(7)+0* 2^(6)+0* 2^(5)+0* 2^(4)+0* 2^(3)+0* 2^(2)+0* 2^(1)+0* 2^(0)`

`=2147483648+0+536870912+268435456+134217728+67108864+33554432+0+8388608+4194304+0+1048576+524288+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0`

`=3201826816`

Therefore,
`(10111110110110000000000000000000)_2=(3201826816)_(10)`