Convert the binary number 111000111.011 to decimal.........how would i do this?

Answer 1

On the left hand side of the decimal point: (1x2^8)+(1x2^7)+(1x2^6)+ (0x2^5)+(0x2^4)+(0x2^3)+ (1x2^2)+(1x2^1)+(1x2^0)
= 455

On the right hand side of the decimal point:
(0x2^-1)+(1x2^-2)+(1x2^-3)
= 3/8 = 0.375

So in decimal, the answer is 455.375.

Answer 2

Convert the binary number 111000111.011 to decimal.
Divide the number into groups of three as follows:
111 000 111. 011 Now convert to octal. 111base 2 = 7 base 8, and 011 = 3 base 8 so we get
707.3, so the number is 7*8^2 + 0*8^1 + 7* 8^0 .+ .3*8 ^-1
= 448+0+7 + 3/8= 455.375 base 10

All you need to remember is that
000 = 0
001 = 1
010 = 2
011 = 3
100 = 4
101 = 5
110 = 6
111= 7

111101011100111 in the binary system would be
75347 in the octal system

An easy way to convert octal to decimal is :
Take the first octal digit and multiply it by 8 getting 56. Then add the next digit getting 61. Now multiply this by 8 getting 488 and add the next digit getting 491. Now multiply this by 8 getting 3928 and add the next digit getting 3932. Now multiply this by 8 getting 31424 and add the last digit getting 31431 which is the final answer.

Answer 3

from the left side of decimal, start going futher left starting with 2^0 and next one being 2^1, 2^2....etc. now add the once that are under 1 since 1 has value and 0 doesnt have a value. cant tell much about the right side

2^8+2^7+2^6+2^2+2^1+1(2^0).011

Answer 4

From Windows, bring up the calculator (in the accessories folder). Set to "scientific" view. In the upper left portion, there are four radio buttons: Hex, Dec, Oct, and Bin. Set to Bin (binary) enter your number, then click Dec (Decimal).